Results 41 to 50 of about 1,445 (159)
Korovkin Second Theorem via -Statistical -Summability
Abstract and Applied Analysis, 2013 Korovkin type approximation theorems are useful tools to check whether a given sequence of positive linear operators on of all continuous functions on the real interval is an approximation process.
M. Mursaleen, A. Kiliçman
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The analogs of the Korovkin theorems in banach function spaces
Positivity, 2022 In the present paper Korovkin type theorems are studied in the setting of Banach function spaces. The authors introduce, for a given Banach function space \(X\), a special subspace \(X^S\) that they denominate the ``subspace generated by the shift operator'' and prove the density of the \(C_0^{\infty}\) in \(X^S\).
Yusuf Zeren +2 more
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Korovkin theorems on weighted spaces: revisited
Periodica Mathematica Hungarica, 2017 The paper contains new, direct and easy proofs of the Korovkin theorems for positive linear operators acting on weighted spaces. An important tool is a lemma of \textit{A. D. Gadziev} [Mat. Zametki 20, 781--786 (1976; Zbl 0383.41016)]. Using it, the authors revise the proofs of some of their earlier results. First, the ordinary approximation process by
Özlem G. Atlihan +2 more
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Operators Obtained by Using Certain Generating Function for Approximation
Mathematics, 2022 This paper is concerned with the sequence of positive linear operators obtained by certain generating functions of polynomials and with investigation of its approximation properties in detail.
Serhan Varma, Sezgin Sucu
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On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators
Journal of Inequalities and Applications, 2016 Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Mohammad Mursaleen +2 more
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A Korovkin theorem in multivariate modular function spaces
Journal of Function Spaces and Applications, 2009 In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.
Carlo Bardaro, Ilaria Mantellini
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Local and global results for modified Sz\'{a}sz - Mirakjan operators
, 2016 In this paper, we study a natural modification of Sz\'{a}sz - Mirakjan operators. It is shown by discussing many important established results for Sz\'{a}sz - Mirakjan operators.
null null +2 more
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A Dunkl Analogue of Operators Including Two-variable Hermite polynomials
, 2017 The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia +2 more
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Non-commutative peaking phenomena and a local version of the hyperrigidity conjecture
, 2018 We investigate various notions of peaking behaviour for states on a $\mathrm{C}^*$-algebra, where the peaking occurs within an operator system. We pay particularly close attention to the existence of sequences of elements forming an approximation of the ...
Clouâtre, Raphaël
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Bézier Form of Quantum λ‐Bernstein–Schurer Operators With Associated Approximation Properties
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce a Bézier form of Schurer‐type modification of the quantum λ‐Bernstein operators, extending the classical Schurer operators through the Bézier basis with shape parameter −1 ≤ λ ≤ 1. By applying Korovkin’s theorem, we obtain both global and local approximation results.
Jabr Aljedani +3 more
wiley +1 more source