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International Conference of Mathematical Sciences (ICMS) -- JUL 31-AUG 06, 2018 -- Maltepe Univ, Istanbul, TURKEY WOS: 000472950300050 In this paper, we introduce a concept of lacunary statistically p-quasi-Cauchyness of a real sequence in the sense that a sequence (alpha(k)) is lacunary statistically p-quasi-Cauchy if lim(r ->infinity) 1/h(r)vertical bar{k is an element of I-r : vertical bar alpha(k+p) - alpha(k)vertical bar >= epsilon}vertical bar = 0 for each epsilon > 0. A function f is called lacunary statistically p-ward continuous on a subset A of Me set of real numbers R if it preserves lacunary statistically p quasi-Cauchy sequences, i.e. the sequence f(x) = (f(alpha(n))) is lacunary statistically p-quasi-Cauchy whenever alpha = (alpha(n)) is a lacunary statistically p-quasi-Cauchy sequence of points in A. It turns out that a real valued function f is uniformly continuous on a bounded subset A of R if there exists a positive integer p such that f preserves lacunary statistically p-quasi-Cauchy sequences of points in A.

In this paper, the concept of an Sθ-δ2-quasi-Cauchy sequence is investigated. In this investigation, we proved interesting theorems related to Sθ-δ2-ward continuity, and some other kinds of continuities. A real valued function f defined on a subset A of R, the set of real numbers, is called Sθ-δ2-ward continuous on A if it preserves Sθ-δ2-quasi-Cauchy sequences of points in A, i.e. (f(αk)) is an Sθ-δ2-quasi-Cauchy sequence whenever (αk) is an Sθ-δ2-quasi-Cauchy sequence of points in A, where a sequence (αk) is called Sθ-δ2-quasi-Cauchy if (Δ2αk) is an Sθ-quasi-Cauchy sequence. It turns out that the set of Sθ-δ2-ward continuous functions is a closed subset of the set of continuous functions.In this paper, the concept of an Sθ-δ2-quasi-Cauchy sequence is investigated. In this investigation, we proved interesting theorems related to Sθ-δ2-ward continuity, and some other kinds of continuities. A real valued function f defined on a subset A of R, the set of real numbers, is called Sθ-δ2-ward continuous on A if it preserves Sθ-δ2-quasi-Cauchy sequences of points in A, i.e. (f(αk)) is an Sθ-δ2-quasi-Cauchy sequence whenever (αk) is an Sθ-δ2-quasi-Cauchy sequence of points in A, where a sequence (αk) is called Sθ-δ2-quasi-Cauchy if (Δ2αk) is an Sθ-quasi-Cauchy sequence. It turns out that the set of Sθ-δ2-ward continuous functions is a closed subset of the set of continuous functions.

We consider hypersurfaces of Riemannian space forms in terms of the type of their Gauss map, spherical Gauss mapor hyperbolic Gauss map. We give a brief summary of results on submanifolds withLkfinite type Gauss map fork>0. We alsoobtain some classification results.

1st International Conference on Mathematical and Related Sciences, ICMRS 2018, 30 April 2018 through 4 May 2018, In this paper, it is defined the operator GA-convex functions for continuous functions of self-adjoint operators in Hilbert spaces. And then it is obtained some new Hermite-Hadamard type inequalities for this class of functions. © 2018 Author(s). Duzce University

International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 25-30, 2017 -- Thessaloniki, GREECE WOS: 000445105400300 In the present paper, we have generalized two main theorems dealing with weighted mean summability for absolute matrix sununability which play a vital role in the field of theory and application of summability by using quasi-monotone sequences. These sequences have assumed great importance because of their applicability and usefulness in other fields. Ahi Evran University Scientific Research Projects Coordination UnitAhi Evran University [FEF.A3.17.003] This work was supported by the Ahi Evran University Scientific Research Projects Coordination Unit. Project Number: FEF.A3.17.003

