Results 1 to 10 of about 136 (95)
Genuine modified Bernstein–Durrmeyer operators [PDF]
Journal of Inequalities and Applications, 2018 The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre K $\mathcal{K}$-functional and corresponding modulus of smoothness, quantitative Voronovskaya ...
Syed Abdul Mohiuddine +2 more
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Pointwise approximation by a Durrmeyer variant of Bernstein-Stancu operators [PDF]
Journal of Inequalities and Applications, 2017 In the present paper, we introduce a kind of Durrmeyer variant of Bernstein-Stancu operators, and we obtain the direct and converse results of approximation by the operators.
Lvxiu Dong, Dansheng Yu
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Rate of Convergence for Ibragimov-Gadjiev-Durrmeyer Operators
Demonstratio Mathematica, 2017 The present paper deals with the rate of convergence of the general class of Durrmeyer operators, which are generalization of Ibragimov-Gadjiev operators. The special cases of the operators include somewell known operators as particular cases viz.
Tuncer Acar
exaly +3 more sources
Investigation of the Asymptotic Behavior of Generalized Baskakov-Durrmeyer-Stancu Type Operators
Cumhuriyet Science Journal, 2022 In this manuscript, we firstly find the Korovkin test functions for the Baskakov operators, secondly, we find the generalized Baskakov-Durrmeyer-Stancu type operators.
Ülkü Dinlemez Kantar +2 more
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GBS Operators of Bivariate Durrmeyer Operators on Simplex
Communications in Advanced Mathematical Sciences, 2021 We define GBS operators of Durrmeyer operators for bivariate functions on simplex and we give their approximations and rate of their approximations for B-continuous and B-differentiable functions.
Harun Çiçek +2 more
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Some convergence results for nonlinear Baskakov-Durrmeyer operators
Karpatsʹkì Matematičnì Publìkacìï, 2023 This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators $(NBD_{n})$ of the form \[ (NBD_{n})(f;x) =\int_{0}^\infty K_{n}(x,t,f(t))\,dt \] with $x\in [0,\infty)$ and $n\in\mathbb{N}$.
H.E. Altin
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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 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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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
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The quantum (or q‐) calculus is widely applied in various operators which include the q‐difference (q‐derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. In our present investigation, we introduce and study q‐differential operator associated with q‐Mittag ...
Shahid Khan +5 more
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