Results 31 to 40 of about 1,372 (158)
Differences of Positive Linear Operators on Simplices
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K‐functionals. Several applications and examples illustrate the general results.
Ana-Maria Acu +3 more
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Convergence of λ-Bernstein operators based on (p, q)-integers
Journal of Inequalities and Applications, 2020 In the present paper, we construct a new class of positive linear λ-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K-functional ...
Qing-Bo Cai, Wen-Tao Cheng
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Some theorems of Korovkin type [PDF]
Studia Mathematica, 2003 Summary: We take another approach to the well known theorem of Korovkin, in the following situation: \(X\),~\(Y\) are compact Hausdorff spaces, \(M\)~is a unital subspace of the Banach space \(C(X)\) (respectively, \(C_{{\mathbb R}}(X)\)) of all complex-valued (resp., real-valued) continuous functions on~\(X\), \(S\subset M\) a complex (resp., real ...
Hachiro, Tomoko, Okayasu, Takateru
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Summation process of Korovkin type approximation theorem [PDF]
Miskolc Mathematical Notes, 2011 [Abstract Not Available]
Karakus, Sevda, Demirci, Kamil
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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
doaj +1 more source
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
Girgin Atlihan, Özlem +2 more
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Korovkin-type Theorems for Abstract Modular Convergence [PDF]
Results in Mathematics, 2016 We give some Korovkin-type theorems on convergence and estimates of rates of approximations of nets of functions, satisfying suitable axioms, whose particular cases are filter/ideal convergence, almost convergence and triangular A-statistical convergence, where A is a non-negative summability method.
BOCCUTO, Antonio, DIMITRIOU, Xenofon
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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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