ON GENERALIZATION OF WEIERSTRASS APPROXIMATION THEOREM FOR A GENERAL CLASS OF POLYNOMIALS AND GENERATING FUNCTIONS

Year 2016, Volume: 6 Issue: 1, 47 - 53, 01.06.2016

H. Kumar M. A. Pathan

Abstract

Here, in this work we present a generalization of theWeierstrass ApproximationTheorem for a general class of polynomials. Then we generalize it for two variablecontinuous function F x; t and prove that on a rectangle [a; b]  -1; 1 ; a  x b; jtj

Keywords

Weierstrass Approximation Theorem, Bernstein Approximation theorem, generalization of Weierstrass Approximation Theorem, generating functions.

References

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