On a monotonic trigonometric sum

被引：14

作者：

Brown, G ^{[1
]}

Koumandos, S ^{[1
]}

机构：

[1] UNIV CYPRUS, DEPT MATH & STAT, NICOSIA, CYPRUS

来源：

MONATSHEFTE FUR MATHEMATIK | 1997年 / 123卷 / 02期

关键词：

positive trigonometric sums; Fourier series;

D O I：

10.1007/BF01305965

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By establishing a cosine analogue of a result of Askey and Steinig on a monotonic sine sum, this paper sharpens and unifies several results associated with Young's inequality for the partial sums of Sigma k(-1) cos k theta.

引用

页码：109 / 119

页数：11

共 11 条

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BROWN, G ;

WANG, KY ;

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[5] The Gibbs occurrence and the trigonometrical totals sin x+1/2 sin 2x ++1/n sin nx [J].

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[7]

MILOVANOVIC GV, 1994, TOPICS POLYNOMIALS

[8]

Rainville E., 1960, Special Functions

[9]

TOMIC M, 1958, GLAS SRPSKE AN, V232, P29

[10]

Young WH, 1913, P LOND MATH SOC, V11, P357

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