ON THE BEHAVIOR NEAR THE ORIGIN OF DOUBLE SINE SERIES WITH MONOTONE COEFFICIENTS

被引：0

作者：

Krasniqi, Xhevat Z. ^{[1
]}

机构：

[1] Fac Educ, Rr Agim Ramadani, Prishtine 10000, Kosovo

来源：

MATHEMATICA BOHEMICA | 2009年 / 134卷 / 03期

关键词：

double sine series; sum of a double sine series with monotone coefficients;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain estimates of the sum of double sine series near the origin, with monotone coefficients tending to zero. In particular (if the coefficients aki satisfy certain conditions) the following order equality is proved g(x, y) similar to mna(m,n) + m/n Sigma(n-1)(i=1) la(m,1) + n/m Sigma(n-1)(k=1)ka(k,n) + 1/mn Sigma(n-1)(i=1) Sigma(m-1)(k=1) kla(k,l), where x is an element of (pi/m+1, pi/m], y is an element of (pi/n+1,pi/n] m,n = 1, 2,....

引用

页码：255 / 273

页数：19

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