Results 21 to 30 of about 8,373,569 (114)
Approximation properties of certain modified Szasz-Mirakyan operators [PDF]
Le Matematiche, 2000 We introduce certain modified Szasz - Mirakyan operators in exponential weighted spaces of functions of one variable. We give theorems on the degree of approximation and the Voronovskaya type theorem.
Lucyna Rempulska, Zbigniew Walczak
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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
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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
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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
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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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Certain approximation properties of Brenke polynomials using Jakimovski–Leviatan operators
Journal of Inequalities and Applications, 2021 In this article, we establish the approximation by Durrmeyer type Jakimovski–Leviatan operators involving the Brenke type polynomials. The positive linear operators are constructed for the Brenke polynomials, and thus approximation properties for these ...
Shahid Ahmad Wani +2 more
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The Voronovskaya type theorem for Poisson integrals of functions of two variables [PDF]
, 2013 The aim of this paper is the study the Voronovskaya type theorem for Poisson integrals of functions of two variables for Hermite and Laguerre expansions.
Krech, Grażyna
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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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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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, 2020 In this paper we define the Ces´aro second-order summability method for fuzzy numbers and prove Korovkin type theorem, then as the application of it, we prove the rate of convergence.
LOKU, Valdete, BRAHA, Naim L.
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