An asymptotic property of integral type operators

Abstract


The aim of the paper is to study a class of summation integral type of linear positive operators.This general class includes some classical kernels like Bernstein, Baskakov,Stancu, the applications being presented in a distinct section

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Durrmeyer operator; Lebesgue space; Taylor’s expansion; Voronovskaya formula

Paper coordinates

O. Agratini, An asymptotic property of integral type operators, Mathematica, 40 (63) (1998), pp. 3-8.

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Mathematica

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google scholar link

[1] O. Agratini, On a generalized Durrmeyer operators,  Bul. St. Univ. Baia Mare, Matematică-Informatică, 12 (1996), 21-30.
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[4] Wenzhong Chen, Tian Jishan,  On approximation properties of Stancu operators of integral type, Journal of Xiamen University, 26 (1987), 3, 270-276.
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[6] J.L. Durrmeyer,  Une formule d’inversion de la transformee de Laplace: Application a la tehorie des moments,  These de 3e cycle, Faculte des Sciences de l’Universite de Paris, 1967.
[7] A. Sahai and G. Prasad,  On simultaneous approximation by modified Lupas operators,  Journal Approx. Tehory, 45 (1985), 122-128.
[8] D.D. Stancu, Approximation of functions b y menas of a new generalized Bernstein operator, Calcolo, 20 (1983), 2, 211-229.

1998

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