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A sequence of Gamma-type approximation operators

Published online by Cambridge University Press:  24 October 2008

Rita Upreti  and
J. M. C. Joshi
Rita Upreti
Affiliation:
Department of Mathematics, Kumaun University Campus, Almora, India
J. M. C. Joshi
Affiliation:
Department of Mathematics, Government P.G. College, Pithoragarh, India
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Abstract

A sequence of Gamma-type approximation operators n(f) (n = 1,2,…) (which reduce to the Gamma operators, Gn (n = 1,2,…), defined by Müller in a particular case) has been defined. Uniform convergence of n(f) towards f on fixed intervals [x1, x2] (0 ≦ x1 ≦ x2 < ∞) has been proved and a simple example has been given in support of the proof.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 1 , July 1984 , pp. 119 - 121
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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