Abstract
Starting from a positive summation integral operator we present linear combinations of these operators which under definite conditions approximate a function more closely then the above operators. Also we establish a connection between the local smoothness of local Lipschitz -\alpha\left( 0<\alpha\leq1\right) functions and the local approximating property.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Beta-function; linear positive operator; Baskakov operator; local Lipschitz function
Paper coordinates
O. Agratini, Properties concerning the Baskakov-Beta operators, in: Analysis, Functional Equations, Approximation and Convexity, Proceedings of the Conference held in honour of Professor Elena Popoviciu on the occasion of her 75th birthday, Editura Carpatica, pp. 1-7, 1999.
About this paper
Journal
Publisher Name
Editura Carpatica
DOI
Print ISSN
Online ISSN
google scholar link