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 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 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
doaj +1 more source
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
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Weighted Approximation by Szász–Mirakyan-Type Operators Preserving Two Exponential Functions
In this paper, we study the weighted approximation properties of a family of Szász–Mirakyan-type operators preserving two exponential functions on the unbounded interval [0,∞).
Gülsüm Ulusoy Ada, Ali Aral
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Approximation properties of modified Stancu beta operators
In this paper we give approximation theorems for modified Stancu beta operators of differentiable functions. The Stancu beta operators were examined in [8, 1, 2, 5] and other papers.
L. Rempulska, M. Skorupka
doaj +2 more sources
Approximation Properties of Baskakov-Balazs Type Operators for Functions of Two Variables [PDF]
Atakut, Cigdem +2 more
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Better Approximation of Functions by Genuine Baskakov Durrmeyer Operators
In this paper, we define a new genuine Baskakov-Durrmeyer operators.We give uniform convergence using the weighted modulus of continuity. Then westudy direct approximation of the operators in terms of the moduli of smoothness.After that a Voronovskaya ...
Gülsüm Ulusoy Ada
doaj
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
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