Results 1 to 10 of about 499 (123)

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-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

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 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

A new kind of Bernstein-Schurer-Stancu-Kantorovich-type operators based on q-integers. [PDF]

J Inequal Appl, 2017
Chauhan R, Ispir N, Agrawal PN.
europepmc   +2 more sources

Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators

Journal of Numerical Analysis and Approximation Theory, 2021
In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
doaj   +7 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

Modified Bernstein–Durrmeyer Type Operators

Mathematics, 2022
We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
doaj   +1 more source

Higher order Kantorovich-type Szász–Mirakjan operators

Journal of Inequalities and Applications, 2022
In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a
Pembe Sabancigil, Mustafa Kara, Nazim I. Mahmudov   +2 more
doaj   +1 more source