A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials
Abstract and Applied Analysis, 2012 We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen +2 more
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Generalized Neural Network Operators with Symmetrized Activations: Fractional Convergence and the Voronovskaya-Damasclin Theorem [PDF]
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Rômulo Damasclin Chaves dos Santos
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A Voronovskaya-type theorem for a certain nonlinear Bernstein operators [PDF]
, 2015 The present paper concerns with the nonlinear Bernstein operators NBnf of the form (NB(n)f)(x) = Sigma(n)(k=0) P-n,P-k (x, f (k/n)), 0
Karslı, Harun, Altın, Hüseyin Erhan
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Semi‐discrete operators in multivariate setting: Convergence properties and applications
Mathematical Methods in the Applied Sciences, Volume 46, Issue 9, Page 11058-11079, June 2023., 2023 In this paper, we study the convergence properties of certain semi‐discrete exponential‐type sampling series in a multidimensional frame. In particular, we obtain an asymptotic formula of Voronovskaya type, which gives a precise order of approximation in the space of continuous functions, and we give some particular example illustrating the theory ...
Carlo Bardaro +3 more
wiley +1 more source
On a Family of Parameter‐Based Bernstein Type Operators with Shape‐Preserving Properties
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri +2 more
wiley +1 more source
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
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Approximation properties of modified Jain-Gamma operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator.
S. Erdogan, A. Olgun
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Approximation Properties of New Modified Gamma Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 This paper is aimed at constructing new modified Gamma operators using the second central moment of the classic Gamma operators. And we will compute the first, second, fourth, and sixth order central moments by the moment computation formulas, and their quantitative properties are researched. Then, the global results are established in certain weighted
Yun-Shun Wu +4 more
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The Voronovskaya Theorem for q-Analogue of Szasz-Mirakjan Operators with Two Variables
, 2019 Hadeel O M Al-Khaled +1 more
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On saturation effect for linear shape-preserving approximation in Sobolev spaces [PDF]
, 2015 Objectives Little is known about patterns and correlates of Complementary Health Approaches (CHAs) in chronic pain populations, particularly in rural, underserved communities.
Sidorov, Sergei
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