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Approximation of absolutely continuous functions by stancu beta operators.

Authors :
Zeng, X.-M.
Source :
Ukrainian Mathematical Journal. Apr2012, Vol. 63 Issue 11, p1787-1794. 8p.
Publication Year :
2012

Abstract

We obtain an exact estimate for the first-order absolute moment of Stancu Beta operators by means of the Stirling formula and integral operations. Then we use this estimate for establishing a theorem on approximation of absolutely continuous functions by Stancu Beta operators. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*APPROXIMATION theory
*CONTINUOUS functions
*BETA functions
*OPERATOR theory
*MATHEMATICAL analysis
*LINEAR algebra

Details

Language :
English
ISSN :
00415995
Volume :
63
Issue :
11
Database :
Academic Search Index
Journal :
Ukrainian Mathematical Journal
Publication Type :
Academic Journal
Accession number :
76273685
Full Text :
https://doi.org/10.1007/s11253-012-0614-4
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