Results 81 to 90 of about 439 (126)

Approximation by the new modification of Bernstein-Stancu operators

Cumhuriyet Science Journal, 2021
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

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013
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

, 2014
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

Alexandria Engineering Journal
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, Reşat Aslan, Faruk Özger, Hari Mohan Srivastava   +3 more
doaj   +1 more source

On the generalized Mellin integral operators

Demonstratio Mathematica
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 ) $A^{(2)}$

Journal of Inequalities and Applications
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]

, 2015
Atakut, Cigdem, Buyukyazici, Ibrahim, Kirci Serenbay, Sevilay   +2 more
core   +1 more source

New modification of the Post Widder operators preserving exponential functions

Arab Journal of Basic and Applied Sciences
The current article deals with a modification of the Post-Widder operators which reproduce the exponential functions both [Formula: see text] and [Formula: see text] for [Formula: see text] The central moments, uniform convergence of the operators and ...
Melek Sofyalıoğlu Aksoy
doaj   +1 more source

On Szász-Mirakyan type operators preserving polynomials

Journal of Numerical Analysis and Approximation Theory, 2017
In this paper, a modification of Szász-Mirakyan operators is studied [1] which generalizes the Szász-Mirakyan operators with the property that the linear combination \(e_2 + \alpha e_1\) of the Korovkin's test functions \(e_1\) and \(e_2\) are ...
Ovgu Gurel Yilmaz, Ali Aral, Fatma Taşdelen Yeşildal   +2 more
doaj   +2 more sources

Approximation of functions by a new class of Gamma type operators; theory and applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The study of the linear methods of approximation, which are given by sequences of positive and linear operators, studied extremely, in relation to different subjects of analysis, such as numerical analysis.
Özçelik Reyhan, Kara Emrah Evren, Usta Fuat   +2 more
doaj   +1 more source