Determination of jumps in terms of Abel-Poisson means

被引：0
|
作者：
Móricz, F
机构：
[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary
[2] Univ Paris 11, Orsay, France
来源：
ACTA MATHEMATICA HUNGARICA | 2003年 / 98卷 / 03期
关键词：
jump of a function; Fourier series; conjugate series; Abel-Poisson mean; finite Borel measure; atom;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A theorem of Ferenc Lukacs determines the jumps of a periodic, Lebesgue integrable function f at each point of discontinuity of first kind in terms of the partial sums of the conjugate series to the Fourier series of f. The aim of this note is to prove an analogous theorem in terms of the Abel-Poisson means.
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页码：259 / 262
页数：4
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