Results 81 to 90 of about 474 (129)
On Baskakov operators preserving the exponential function
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 +2 more sources
Simultaneous approximation by operators of exponential type
There are many results on the simultaneous approximation by sequences of special positive linear operators. In the year 1978, Ismail and May as well as Volkov independently studied operators of exponential type covering the most classical approximation ...
Abel, Ulrich
core
An Inverse Approximation and Saturation Order for Kantorovich Exponential Sampling Series
In the present article, an inverse approximation result and saturation order for the Kantorovich exponential sampling series $I_{w}^{\chi}$ are established. First we obtain a relation between the generalized exponential sampling series $S_{w}^{\chi}$ and
Bajpeyi, Shivam +2 more
core
Approximation by the new modification of Bernstein-Stancu operators
The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators.
Melek Sofyalıoğlu, Kadir Kanat
doaj
Approximation by some combinations of Poisson integrals for Hermite and Laguerre expansions
The aim of this paper is the study of a rate of convergence of some combinations of Poisson integrals for Hermite and Laguerre expansions. We are able to achieve faster convergence for our modified operators over the Poisson integrals.
Grażyna Krech, Eugeniusz Wachnicki
doaj
Quadrature rules associated with Baskakov quasi-interpolants
Quadrature rules on the positive real half-line obtained by integrating the Baskakov quasi-interpolants described in \cite{MM, Sab7} are constructed and their asymptotic convergence orders are studied.
Sablonnière, Paul
core +1 more source
Approximation by a new Stancu variant of generalized (λ,μ)-Bernstein operators
The primary objective of this work is to explore various approximation properties of Stancu variant generalized (λ,μ)-Bernstein operators. Various moment estimates are analyzed, and several aspects of local direct approximation theorems are investigated.
Qing-Bo Cai +3 more
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On the generalized Mellin integral operators
In this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the mmth-order Mellin derivative of function ff, but without the derivative of the operator ...
Topuz Cem, Ozsarac Firat, Aral Ali
doaj +1 more source
A generalization of Phillips operators by using the Appell polynomials of class A ( 2 ) $A^{(2)}$
The current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A ( 2 ) $A^{(2)}$ class Appell polynomials.
Melek Sofyalıoğlu Aksoy
doaj +1 more source
Approximation Properties of Baskakov-Balazs Type Operators for Functions of Two Variables [PDF]
Atakut, Cigdem +2 more
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