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Generalized Orders and Approximation Errors of Entire Harmonic Functions in R-n, n >= 3
Journal article   Peer reviewed

Generalized Orders and Approximation Errors of Entire Harmonic Functions in R-n, n >= 3

Devendra Kumar and Manisha Vijayran
International journal of mathematics and computer science, Vol.14(3), pp.563-572
01/01/2019

Abstract

Mathematics Physical Sciences Science & Technology
Coefficient characterizations of generalized order and lower order of an entire harmonic function represented by Fourier-Laplace series have been obtained in terms of ratio of harmonic polynomial approximation errors in sup norm. Similar results also have been obtained in terms of ratio of L-2 -approximation errors.

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