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Background/aim: We aimed to compare the results of open surgery and double-port laparoscopic-assisted extracorporeal suturing repair for the treatment of Morgagni hernia (MH). Materials and methods: Twenty-two patients with MH who were operated on in our clinic between January 2012 and January 2023 were included in the study. Patients were divided into two groups according to the surgical technique: open surgery (OS) (n = 14) or laparoscopic surgery (LS) (n = 8). Retrospective comparisons were made between the groups' demographic information, surgical method used, defect size, operation time, length of hospital stay, costs, postoperative problems, and recurrence. Results: There were no statistically significant differences between the groups regarding sex, defect size, or costs. The mean age of the patients in the LS group (101 ± 68.3 months) was significantly higher than that of the OS group (23 ± 18.2 months) (p = 0.005). The operation time of the LS group (33.8 ± 3.6 min) was significantly shorter than that of the OS group (50.8 ± 6.5 min) (p < 0.01). Moreover, the LS group's mean length of hospitalization (1.6 ± 0.9 days) was significantly lower than that of the OS group (2.8 ± 0.7 days) (p = 0.027). Conclusion: Double-port laparoscopic-assisted extracorporeal suturing repair is a reliable technique preferred over open surgical repair due to its shorter operative time and hospital stay, ease of application, better cosmetic results, and no cost difference. [ABSTRACT FROM AUTHOR]

In this research, a novel method for enhancing the Hölder–Işcan inequality through the utilization of both integrals and sums, as well as the mean power inequality, has been introduced. This approach outperforms traditional Hölder and mean power integral inequalities by employing a finite set of functions. Through the careful selection of the function ϕ$$ \phi $$, an entirely new category of classical inequalities emerges for both Hölder and mean power inequalities. [ABSTRACT FROM AUTHOR]

Milne-type inequalities for \(h\)-convex functions involving conformable operators are established. Additionally, new results are presented that generalize various known inequalities. [ABSTRACT FROM AUTHOR]

Aims: This study aims to evaluate the role of standardized dynamic renal scintigraphy (DRS) in recognizing vesicoureteral reflux (VUR) in patients detected with VUR by voiding cystourethrography (VCUG). Methods: The data of all pediatric patients who underwent both VCUG and DRS [technetium-99m diethylenetriaminepentaacetic acid (Tc-99m DTPA) or technetium-99m mercaptoacetyltriglycine dynamic renal scintigraphy (Tc-99m MAG-3)] in our hospital between 2013 and 2022 were retrospectively reviewed. Tc-99m MAG-3 was used in infants and Tc-99m DTPA radiopharmaceutical in children over one year old. According to VCUG findings, VUR grades were grouped as grade I-II-III low-grade VUR and IV-V high-grade VUR. The role of DRS in detecting VUR in both low and high-VUR-grade groups was evaluated. Results: A total of 56 patients (and 69 renal units), 23 girls (%41.1), and 33 boys (%68.9) were included in this study. The median value of the time elapsed between the DRS and VCUG examinations was nine days. According to VCUG, VUR was grade I in five renal units, grade II in 19 renal units, grade III in six renal units, grade IV in six renal units, and grade V in 33 renal units. DRS detected VUR in two of 30 renal units (%6.7) in the low VUR grade group. On the other hand, VUR was observed with DRS in 27 of 39 renal units (%69.2) in the high VUR grade group. Conclusions: Standardized DRS shows very low sensitivity in recognizing low-grade VUR, and its performance in detecting high-grade VUR is comparatively better. Increasing the awareness of clinicians about the detection of VUR with standardized DRS will benefit patients. [ABSTRACT FROM AUTHOR]

The main object of this paper is to present some generalizations of fractional integral inequalities involving Euler's beta function of Hermite-Hadamard type which cover the previously published result such as Riemann integral, Riemann-Liouville fractional integral, k-Riemann-Liouville fractional integral. [ABSTRACT FROM AUTHOR]

In this work, Hermite-Hadamard type inequalities for subadditive functions via quantum integrals are established. Moreover, Hermite-Hadamard type inequalities for the product of two subadditive functions are also obtained. It is worth to mentioning that some existing inequalities of Hermite-Hadamard type for subadditive functions are obtained by considering the limit of the real number q ∈ (0,1) as q → 1− in the key results. [ABSTRACT FROM AUTHOR]

In this article, we give a new version of n-tuple diamond-alpha Hölder inequality on time scales, this result generalizes some results known in the literature. Second, we present n-tuple diamond-alpha inequality with two parameters on time scales. It is a tool to generalize integral inequalities on time scales, its goal is to create an inequality restarted from the left side with a parameter to a right side with two parameters. Moreover, new Minkowski integral inequality with two parameters is given, and some interesting integral inequalities are found. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of (p,ϕh)-convex functions and present some properties and representation of such functions. Finally, a version of Hermite Hadamard-type inequalities for (p,ϕh)-convex functions are established. [ABSTRACT FROM AUTHOR]

