Results 21 to 30 of about 1,445 (159)
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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Nonlinear versions of Korovkin’s abstract theorems [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022 17 ...
Sorin G. Gal, Constantin P. Niculescu
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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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Periodic Korovkin Theorem via $P_{p}^{2}$-Statistical $\mathcal{A}$-Summation Process
Universal Journal of Mathematics and Applications, 2022 In the current research, we investigate and establish Korovkin-type approximation theorems for linear operators defined on the space of all $% 2\pi $-periodic and real valued continuous functions on $% %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R ...
Kamil Demirci +2 more
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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 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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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai +3 more
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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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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We construct a novel family of summation‐integral‐type hybrid operators in terms of shape parameter α ∈ [0,1] in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness.
Ming-Yu Chen +5 more
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