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Rate of approximation by a new sequence of linear positive operators

โœ Scribed by V. Gupta

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
484 KB
Volume
45
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In

the present paper, we study the rate of pointwise approximation by a new sequence of linear positive operators for functions of bounded variation.

To prove the main result, we have used some results of probability theory. In the end, we also introduce the Bezier variant of these newly introduced sequences of linear positive operators.

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In the present paper, we study a new sequence of linear positive operators. We obtain a Voronovskaja type asymptotic formula and an estimate on error in terms of higher-order modulus of continuity for the iterative combinations of the new sequence of linear positive operators. Here, we also note tha