(p, q)-Growth of Entire Harmonic Functions in R^n in Terms of Approximation Errors

Devendra Kumar, Rifaqat Ali

Abstract

The relationship between the generalized growth parameters of an entire harmonic
function in space Rn, n ≥ 3, with the rate of its best harmonic polynomial approximation error and ratios of these errors of functions harmonic in the ball of radius R has been studied.

Keywords

Entire harmonic function, approximation errors, n-dimensional spaces,

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