Published January 1, 2015
| Version v1
Journal article
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ON APPROXIMATION PROPERTIES OF A NEW TYPE OF BERNSTEIN-DURRMEYER OPERATORS
Creators
- 1. Kirikkale Univ, Fac Sci & Arts, Dept Math, Yahsihan, Kirikkale, Turkey
- 2. Netaji Subhas Inst Technol, Sch Appl Sci, Sect 3, New Delhi 110078, India
Description
The present paper deals with a new type of Bernstein-Durrmeyer operators on mobile interval. First, we represent the operators in terms of hypergeometric series. We also establish local and global approximation results for these operators in terms of modulus of continuity. We obtain an asymptotic formula for these operators and in the last section we present better error estimation for the operators using King type approach. (C) 2015 Mathematical Institute Slovak Academy of Sciences
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