Results 21 to 30 of about 492,264 (157)

Parametric generalization of Baskakov operators [PDF]

Mathematical Communications, 2019
Herein we propose a non-negative real parametric generalization of the Baskakov operators and call them as $\alpha$-Baskakov operators. We show that $\alpha$-Baskakov operators can be expressed in terms of divided differences. Then, we obtain $n$th order derivative of $\alpha$-Baskakov operators in order to obtain its new representation as powers of ...
Aral, Ali, Erbay, Hasan
core   +5 more sources

Weighted approximation by generalized Baskakov operators reproducing affine functions [PDF]

Modern Mathematical Methods, 2023
Some extension of the Baskakov operators are introduced. The new operators reproduce affine functions. The rate of convergence of the associated approximation process is obtained in polynomial type weighted spaces. A Voronovskaja type result is included.
Jorge Bustamante
doaj   +1 more source

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

On certain Baskakov-Durrmeyer type operators [PDF]

Surveys in Mathematics and its Applications, 2010
This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothness.
Asha Ram Gairola
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Baskakov operators and convex functions

Journal of Numerical Analysis and Approximation Theory, 1990
Not available.
Ivana Horová
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Some convergence results for nonlinear Baskakov-Durrmeyer operators

Karpatsʹkì Matematičnì Publìkacìï, 2023
This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators $(NBD_{n})$ of the form \[ (NBD_{n})(f;x) =\int_{0}^\infty K_{n}(x,t,f(t))\,dt \] with $x\in [0,\infty)$ and $n\in\mathbb{N}$.
H.E. Altin
doaj   +1 more source

Estimates for the Differences of Certain Positive Linear Operators

Mathematics, 2020
The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, the kth order Kantorovich modification of the Baskakov operators, the ...
Ana Maria Acu, Sever Hodiş, Ioan Rașa
doaj   +1 more source

On the order of approximation by modified summation-integral-type operators based on two parameters

Demonstratio Mathematica, 2023
In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul, Singh Karunesh Kumar, Alotaibi Abdullah   +2 more
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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   +1 more source

On wavelets Kantorovich ( p , q ) $(p,q)$ -Baskakov operators and approximation properties

Journal of Inequalities and Applications, 2023
In this paper, we generalize and extend the Baskakov-Kantorovich operators by constructing the ( p , q ) $(p, q)$ -Baskakov Kantorovich operators ( ϒ n , b , p , q h ) ( x ) = [ n ] p , q ∑ b = 0 ∞ q b − 1 υ b , n p , q ( x ) ∫ R h ( y ) Ψ ( [ n ] p , q ...
Alexander E. Moreka, Santosh Kumar, M. Mursaleen   +2 more
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