32nd International Physics Congress of Turkish-Physical-Society (TPS) -- SEP 06-09, 2016 -- Bodrum, TURKEY WOS: 000435205100035 A theoretical study is presented for the structural, electronic, elastic and phonon properties of Co3W compounds in L1(2) phase in the framework of density functional theory. The calculations are carried out within the PBE-GGA for the exchange correlation potential. The electronic structure and particle density of states (DOS) show that Co3W compound is metallic with sturdy hybridization near the Fermi level. The phonon dispersion curves, and the projected density of states been investigated for the first time with an alpha b initio method using density functional perturbation theory (DFPT). Temperature variations of specific heat capacity in the range of 0-2000 K are obtained using the quasi-harmonic model. Turkish Phys Soc Ahi Evran University Research Project UnitAhi Evran University [EGT.E2.16.016] This work was supported by the Ahi Evran University Research Project Unit under Project no. EGT.E2.16.016.

International Conference on Advances in Natural and Applied Sciences (ICANAS) -- APR 21-23, 2016 -- Antalya, TURKEY WOS: 000376001000091 In this work we consider a class of Sturm-Liouville problems with eigenparameter dependent boundary and transmission conditions. By suggesting an own approaches we have presented a formula for Green's function. We construct a new Hilbert space and linear selfadjoint operator in it for operator realization of the problem, and state the main spectral properties of this operator.

International Conference on Advances in Natural and Applied Sciences (ICANAS) -- APR 21-23, 2016 -- Antalya, TURKEY WOS: 000376001000088 In this work we consider a Sturm-liouville equation on finite number disjoint intervals together with transmission conditions at the points of interaction. Moreover, the eigenvalues parameter appears linearly in the boundary conditions. We investigate some properties of eigenvalues and eigenfunctions of the considered problem and derive asymptotic formulas for the eigenvalues.

3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTAN WOS: 000383223000025 We investigate a new type boundary value problem consisting of a differential-operator equation, eigendependent boundary conditions and two supplementary conditions so-called interface conditions. We give a characterisation of some spectral properties of the considered problem. Particularly, it is established such properties as isomorphism and coerciveness, discreteness of the spectrum and find asymptotic formulas for eigenvalues. Inst Math & Math Modeling, Al Farabi Kazakh Natl Univ, L N Gumilyov Eurasian Natl Univ

Badji Mokhtar Annaba University;Fatih University;Institute of Mathematics and Mathematical Modeling International Conference on Advancements in Mathematical Sciences, AMS 2015 -- 5 November 2015 through 7 November 2015 -- -- 115706 In the present paper, we summarize the literature concerning two dimensional dual matrices and related results. Finally, after giving the general statement of usual dual summability methods we emphasize on four dimensional dual matrices, as a new development of the concept of dual matrices. © 2015 AIP Publishing LLC.

Santilli Foundation International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 -- 22 September 2014 through 28 September 2014 -- -- 111492 In this study, the solutionsof system of the first kind Cauchy type singular integral equation are presented for bounded at the left limit point x = -1 and unbounded at the right limit point. Numerical solutions are presented for mentioned case by transforming first kind of singular integral equations to the system of linear equation using Chebyshev series expansion. © 2015 AIP Publishing LLC.

Let f = h(z) + be a sense-preserving harmonic mapping in the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar 1/b(1) g'(z)/h' (z) - M vertical bar < M, M > 1/2, then f is called bounded harmonic mapping. The main purpose of this paper is to give some properties of the class of bounded harmonic mapping. Publisher's Version

