Results 41 to 50 of about 137 (103)
Approximation properties of a new family of Gamma operators and their applications
Advances in Difference Equations, 2021 The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators ...
Reyhan Özçelik +3 more
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Approximation of Real Functions by a Generalization of Ismail–May Operator
Mathematics, 2022 In this paper, we generalize a sequence of positive linear operators introduced by Ismail and May and we study some of their approximation properties for different classes of continuous functions. First, we estimate the error of approximation in terms of
Adrian Holhoş
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Error Estimation for Shifted q‐Szász–Kantorovich Operators and Their Numerical Properties
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a novel class of q‐Szász–Mirakjan–Kantorovich operators defined with shifted sequences. Utilizing the basic principles of q‐calculus, we design the King‐type fundamental construction of q‐Szász–Mirakjan–Kantorovich operators and derive their moments and central moments.
Md. Nasiruzzaman +5 more
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Approximation by Genuine q‐Bernstein‐Durrmeyer Polynomials in Compact Disks in the Case q > 1
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 This paper deals with approximating properties of the newly defined q‐generalization of the genuine Bernstein‐Durrmeyer polynomials in the case q > 1, which are no longer positive linear operators on C[0,1]. Quantitative estimates of the convergence, the Voronovskaja‐type theorem, and saturation of convergence for complex genuine q‐Bernstein‐Durrmeyer ...
Nazim I. Mahmudov, Sofiya Ostrovska
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A new construction of Lupaş operators and its approximation properties
Advances in Difference Equations, 2021 The aim of this paper is to study a new generalization of Lupaş-type operators whose construction depends on a real-valued function ρ by using two sequences u m $u_{m} $ and v m $v_{m}$ of functions.
Mohd Qasim +3 more
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Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems
Filomat, 2019 We introduce the notion of ideally relative uniform convergence of sequences of real valued functions. We then apply this notion to prove Korovkin-type approximation theorem, and then construct an illustrative example by taking (p,q)-Bernstein operators which proves that our Korovkin theorem is stronger than its classical version as well as
Mohiuddine, S. A. +2 more
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Approximation by ψ‐Baskakov‐Kantorovich Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu +2 more
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Journal of Operators, Volume 2013, Issue 1, 2013., 2013 We characterize the errors of the algebraic version of trigonometric Jackson integrals Gs,n in weighted integral metric. We prove direct and strong converse theorem in terms of the weighted K‐functional.
Teodora Zapryanova, Hagen Neidhardt
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Voronovskaya‐type theorems for Urysohn type nonlinear Bernstein operators
Mathematical Methods in the Applied Sciences, 2018 The concern of this paper is to continue the investigation of convergence properties of nonlinear approximation operators, which are defined by Karsli. In details, the paper centers around Urysohn‐type nonlinear counterpart of the Bernstein operators.
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q‐Szász‐Mirakyan‐Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The present paper deals with approximation properties of q‐Szász‐Mirakyan‐Kantorovich operators. We construct new bivariate generalization by qR‐integral and these operators′ approximation properties in polynomial weighted spaces are investigated. Also, we obtain Voronovskaya‐type theorem for the proposed operators in polynomial weighted spaces of ...
Mediha Örkcü, Sergei V. Pereverzyev
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