Results 1 to 10 of about 495 (122)

Approximation properties of λ-Kantorovich operators [PDF]

Journal of Inequalities and Applications, 2018
In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1] $\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered.
Ana-Maria Acu, Nesibe Manav, Daniel Florin Sofonea   +2 more
doaj   +2 more sources

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-Bernstein operators [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we introduce a new type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$, we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz ...
Qing-Bo Cai, Bo-Yong Lian, Guorong Zhou
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

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 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

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