Results 21 to 30 of about 606,824 (183)
Nonlinear operator extensions of Korovkin's theorems
Positivity, 2023 Abstract In this paper we extend Korovkin's theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function spaces. Several examples illustrating the theory are included. Date: August 29, 2023. 2000 Mathematics Subject Classification. 41A35, 41A36, 41A63.
Gal, Sorin G., Niculescu, Constantin P.
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Abstract Korovkin type theorems on modular spaces by $\mathscr{A}$-summability [PDF]
Mathematica Bohemica, 2018 Our aim is to change classical test functions of Korovkin theorem on modular spaces by using $\mathscr{A}$-summability.
Emre Taş
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Approximation properties of modified Jain-Gamma operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator.
S. Erdogan, A. Olgun
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Higher order Kantorovich-type Szász–Mirakjan operators
Journal of Inequalities and Applications, 2022 In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a
Pembe Sabancigil +2 more
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On Relaxing the Identity Operator in Korovkin Theorem via Statistical Convergence
Turkish journal of mathematics & computer science, 2023 An operator version of the Korovkin theorem has recently been obtained by D. Popa. With the motivation of this result, we have extended it by using a more powerful convergence which also includes ordinary convergence. We have also presented an example to
T. Yurdakadim, E. Tas
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Some variations of the Bohman-Korovkin theorem
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ö. G. Atlihan, H. Ince, C. Orhan
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A new type of Szász–Mirakjan operators based on q-integers
Journal of Inequalities and Applications, 2023 In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q-integers. We derive a recurrence formula and calculate the moments Φ n , q ( t m ; x ) $\Phi _{n,q}(t^{m};x)$ for m = 0 , 1 , 2 $m=0,1 ...
Pembe Sabancigil +2 more
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On a discrete Korovkin theorem
Journal of Approximation Theory, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Anastassiou
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On a Family of Parameter‐Based Bernstein Type Operators with Shape‐Preserving Properties
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri +2 more
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The Approximation of a Modified Baskakov Operator
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Because of their simple form and high quality, linear arithmetical operators, particularly linear positive operators, are very popular. The number of in‐depth studies on linear operator approximation is extensive, and the majority of the published material falls into four categories: types and structures of operators, approximation of operators, order ...
Ma Yingdian, Wang Weimeng, Naeem Jan
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