Results 1 to 10 of about 553 (125)

Voronovskaja-type theorem for certain GBS operators [PDF]

Glasnik Matematicki, 2008
In this paper we will demonstrate a Voronovskaja-type theorem and approximation theorem for GBS operator associated to a linear positive ...
Agratini, Badea, Badea, Baskakov, Bernstein, Bleimann, Cheney, Favard, Meyer-König, Mirakjan, Ovidiu T. Pop, Pop, Pop, Pop, Pop, Pop, Pop, Pop, Szász, Timan, Voronovskaja   +20 more
core   +5 more sources

Approximation Properties of λ-Gamma Operators Based on q-Integers

Journal of Function Spaces, 2020
In the present paper, we will introduce λ-Gamma operators based on q-integers. First, the auxiliary results about the moments are presented, and the central moments of these operators are also estimated.
Wen-Tao Cheng, Xiao-Jun Tang
doaj   +2 more sources

Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators

Journal of Mathematics, 2021
The present study introduces generalized λ-Bernstein–Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions.
Qing-Bo Cai, Gülten Torun, Ülkü Dinlemez Kantar   +2 more
doaj   +2 more sources

The Voronovskaja theorem for Bernstein-Schurer bivariate operators

Journal of Numerical Analysis and Approximation Theory, 2004
The Voronovskaja theorem for the Bernstein-Schurer bivariate operatos is established.
Dan Bărbosu
doaj   +4 more sources

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
doaj   +4 more sources

On Stancu-Type Generalization of Modified p,q-Szász-Mirakjan-Kantorovich Operators

Journal of Function Spaces, 2021
In the present article, we construct p,q-Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ,α,β. First, the moments and central moments are estimated.
Yong-Mo Hu, Wen-Tao Cheng, Chun-Yan Gui, Wen-Hui Zhang   +3 more
doaj   +2 more sources

On a Family of Parameter-Based Bernstein Type Operators with Shape-Preserving Properties

Journal of Mathematics, 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.
Bahareh Nouri, Jamshid Saeidian
doaj   +2 more sources

Voronovskaja's theorem revisited

Journal of Mathematical Analysis and Applications, 2008
This paper considers Voronovskaja's theorem for Bernstein operator. The author describes the degree of the uniform convergence of the theorem and obtains a variant of Voronovskaja's theorem that improves some estimates obtained by Gonska, Pitual and Rasa.
exaly   +3 more sources

Multivariate Neural Network Operators: Simultaneous Approximation and Voronovskaja‐Type Theorem

Mathematical Methods in the Applied Sciences
ABSTRACTIn this paper, the simultaneous approximation and a Voronoskaja‐type theorem for the multivariate neural network operators of the Kantorovich type have been proved. In order to establish such results, a suitable multivariate Strang–Fix type condition has been assumed.
Cantarini M., Costarelli D.
openaire   +4 more sources

A note on the Voronovskaja theorem for Mellin–Fejer convolution operators

Applied Mathematics Letters, 2011
The authors make use of a Taylor formula ``in terms of Mellin derivatives and notion of logarithmic'' moment and state a Voronovskaja approximation formula for a class of Mellin-Fejér type convolution operators. Applications to specific integral operators notably, the Mellin-Gauss-Weierstrass operator have also given.
Carlo Bardaro, Ilaria Mantellini
exaly   +5 more sources