Results 11 to 20 of about 63 (55)
Korovkin‐Type Theorems in Weighted Lp‐Spaces via Summation Process [PDF]
The Scientific World Journal, 2013 Korovkin‐type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted Lp spaces, 1 ≤ p < ∞ for univariate and multivariate functions, respectively.
Acar, Tuncer, Dirik, Fadime
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Statistical weighted A-summability with application to Korovkin’s type approximation theorem [PDF]
Journal of Inequalities and Applications, 2016 We introduce the notion of statistical weighted A-summability of a sequence and establish its relation with weighted A-statistical convergence. We also define weighted regular matrix and obtain necessary and sufficient conditions for the matrix A to be ...
Syed Abdul Mohiuddine
doaj +2 more sources
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, we establish a weighted Korovkin‐type approximation theorem within the framework of power series statistical convergence and provide a systematic extension of classical Korovkin theory to weighted function spaces. Furthermore, we investigate the approximation properties of the Szász–Mirakjan operators preserving exponential functions ...
Dilek Söylemez, Feras Yousef
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Korovkin type approximation theorems for weighted $$\alpha \beta $$ α β -statistical convergence [PDF]
Bulletin of Mathematical Sciences, 2015 Summary: The concept of \(\alpha \beta\)-statistical convergence was introduced and studied by \textit{H. Aktuğlu} [J. Comput. Appl. Math. 259, Part A, 174--181 (2014; Zbl 1291.41015)]. In this work, we generalize the concept of \(\alpha \beta\)-statistical convergence and introduce the concept of weighted \(\alpha \beta\)-statistical convergence of ...
KARAKAYA, Vatan, Karaisa, Ali
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Statistically and Relatively Modular Deferred-Weighted Summability and Korovkin-Type Approximation Theorems [PDF]
Symmetry, 2019 The concept of statistically deferred-weighted summability was recently studied by Srivastava et al. (Math. Methods Appl. Sci. 41 (2018), 671–683). The present work is concerned with the deferred-weighted summability mean in various aspects defined over a modular space associated with a generalized double sequence of functions.
Hari Mohan Srivastava +3 more
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Weighted approximation: Korovkin and quantitative type theorems
Modern Mathematical Methods, 2023 In the present paper, we consider Korovkin and quantitative theorems, which have been treated by various authors to date, under weighted approximation. After giving the basic definitions and some of well-known spaces, we mention the main theorems and their applications to linear positive operators, which have been specially treated by the authors ...
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Korovkin type approximation theorems in weighted spaces via power series method [PDF]
Operators and Matrices, 2018 Summary: In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin tpye approximation theorem for a sequence of positive linear operators acting from a weighted space \(C_{\rho 1}\) into a weighted space \(B_{\rho 2}\) with the use of the power series method which is ...
Taş, E. +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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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, our main purpose is to define the (p, q)‐variant of Szász‐Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function. We estimate moments and establish some direct results of the aforementioned operators. Moreover, we establish some approximation results in weighted spaces.
Abdullah Alotaibi, Tuncer Acar
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Approximation Properties of (p, q)‐Szász‐Mirakjan‐Durrmeyer Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, we introduce a new Durrmeyer‐type generalization of (p, q)‐Szász‐Mirakjan operators using the (p, q)‐gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja‐type asymptotic formula is investigated and point‐wise estimates of these operators are studied.
Zhi-Peng Lin +3 more
wiley +1 more source