In this paper, we obtain an important inequalities for coordinated convex functions and as a result of these inequalities we give the extension of Hermite–Hadamard type inequalities for Riemann–Liouville fractional integral and logarithmic integral. The inequalities obtained in this study provide generalizations of some result given in earlier works. [ABSTRACT FROM AUTHOR]

The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers. After that, we prove a generalized q-Minkowski integral inequality. Finally, with the help of the obtained equalities and the generalized q-Minkowski integral inequality, we obtain the results we want. The outcomes presented in this paper are q-extensions and q-generalizations of the comparable results in the literature on inequalities. Additionally, by taking the limit q → 1 − , our results give classical results on the Hardy inequality. [ABSTRACT FROM AUTHOR]

In this paper, we establish Hermite-Hadamard inequalities for subadditive functions, and we give some related inequalities according to Hermite-Hadamard inequalities, which generalized the previously published results. [ABSTRACT FROM AUTHOR]

We give some weighted double integral inequalities of Hermite- Hadamard type for co-ordinated convex functions in a rectangle from ℝ². The inequalities obtained provide generalizations of some result given in earlier works. [ABSTRACT FROM AUTHOR]

We firstly establish inequalities for functions whose high degree derivatives are convex via an equality which was presented previously. Then we derive inequalities for functions whose high-order derivatives are absolutely continuous by using the same equality. In addition, we examine connections between inequalities obtained in earlier works and our results. Finally, some estimates of composite quadrature rules are given. [ABSTRACT FROM AUTHOR]

After the death of the Prophet, Muslims differed in their understanding of religion. These differences revealed religious groups called "sect" and "sufi order" in the classical period and "jamaat" in the modern period. Jamaats in Turkey are the groups which are considerably dependent on the mystical traditions. In this article, firstly, Prof. Dr. Hasan Onat's views on the sect and jamaat groups, and then, his views on Alawism-Bektashism, will be examined. Onat accepts that the orders and jamaats are the reality of the the society in Turkey. He evaluates these groups which he calls "jamaats of orders", with their positive and negative aspects. Alawism-Bektashism are also among these groups, but they have an unique structure. Onat examines the historical dimension of Alawism by focusing on the Bektashi lodge which is attributed to Sheikh Safi al-Din's lodge. He examined the subtitles of the subject in different studies by making some determinations about the current problems of Alawism-Bektashism. [ABSTRACT FROM AUTHOR]

In this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated convex functions in a rectangle from the plane ℝ². Moreover, we give the some refinement of these obtained Hermite-Hadamard-Fejer inequalities utilizing two mapping. The inequalities obtained in this study provide generalizations of some result given in earlier works. [ABSTRACT FROM AUTHOR]

In this paper, we give some new types of the classical Hardy integral inequality by including a second parameter q and using weighted mean operators S1:=(S1)gw and S2:=(S2)gw defined by S1(x)=1W(x)∫axw(t)g(f(t))dt,S2(x)=∫axw(t)W(t)g(f(t))dt,with W(x)=∫0xw(t)dt,forx∈(0,+∞),where w is a weight function and g is a real continuous function on (0,+∞). [ABSTRACT FROM AUTHOR]

In this paper, we first give a lemma for twice differentiable function to obtain trapezoid and midpoint inequalities. By using this lemma, we establish some inequalities for mapping whose second derivatives in absolute value are convex via Riemann-Liouville fractional integrals. These results generalize the midpoint and trapezoid inequalities involving Riemann-Liouville fractional integrals given in earlier studies. [ABSTRACT FROM AUTHOR]

This study establishes Newton-type inequalities for third differentiable and s-convex functions that use the Riemann integral. New Newton-type inequalities are also introduced using a summation parameter p ≥ 1 for various convexity cases. [ABSTRACT FROM AUTHOR]

In 2007, Bicheng Yang [3] presented a new Hardy-type integral inequality with a best constant factor. The aim of this work is to give a direct generalization of these inequalities obtained with negative parameter p < 0. [ABSTRACT FROM AUTHOR]

In this paper, we establish the Opial-type inequalities for a conformable fractional integral and give some results in special cases of α. The results presented here would provide generalizations of those given in earlier works. [ABSTRACT FROM AUTHOR]

In this study, some pre-Grüss type results involving conformable fractional integrals are derived. Afterward, novel inequalities involving cumulative distribution function, conformable fractional expectation value and moment, and conformable variance of the random variable pdf of which is bounded are obtained. Lastly, by means of inequalities presented in this work, some estimates of composite quadrature rules are provided. [ABSTRACT FROM AUTHOR]

