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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Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1 [PDF]
Abstract and Applied Analysis, 2014 This paper deals with approximating properties of the newly defined q-generalization of the genuine Bernstein-Durrmeyer polynomials in the case q>1, which are no longer positive linear operators on C0,1.
Nazim I. Mahmudov
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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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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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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.
Acar Tuncer
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Recent progress on univariate and multivariate polynomial and spline quasi-interpolants [PDF]
, 2004 Polynomial and spline quasi-interpolants (QIs) are practical and effective approximation operators. Among their remarkable properties, let us cite for example: good shape properties, easy computation and evaluation (no linear system to solve), uniform ...
A.T. Diallo +43 more
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Approximation Properties of Ibragimov-Gadjiev-Durrmeyer Operators on Lp (ℝ+)
Demonstratio Mathematica, 2017 We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which offer a reconstruction of integral type operators including well known Durrmeyer operators.
Ulusoy Gülsüm, Aral Ali
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On the order of approximation by modified summation-integral-type operators based on two parameters
Demonstratio Mathematica, 2023 In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul +2 more
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