SOME INEQUALITIES BETWEEN THE BEST SIMULTANEOUS APPROXIMATION AND MODULUS OF CONTINUITY IN THE WEIGHTED BERGMAN SPACE [PDF]
Ural Mathematical Journal, 2023 Some inequalities between the best simultaneous approximation of functions and their intermediate derivatives, and the modulus of continuity in a weighted Bergman space are obtained. When the weight function is \(\gamma(\rho)=\rho^\alpha,\) \(\alpha>0\),
Muqim S. Saidusainov
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The estimates of approximation by using a new type of weighted modulus of continuity [PDF]
Computers and Mathematics With Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Aral
exaly +5 more sources
Approximation by bivariate Chlodowsky type Szász–Durrmeyer operators and associated GBS operators on weighted spaces [PDF]
Journal of Inequalities and Applications, 2022 In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
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Approximation by Certain Linear Positive Operators of Two Variables [PDF]
Abstract and Applied Analysis, 2014 We introduce positive linear operators which are combined with the Chlodowsky and Szász type operators and study some approximation properties of these operators in the space of continuous functions of two variables on a compact set. The convergence rate
Afşin Kürşat Gazanfer +1 more
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Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators [PDF]
Journal of Function Spaces, 2021 We give a Bézier variant of Baskakov-Durrmeyer-type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian-Totik modulus of smoothness and also for a class of Lipschitz function.
Lahsen Aharouch +2 more
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Parametric Extension of a Certain Family of Summation-Integral Type Operators
Cumhuriyet Science Journal, 2023 In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these
İsmet Yüksel, Nadire Fulda Odabaşı
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On modulus of continuity of differentiation operator on weighted Sobolev classes [PDF]
Journal of Inequalities and Applications, 2015 In this paper we investigate the modulus of continuity of differential operator of order $k$, $k\in\mathbb{N}$, on the classes of functions defined on half-line that have positive non-increasing continuous majorants of functions and their higher derivatives.
Babenko, Vladislav F, Kovalenko, Oleg V
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Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
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Electronic Journal of Probability, 2020 31 pages and six ...
Hammond, Alan, Sarkar, Sourav
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On the Generalized Baskakov Durrmeyer Operators
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The main object of this paper is to construct Baskakov Durrmeyer type operators such that their construction depends on a function ρ. Using the weighted modulus of continuity, we show the uniform convergence of the operators. Moreover we obtain pointwise
Gülsüm Ulusoy
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