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INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 6, Issue 3, July 2017

Pages: 97-105
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ERROR ESTIMATION FORMULA FOR

MODIFIED BETA OPERATORS

Author: Manoj Kumar

Category: Engineering, Science and Mathematics

Abstract:

 In the recent years several researchers proposed and studied beta operators in approximation theory. In the present paper, we establish an error estimation formula for modified beta operators in linear simultaneous approximation. To prove our result, we have used the technique of linear approximating method, namely, Steklov mean .

Keywords: Simultaneous approximation, Linear combinations, Linear positive operators, Steklov mean, Integral modulus of smoothness.