Search

Gupta, Vijay/0000-0002-5768-5763; ARAL, Ali/0000-0002-2024-8607 WOS:000549958400001 In this paper, we give a generalization of the Baskakov-Kantorovich type operators that reproduce functionse(0)ande(-x). We discuss uniform convergence of this generalization by means of the modulus of continuity and establish quantitive asymptotic formula.

ARAL, Ali/0000-0002-2024-8607 WOS: 000503431300011 In this paper, we introduce and study new type Szasz-Mirakyan-Kantorovich operators using a technique different from classical one. This allow to analyze the mentioned operators in terms of exponential test functions instead of the usual polynomial type functions. As a first result, we prove Korovkin type approximation theorems through exponential weighted convergence. The rate of convergence of the operators is obtained for exponential weights.

WOS: 000503431300022 In this paper, we consider a family of nonlinear integral operators of Urysohn-type and study the pointwise convergence of the family at characteristic points of L-1-function. The kernel K-lambda(x, t, u(t)) depends on the positive parameter lambda changing on the set of numbers with the accumulation point at infinity and K-lambda(x, t, u(t)) is an entire analytic function of variable u, which is a bounded function belonging to L-1(R).

In the first part of this paper we discuss the completeness of two general classes of weighted inductive limits of spaces of ultradifferentiable functions. In the second part we study their duals and characterize these spaces in terms of the growth of convolution averages of their elements. This characterization gives a canonical way to define a locally convex topology on these spaces and we give necessary and sufficient conditions for them to be ultrabornological. In particular, our results apply to spaces of convolutors for Gelfand-Shilov spaces., Comment: 35 pages

In this paper we consider a general class of external cusps defined by linking appropriate collections of John domains. For that class, weighted Korn inequalities are proved by means of rather elementary arguments. Fil: Acosta, Gabriel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina Fil: Ojea, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina

We introduce a nabla, a delta, and a symmetric fractional calculus on arbitrary nonempty closed subsets of the real numbers. These fractional calculi provide a study of differentiation and integration of noninteger order on discrete, continuous, and hybrid settings. Main properties of the new fractional operators are investigated, and some fundamental results presented, illustrating the interplay between discrete and continuous behaviors., This is a preprint of a paper whose final and definite form will be published in Mathematical Methods in the Applied Sciences, ISSN 0170-4214. Submitted 05/March/2014; revised 24/Feb/2015; accepted 25/Feb/2015. arXiv admin note: text overlap with arXiv:1405.2813