Results 11 to 20 of about 512 (113)

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

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

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

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

Approximation Theorem for New Modification of q-Bernstein Operators on (0,1)

Journal of Function Spaces, 2021
In this work, we extend the works of F. Usta and construct new modified q-Bernstein operators using the second central moment of the q-Bernstein operators defined by G. M. Phillips.
Yun-Shun Wu, Wen-Tao Cheng, Feng-Lin Chen, Yong-Hui Zhou   +3 more
doaj   +2 more sources

On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators

Journal of Function Spaces, 2020
In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type.
Edmond Aliaga, Behar Baxhaku
doaj   +2 more sources

Some Approximation Properties of the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

Journal of Mathematics
In this article, the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn (p,q-SSBBH) operators are introduced. The Korovkin-type theorem is obtained to show the approximation properties of these operators.
Gülten Torun
doaj   +2 more sources

Approximation by q-Post-Widder Operators Based on a New Parameter

Abstract and Applied Analysis
The purpose of this paper is to introduce q-Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated.
Qiu Lin
doaj   +2 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, Gülten Torun, Meliha Mercan Boyraz   +2 more
doaj   +1 more source

On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

Journal of Numerical Analysis and Approximation Theory, 2022
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal, Dharmendra Kumar, Behar Baxhaku   +2 more
doaj   +1 more source