L^{\beta}$-范数中广义双轴对称势的逼近

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2023-07-30 DOI:10.29020/nybg.ejpam.v16i3.4815

Devendra Kumar

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引用次数: 0

摘要

设$F$为关于原点的半径为$R$的开球$L^{\beta}$上$S_{R}$上的实值广义双轴对称势(GBASP)。本文得到了一组最优调和多项式逼近$F$的减量率的充要条件，使得$F$作为一个整体函数GBASP是调和连续的，并确定了它们相对于近似阶$\rho(r)$的$(p,q)$ -阶和广义$(p,q)$型。

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Approximation of Generalized Biaxisymmetric Potentials in $L^{\beta}$-norm

Let $F$ be a real valued generalized biaxisymmetric potential (GBASP) in $L^{\beta}$ on $S_{R}$, the open sphere of radius $R$ about the origin. In this paper we have obtained the necessary and sufficient conditions on the rate of decrease of a sequence of best harmonic polynomial approximates to $F$ such that $F$ is harmonically continues as an entire function GBASP and determine their $(p,q)$-order and generalized $(p,q)$-type with respect to proximate order $\rho(r)$.

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来源期刊

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156