Results 21 to 30 of about 85 (74)
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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Approximation Properties of New Modified Gamma Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 This paper is aimed at constructing new modified Gamma operators using the second central moment of the classic Gamma operators. And we will compute the first, second, fourth, and sixth order central moments by the moment computation formulas, and their quantitative properties are researched. Then, the global results are established in certain weighted
Yun-Shun Wu +4 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
Girgin Atlihan, Özlem +2 more
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On the Chlodowsky variant of Jakimovski-Leviatan-Paltanea Operators
, 2021 In the present paper, our purpose is to generalize the Jakimovski-Leviatan-Paltanea operators in the sense of Chlodowsky. After introducing the new operators we first obtain the moments of these operators in order to establish the convergency properties ...
Dalmanoglu, Ozge, ÖRKCÜ, MEDİHA
core +1 more source
Axioms, 2022 Here, in this article, we introduce and systematically investigate the ideas of deferred weighted statistical Riemann integrability and statistical deferred weighted Riemann summability for sequences of functions. We begin by proving an inclusion theorem that establishes a relation between these two potentially useful concepts.
Hari Mohan Srivastava +2 more
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Rate of Approximation for Modified Lupaş‐Jain‐Beta Operators
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 The main intent of this paper is to innovate a new construction of modified Lupaş‐Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ(0) = 0 and infx∈0,∞σ′x≥1. Primarily, for the sequence of operators, the convergence is discussed for functions belong to weighted spaces.
M. Qasim +5 more
wiley +1 more source
A Korovkin type theorem for weighted spaces of continuous functions [PDF]
Bulletin of the Australian Mathematical Society, 1997 We prove a Korovkin type approximation theorem for positive linear operators on weighted spaces of continuous real-valued functions on a compact Hausdorff space X. These spaces comprise a variety of subspaces of C (X) with suitable locally convex topologies and were introduced by Nachbin 1967 and Prolla 1977.
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Approximation Properties of λ‐Gamma Operators Based on q‐Integers
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In the present paper, we will introduce λ‐Gamma operators based on q‐integers. First, the auxiliary results about the moments are presented, and the central moments of these operators are also estimated. Then, we discuss some local approximation properties of these operators by means of modulus of continuity and Peetre K‐functional.
Wen-Tao Cheng +2 more
wiley +1 more source
The q‐Chlodowsky and q‐Szasz‐Durrmeyer Hybrid Operators on Weighted Spaces
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The main aim of this article is to introduce a new type of q‐Chlodowsky and q‐Szasz‐Durrmeyer hybrid operators on weighted spaces. To this end, we give approximation properties of the modified new q‐Hybrid operators. Moreover, in the weighted spaces, we examine the rate of convergence of the modified new q‐Hybrid operators by means of moduli of ...
Harun Çiçek +2 more
wiley +1 more source
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 The purpose of this article is to introduce a Kantorovich variant of Szász‐Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász‐Mirakjan‐Jakimovski‐Leviatan‐type positive linear operators. We study the global approximation in terms of uniform modulus of smoothness and calculate the local direct theorems
Md. Nasiruzzaman +2 more
wiley +1 more source