Application of the absolute Euler method to some series related to Fourier series and its conjugate series

被引：1

作者：

Ray, BK ^{[1
]}

Sahoo, AK ^{[1
]}

机构：

[1] KOLASIB COLL,DEPT MATH,KOLASIB,MIZORAM,INDIA

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1996年 / 106卷 / 01期

关键词：

absolute Euler summability; Fourier series; summability factor; local property;

D O I：

10.1007/BF02837184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the absolute Euler summability problem of some series associated with Fourier series and its conjugate series generalizing some known results in the literature. Also, it is shown that absolute Euler summability of rth derived Fourier series and rth derived conjugate series can be ensured under local conditions.

引用

页码：13 / 38

页数：26

共 50 条

[1] ON THE ABSOLUTE RIESZ SUMMABILITY OF FOURIER SERIES AND ITS CONJUGATE SERIES
PATI, T
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 76 (MAY) : 351 - 374
[2] ON ABSOLUTE CESARO SUMMABILITY OF A FOURIER SERIES AND ITS CONJUGATE SERIES
MAZHAR, SM
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1969, 1 (1P1): : 109 - &
[3] ON ABSOLUTE SUMMABILITY OF SOME SERIES RELATED TO A FOURIER SERIES
RAY, BK
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1970, 67 : 29 - &
[4] ON ABSOLUTE SUMMABILITY BY BORELS INTEGRAL METHOD OF DERIVED FOURIER SERIES AND ITS CONJUGATE SERIES
SHARMA, RM
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1967, 15 : 279 - &
[5] ON THE ABSOLUTE SUMMABILITY OF THE CONJUGATE SERIES OF A FOURIER SERIES
PATI, T
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (06) : 852 - 857
[6] ON NON-ABSOLUTE SUMMABILITY OF A FOURIER SERIES AND CONJUGATE OF A FOURIER SERIES BY A NORLUND METHOD
MOHANTY, R
RAY, BK
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1967, 63 : 407 - &
[7] Absolute Nqα-summability of the series conjugate to a Fourier series
Sahoo, AK
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1998, 108 (03): : 251 - 271
[8] ABSOLUTE SUMMABILITY FACTORS OF CONJUGATE SERIES OF FOURIER SERIES
SINGH, N
[J]. BULLETIN OF THE CALCUTTA MATHEMATICAL SOCIETY, 1969, 61 (01): : 13 - &
[9] ABSOLUTE HARMONIC SUMMABILITY OF A SERIES ASSOCIATED WITH CONJUGATE SERIES OF A FOURIER SERIES
RAY, BK
[J]. BULLETIN OF THE CALCUTTA MATHEMATICAL SOCIETY, 1970, 62 (01): : 1 - &
[10] ABSOLUTE RIESZ SUMMABILITY FACTORS FOR A FOURIER-SERIES AND ITS CONJUGATE SERIES
CHATURVEDI, MD
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1980, 11 (11): : 1469 - 1474

← 1 2 3 4 5 →