Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators [PDF]
Journal of Numerical Analysis and Approximation Theory, 2021 In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
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Korovkin-type theorems in weighted Lp-spaces via summation process. [PDF]
ScientificWorldJournal, 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 T, Dirik F.
europepmc +5 more sources
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
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Gama tipi operatörün (p, q)-tamsayı ikililerine dayalı yaklaşım özellikleri [PDF]
, 2022 In the literature; extensive work on the q and (p,q)-calculus has contributed greatly to describing the different generalizations of many operators involving the q and (p,q)-integers.
Karabıyık, Ümit
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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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A note on the convergence of Phillips operators by the sequence of functions via q-calculus
Demonstratio Mathematica, 2022 The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem +2 more
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Best Multiplier Approximation of Unbounded Periodic Functions in L_(p,∅_n ) (B),B=[0,2π] Using Discrete Linear Positive Operators [PDF]
, 2020 الغرض من هذا البحث ايجاد افضل تقريب لمضروب الدوال الغير مقيدة في الفضاءات االدورية باستخدام الموءثرات الخطية المتقطعة وكذلك تقدير درجة افضل تقريب مضاعف من ناحية نموذج الاستمرارية ونموذج المتوسط.The purpose of this paper is to find the best multiplier ...
AL- Saidy, Saheb +2 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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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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