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-statistical approximation of generalized Szász–Mirakjan–Beta operators

Authors :
Özarslan, Mehmet Ali
Aktuğlu, Hüseyin
Source :
Applied Mathematics Letters. Nov2011, Vol. 24 Issue 11, p1785-1790. 6p.
Publication Year :
2011

Abstract

Abstract: In this paper we prove a Korovkin type approximation theorem and obtain the rate of convergence of the generalized Szász–Mirakjan–Beta operators by means of modulus of continuity and elements of Lipschitz class. Furthermore we give the -statistical approximation theorem for these operators and investigate the case which provides the best estimation. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08939659
Volume :
24
Issue :
11
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
61920409
Full Text :
https://doi.org/10.1016/j.aml.2011.04.032