Results 41 to 50 of about 336,700 (138)
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
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POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS
Proceedings of the Karelian Research Centre of the Russian Academy of Sciences, 2015 The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a differential structure.
Yury Abakumov, Victor Banin
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A Voronovskaya-type formula for SMK operators via statistical convergence [PDF]
, 2011 Duman, Oktay/0000-0001-7779-6877;In this paper, we obtain a statistical Voronovskaya-type theorem for the Szasz-Mirakjan-Kantorovich (SMK) operators by using the notion of A-statistical convergence, where A is a non-negative regular summability ...
Duman, Oktay +3 more
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APPROXIMATION PROPERTIES OF MODIFIED BASKAKOV GAMMA OPERATORS [PDF]
, 2021 In this present paper, we study an approximation properties of modified Baskakov-Gamma operator. Using Korovkin type theorem we first give approximation properties of this operator.
Arpagus, Seda +3 more
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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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On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
Journal of Numerical Analysis and Approximation Theory, 2022 In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal +2 more
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TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: The present paper aims to investigate a class of linear positive operators by combining Szász-Jain operators and Brenke polynomials and studies their approximation properties. We also prove quantitative Voronovskaya-type results and establish Grüss-Voronovskaja-type theorem.
Purshottam Narain AGRAWAL +2 more
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Quantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operators
, 2016 Acar, Tuncer/0000-0003-0982-9459In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szasz operators defined in [19]. We consider weighted spaces of functions and the corresponding weighted modulus of continuity.
Acar, Tuncer
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Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang +4 more
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On Sequences of J. P. King‐Type Operators
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P.
Tuncer Acar +4 more
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