Results 41 to 50 of about 8,373,569 (114)
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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Convergence of Generalized Lupaş-Durrmeyer Operators
Mathematics, 2020 The main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on μ having some properties.
Mohd Qasim +3 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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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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Approximation by q‐Post‐Widder Operators Based on a New Parameter
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
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Quantitative Estimates For Jain-Kantorovich Operators [PDF]
, 2016 By using given arbitrary sequences,property that limn 1nn 0and limn 1 n 0, we give a Kantorovichtype generalization of Jain operator based on the a Poisson disrtibition. Fristlywe give the quantitative Voronovskaya type theorem.
Deniz, Emre
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Better Approximation Properties by New Modified Baskakov Operators
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators.
Ahmed F. Jabbar +2 more
wiley +1 more source
The Voronovskaya theorem for some linear positive operators of functions of two variables
, 1996 We give the Voronovskaya theorem for some operators $L_{m,n}{i}$ of the Szasz-Mirakjan type defined for functions of two variables belonging to polynomial or exponential weighted spaces.
Rempulska, L., Skorupka, M.
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