International Conference of Computational Methods in Sciences and Engineering 2014 (ICCMSE) -- APR 04-07, 2014 -- Athens, GREECE WOS: 000346015200042 The structural, electronic and dynamic properties of the cubic Co3Ti alloy in L1(2) structure have been investigated using a pseudopotential plane wave (PP-PW) method within the generalized gradient approximation proposed by Perdew-Burke-Ernzerhof (GGA-PBE). The structural properties, including the lattice constant, the bulk modulus and its pressure derivative agree reasonably with the previous results. The density of state (DOS), projected density of state (PDOS) and electronic band structure are also reported. The DOS shows that Co3Ti alloy has a metallic character since the energy bands cross the Fermi level. The density of states at Fermi level mainly comes from the Co-3d states. Phonon dispersion curves and their corresponding total densities of states were obtained using a linear response in the framework of the density functional perturbation theory. All computed phonon frequencies are no imaginer and thus, Co3Ti alloy is dynamically stable. The zone center phonon modes have been founded to be 9.307, 9.626 and 13.891 THz for Co3Ti. European Soc Computat Methods Sci Engn & Technol Ahi Evran University Research [YO-J.4010 14.001] This work was supported by Ahi Evran University Research Project Unit under YO-J.4010 14.001.

Bu çalışma, 19-25 Eylül 2012 tarihleri arasında Kos[Yunanistan]’da düzenlenen International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. The number lambda(q) = 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups, and in the study of regular polyhedra. There are many results about the minimal polynomial of this algebraic number and in some of these methods, the minimal polynomials of several algebraic numbers are used. Here we obtain the minimal polynomial of one of those numbers, cos(2 pi/n), over the field of rationals by means of the better known Chebycheff polynomials for odd q and give some of their properties. We calculated this minimal polynomial for n is an element of N by using the Maple language and classifying the numbers n is an element of N into different classes. European Soc Computat Methods Sci, Engn & Technol (ESCMSET) R M Santilli Fdn

Bu çalışma, 19-25 Eylül 2012 tarihleri arasında Kos[Yunanistan]’da düzenlenen International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. In this study, we first find formulae for the first and second Zagreb indices and coindices of certain classical graph types including path, cycle, star and complete graphs. Secondly we give similar formulae for the first and second Zagreb coindices. European Soc Computat Methods Sci, Engn & Technol R M Santilli Fdn

Bu çalışma, 19-25 Mayıs 2012 tarihleri arasında Kos[Yunanistan]’da düzenlenen International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. The number lambda(q) = 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups and in the study of regular polyhedra. There are many results about the minimal polynomial of this algebraic number. Here we obtain the minimal polynomial of these numbers over the field of rationals by means of the better known Chebycheff polynomials and the Maple language. European Soc Computat Methods Sci, Engn & Technol (ESCMSET) R M Santilli Fdn

Conference: International Congress on Advances in Applied Physics and Materials Science -- Location: Antalya, (Turkey) -- Conference date: 12–15 May 2011 -- Published in: AIP Conference Proceedings (2011), Kappa (-) carrageenan gels prepared with various carrageenan concentrations in pure water were completely dried and then swelled in water vapor. Steady state fluorescence measurements were performed using a spectrometer equipped with temperature controller. Pyranine was embedded in -carrageenan gels as a fluorescence probe during gel preparation. The fluorescence intensity, I, increased exponentially as swelling time is increased for all gel samples. The increase in I was modelled using Li-Tanaka equation from which swelling time constants, c and cooperative diffusion coefficients, Dc were determined. It was observed that Dc increased as the swelling temperature was increased. On the other hand at each temperature, it was seen that Dc decreased as kappa carrageenan concentration was increased. Activation energies for swelling were obtained and found to be 57.4, 58.3 and 62.73kJ mol-1 for the gels with increasing amount of - K-carrageenan content.

