Results 11 to 20 of about 2,096 (158)

Approximation Properties and q-Statistical Convergence of Stancu-Type Generalized Baskakov-Szász Operators

Journal of Function Spaces, 2022
In this article, we introduce Stancu-type modification of generalized Baskakov-Szász operators. We obtain recurrence relations to calculate moments for these new operators.
Qing-Bo Cai, Adem Kilicman, Mohammad Ayman Mursaleen   +2 more
doaj   +2 more sources

Approximation by ψ‐Baskakov‐Kantorovich Operators

Mathematical Methods in the Applied Sciences
ABSTRACTIn this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function . We compare these new ‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
openaire   +2 more sources

Better Approximation Properties by New Modified Baskakov Operators

Journal of Applied Mathematics
This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type.
Ahmed F. Jabbar, Amal K. Hassan
doaj   +2 more sources

On the (p,q)−Stancu Generalization of a Genuine Baskakov-Durrmeyer Type Operators

International Journal of Analysis and Applications, 2017
In this paper, we introduce a Stancu generalization of a genuine Baskakov-Durrmeyer type operators via (p,q)− integer. We investigate approximation properties of these operators.
İsmet Yüksel, Ülkü Dinlemez Kantar, Birol Altın   +2 more
doaj   +5 more sources

On Kantorovich modification of ( p , q ) $( p,q ) $ -Baskakov operators [PDF]

Journal of Inequalities and Applications, 2016
The concern of this paper is to introduce a Kantorovich modification of ( p , q ) $( p,q ) $ -Baskakov operators and investigate their approximation behaviors. We first define a new ( p , q ) $( p,q ) $ -integral and construct the operators.
Tuncer Acar, Ali Aral, Syed Abdul Mohiuddine   +2 more
doaj   +2 more sources

Construction of Baskakov-type operators by wavelets

Journal of Numerical Analysis and Approximation Theory, 1997
From the Introduction: ``The Baskakov operators are defined on \(C[0,\infty)\) as \[ (B_nf)(x)=\sum_{k=0}^\infty b_{n,k}(x)f(k/n), \] where \(b_{n,k}(x)={n+k-1\choose k}x^k/(1+x)^{n+k}\). We define the \(m\)-th order central moment by \(\mu_{n,m}(x)=\sum \limits_{k=0}^\infty b_{n,k}(x)\Bigl({k\over n}-x\Bigr)^m\), \(m=0,1, 2,\dots\,.\) The purpose of ...
Octavian Agratini
openalex   +4 more sources

On Baskakov operators preserving the exponential function

Journal of Numerical Analysis and Approximation Theory, 2017
In this paper, we are concerned about the King-type Baskakov operators defined by means of the preserving functions \(e_{0}\) and \(e^{2ax},\ a>0\) fixed.
Ovgu Gurel Yilmaz, Vijay Gupta, Ali Aral
doaj   +4 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

Baskakov operators and convex functions

Journal of Numerical Analysis and Approximation Theory, 1990
Not available.
Ivana Horová
doaj   +4 more sources

(p,q)-Baskakov Operators

, 2019
In the present paper, we give a new analogue of Baskakov operators and we call them (p,q)-Baskakov operators which are a generalization of q -Baskakov operators. We obtain their respective formulae for central moments. Also, we study the rate of convergence and approximation properties for these operators using the modulus of smoothness.
Nazlım Deniz Aral
openalex   +2 more sources