Results 21 to 30 of about 537 (141)
APPROXIMATION BY JAIN-SCHURER OPERATORS [PDF]
, 2021 In this paper we deal with Jain-Schurer operators. We give an estimate, related to the degree of approximation, via K-functional. Also, we present a Voronovskaja-type result.
Başcanbaz-Tunca, Gülen, Çetin, Nursel
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On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces
Mathematische Nachrichten, Volume 296, Issue 2, Page 588-609, February 2023., 2023 Abstract Here, we provide a unifying treatment of the convergence of a general form of sampling‐type operators, given by the so‐called sampling Durrmeyer‐type series. The main result consists of the study of a modular convergence theorem in the general setting of Orlicz spaces Lφ(R)$L^\varphi (\mathbb {R})$.
Danilo Costarelli +2 more
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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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Approximation Properties of a New Gamma Operator
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This paper deals with a kind of modification of the classical Gamma operators defined on the semiaxis which holds fixed functions 1 and e−μx (μ > 0). We study the uniform approximation effect and the direct results. We also investigate the weighted A‐statistical convergence. Finally, the Voronovskaja type asymptotic formula is given.
Jieyu Huang +2 more
wiley +1 more source
Convergence of generalized sampling series in weighted spaces
Demonstratio Mathematica, 2022 The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces.
Acar Tuncer +5 more
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Approximation Properties of (p, q)‐Szász‐Mirakjan‐Durrmeyer Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, we introduce a new Durrmeyer‐type generalization of (p, q)‐Szász‐Mirakjan operators using the (p, q)‐gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja‐type asymptotic formula is investigated and point‐wise estimates of these operators are studied.
Zhi-Peng Lin +3 more
wiley +1 more source
Approximation by Bézier Variant of Baskakov‐Durrmeyer‐Type Hybrid Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 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. Then, weighted modulus of continuity is investigated too.
Lahsen Aharouch +3 more
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Differentiated Generalized Voronovskaja’s Theorem in Compact Disks [PDF]
Results in Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation Theorem for New Modification of q‐Bernstein Operators on (0,1)
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this work, we extend the works of F. Usta and construct new modified q‐Bernstein operators using the second central moment of the q‐Bernstein operators defined by G. M. Phillips. The moments and central moment computation formulas and their quantitative properties are discussed.
Yun-Shun Wu +4 more
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Voronovskaja's theorem for Schoenberg operator [PDF]
Mathematical Inequalities & Applications, 2012 In this paper we represent new quantitative variants of Voronovskaja’s Theorem for Schoenberg variation-diminishing spline operator. We estimate the rate of uniform convergence for f ∈C2[0,1] and generalize the results obtained earlier by Goodman, Lee, Sharma, Gonska etc.
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