Bu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. In this paper, derivatives of the product of Bernstein polynomials of the same and different degrees are obtained. Also a recurrence formula for those polynomials together with some new properties are given. European Soc Computat Methods Sci & Engn (ESCMSE) R M Santilli Fdn ACC I S

Bu çalışma, 19-25 Eylül 2011 tarihlerinde Halkidiki[Yunanistan]'de düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)'da bildiri olarak sunulmuştur. In [3], Greenberg showed that n

The aim of this paper is to define the generating functions of the Bernoulli, Euler and Genocchi polynomials of higher order. By using these generating functions, we derive some identities and relations on these polynomials. Our results generalize the classical Bernoulli, Euler, Genocchi polynomials and also Apostol-Bernoulli, Apostol-Euler and Apostol Genocchi polynomials.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 19-25, 2011 -- Halkidiki, GREECE WOS: 000302239800081 In this paper we obtain some bounds for the clique number omega and the independence number alpha, in terms of the eigenvalues of the normalized Laplacian matrix of a graph G. European Soc Computat Methods Sci & Engn (ESCMSE), R M Santilli Fdn, ACC I S

Bu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. In the present paper, two new second order of accuracy absolutely stable difference schemes are presented for the nonlocal boundary value problem { d(2)u(t)/dt(2) + Au(t) = f(t) (0

Bu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’de düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. In this paper, we investigate some combinatoric properties of the Projective Klingenberg planes coordinatized with a finite local ring R when the cardinality of set I of the non-unit elements of R is k. As a result we arrive at the result that the order of the projective plane underlying projective Klingenberg plane must be n k, which is the index of I in R when |R| = n. Although some of the results given here can be found in the literature [1], [3] and [4] we approach to them in a direct way and give alternative proofs. European Soc Computat Methods Sci & Engn (ESCMSE) R M Santilli Fdn ACC I S

Bu çalışma, 19-15 Eylül 2010 tarihleri arasında Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur. The aim of this work is to derive the connection among cycle, proper cycle, right and left neighbour of indefinite reduced binary quadratic form F(x,y) = ax(2) + bxy + cy(2) of discriminant Delta = b(2) - 4ac. European Soc Comp Methods Sci & Engn

Bu çalışma, 19-25 Eylül 2010 tarihleri arasında Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur. In this paper, we study the primes in the ring Z[w], where w = exp(2 pi i/3) is a cubic root of unity. We gave a classification of them and some results related to the use of them in the calculation of cubic residues are obtained. European Soc Comp Methods Sci & Engn

Bu çalışma, 21-26 Haziran 2010 tarihleri arasında Sozopol[Bulgaristan]'da düzenlenen 2. International Conference on Application of Mathematics in Technical and Natural Sciences'da bildiri olarak sunulmuştur. The main purpose of this paper is to construct partial twisted zeta-type function, which interpolates q-generalized Frobenius-Euler numbers and twisted q-generalized Frobenius-Euler numbers. We give some applications related to this function. Akdeniz Üniversitesi

Bu çalışma, 19-25 Eylül 2010 tarihleri arasında Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur. In this paper the Estrada index of Hermite matrix is firstly defined and investigated. In fact this is a natural generalization of Estrada, distance Estrada and Laplacian Estrada indices. Thus all properties about them can be handled by this new index. European Soc Comp Methods Sci & Engn

Bu çalışma, 25-30 Eylül 2008 tarihleri arasında Hersonissos[Yunanistan]’da düzenlenen International Conference on Computational Methods in Science and Engineering’da bildiri olarak sunulmuştur. Main purpose of this paper is to construct higher-order w-q-Genocchi numbers and polynomials by using p-adic q-deformed fermionic integral on Z(p). We derive some interesting identities related to higher-order w-q-Genocchi numbers and polynomials. We also construct Hurwitz type multiple w-Genocchi zeta function which interpolates these polynomials at negative integers. Akdeniz Üniversitesi European Soc Computat Methods Sci & Engn Minist Natl Educ & Religious Affairs

Bu çalışma, 18-22 Eylül 2009 tarihleri arasında Rethymnon[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur. The aim of this paper is to give relations between generalized Dedekind eta functions, theta functions, Dedekind sums, Hardy-Berndt sums and Hecke operators. Akdeniz Üniversitesi Greek Minist Educ & Religious Affairs European Soc Computat Methods Sci & Engn