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On the uniform convergence of interpolatory polynomials

Part of: Approximations and expansions

Published online by Cambridge University Press:  09 April 2009

J. Prasad
J. Prasad
Affiliation:
Department of MathematicsCalifornia State UniversityLos Angeles, California 90032, U.S.A.
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Abstract

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Here we consider a problem on weighted (0, 2) interpolation. We choose the interpolatory conditions in such a way that we get the polynomial of degree ≤2n−1, satisfying those conditions. Moreover we prove that the sequence of these interpolatory polynomials under certain conditions converges uniformly to a function belonging to the Zygmund class.

MSC classification

Secondary: 41A25: Rate of convergence, degree of approximation
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1979 , pp. 7 - 16
Copyright
Copyright © Australian Mathematical Society 1979

References

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