Firstly, some new definitions which are the special cases of h-convex stochastic proceses are given. Then, we establish a new refinement of Hermite-Hadamard inequality for h-convex stochastic processes and give some special cases of this result. [ABSTRACT FROM AUTHOR]

We firstly establish Hermite-Hadamard type integral inequalities for fractional integral operators. Secondly, we give new generalizations of fractional Ostrowski type inequalities through convex functions via Hölder and power means inequalities. In accordance with this purpose, we use fractional integral operators with exponential kernel. [ABSTRACT FROM AUTHOR]

In this paper, an important integral equality is derived. Then, we establish several new inequalities for some twice differentiable mappings that are connected with the celebrated Hermite-Hadamard type and Ostrowski type integral inequalities. Some of the new inequalities are obtained by using Grüss inequality and Chebyshev inequality. The results presented here would provide extensions of those given in earlier works [ABSTRACT FROM AUTHOR]

In this paper, we have established the left hand side of the Hermite-Hadamard-Fejer type inequalities for the class of functions whose derivatives in absolute value at certain powers are convex functions by using fractional integrals. [ABSTRACT FROM AUTHOR]

In this paper, some new inequalities for generalized convex functions are obtained. Some applications for some generalized special means are also given. [ABSTRACT FROM AUTHOR]

In this paper, utilizing convex functions, we first establish new refinements of Hermite-Hadamard-Fejer type inequalities via Riemann-Liouville fractional integral operators. A generalized refinements of Hermite-Hadamard-Fejer type inequalities for fractional integral operators with exponential kernel is also obtained. The results given in this paper would provide extensions of those presented in earlier studies. [ABSTRACT FROM AUTHOR]

Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given. [ABSTRACT FROM AUTHOR]

In this paper, we extend some weighted version of the Hermite-Hadamard type and Fejér type inequalities for fractional integrals. The results presented here would provide extensions of those given in earlier works. [ABSTRACT FROM AUTHOR]

Fractional q -calculus is considered to be the fractional analogs of q -calculus. In this paper, the fuzzy interval-valued Riemann–Liouville fractional (RLF) q -integral operator is introduced. Also new fuzzy variants of Hermite–Hadamard (HH) type and HH–Fejér inequalities, involving ℏ -convex fuzzy interval-valued functions (FIVFs), are presented by making use of the RLF q -integral. The results not only generalize existing findings in the literature but also lay a solid foundation for research on inequalities concerning FIVFs. Moreover, to verify our theoretical findings, numerical examples and imperative graphical illustrations are provided. [ABSTRACT FROM AUTHOR]

In this study, we establish some new weighted Iyengar-type integral inequalities using fractional Steffensen's inequality for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works. [ABSTRACT FROM AUTHOR]

In this paper, we obtain Simpson's type inequality for the function whose second derivatives absolute values are F-convex. Then, we give some special cases of the mappings F. [ABSTRACT FROM AUTHOR]

In this paper, some Opial-type inequalities for conformable fractional integrals are obtained using the remainder function of Taylor's theorem for conformable integrals. [ABSTRACT FROM AUTHOR]

In this paper, we give new some inequalities of Hermite-Hadamard's and Ostrowski's type for convex functions on the co-ordinates defined in a rectangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane. [ABSTRACT FROM AUTHOR]

The main aim of this paper is to establish some companions of Ostrowski type integral inequalities for functions whose second derivatives are bounded. Moreover, some Ostrowski type inequalities are given for mappings whose first derivatives are of bounded variation. Some applications for special means and quadrature formulae are also given. [ABSTRACT FROM AUTHOR]

In this study, we obtain some new weighted inequalities of Grüss type for functions of two independent variables. Special cases of the results presented here reduce the results given in earlier works. [ABSTRACT FROM AUTHOR]

First, we establish the generalized Ostrowski inequality for local fractional integrals on fractal sets Rα (0 < α ≤ 1) of real line numbers. Secondly, we obtain some new inequalities using the generalized convex function on fractal sets Rα. [ABSTRACT FROM AUTHOR]

In this paper first we define a new functional which is a weighted version of the functional defined by Dragomir and Fedotov. Then, some inequalities involving this functional are obtained. Finally, we apply this result to establish new bounds for weighted Chebysev functional. [ABSTRACT FROM AUTHOR]

In this paper, we establish some generalized Ostrowski-type inequalities for functions whose first derivatives absolute values are convex. [ABSTRACT FROM AUTHOR]

In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of Hermite-Hadamard-type inequalities for Riemann-Liouville fractional integrals. [ABSTRACT FROM AUTHOR]

In this study, we establish generalized Grüss type inequality and some generalized Čebyšev type inequalities for local fractional integrals on fractal sets R α (0 < α ≤ 1) of real line numbers. [ABSTRACT FROM AUTHOR]