ON A THEOREM OF M. SATO

被引：3

作者：

Akhobadze, T. ^{[1
]}

机构：

[1] Tbilisi State Univ, Inst Math, Fac Exact & Nat Sci, GE-0128 Tbilisi, Georgia

来源：

ACTA MATHEMATICA HUNGARICA | 2011年 / 130卷 / 03期

关键词：

trigonometric system; Fourier series; Cesaro means; classes of functions H-omega boolean AND Phi; TRIGONOMETRIC FOURIER-SERIES; GENERALIZED CESARO MEANS; CONVERGENCE;

D O I：

10.1007/s10474-010-0042-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1953 Nash [7] introduced the class of functions I broken vertical bar. In this paper the behaviour of generalized CesA ro (C,alpha (n) )-means (alpha (n) a(-1,0)) of trigonometric Fourier series of the classes H (omega) a (c) I broken vertical bar in the space of continuous functions is studied. The sharpness of the results obtained is shown.

引用

页码：286 / 308

页数：23

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