Generalized matrix summability of a conjugate derived Fourier series

被引：2

作者：

Mursaleen, M. ^{[1
,2
]}

Alotaibi, Abdullah ^{[2
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[2] King Abdulaziz Univ, Operator Theory & Applicat Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

关键词：

Fourier series; conjugate Fourier series; conjugate derived Fourier series; (E; q)-summability; q)((N)over-bar; p(n))-summability; F-B-convergence;

D O I：

10.1186/s13660-017-1542-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In this paper, we propose to use a more general matrix method to obtain necessary and sufficient conditions to sum the conjugate derived Fourier series.

引用

页数：6

共 50 条

[31] ON THE [B] AND [E,Q] SUMMABILITY OF A FOURIER-SERIES, ITS CONJUGATE-SERIES AND THEIR DERIVED SERIES
CHANDRA, P
DIKSHIT, GD
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1981, 12 (11): : 1350 - 1360
[32] Trigonometric Fourier Approximation of the Conjugate Series of a Function of Generalized Lipchitz Class by Product Summability
Padhy, B. P.
Das, P. K.
Misra, M.
Samanta, P.
Misra, U. K.
COMPUTATIONAL INTELLIGENCE IN DATA MINING, VOL 1, CIDM 2015, 2016, 410 : 181 - 190
[33] ABSOLUTE SUMMABILITY FACTORS OF A FOURIER-SERIES AND SERIES CONJUGATE TO IT
SINGH, JP
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (07): : A592 - A592
[34] ON THE ABSOLUTE RIESZ SUMMABILITY OF FOURIER SERIES AND ITS CONJUGATE SERIES
PATI, T
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 76 (MAY) : 351 - 374
[35] ON UNIFORM NORLUND SUMMABILITY OF FOURIER SERIES AND ITS CONJUGATE SERIES
RAM, RD
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1968, 16 (06): : 469 - &
[36] ABSOLUTE SUMMABILITY OF CONJUGATE SERIES OF A FOURIER SERIES BY NORLUND MEANS
DIKSHIT, HP
MATHEMATISCHE ANNALEN, 1970, 184 (02) : 106 - &
[37] ON NORLUND SUMMABILITY OF DERIVED FOURIER SERIES
SHARMA, RM
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1968, 64 : 1029 - &
[38] ON SUMMABILITY OF A CLASS OF DERIVED FOURIER SERIES
GOVIL, NK
CANADIAN MATHEMATICAL BULLETIN, 1967, 10 (01): : 79 - &
[39] SUMMABILITY OF FOURIER-SERIES AND ITS CONJUGATE-SERIES
KHARE, SP
SINGH, P
UTILITAS MATHEMATICA, 1988, 33 : 217 - 224
[40] ON ABSOLUTE CESARO SUMMABILITY OF A FOURIER SERIES AND ITS CONJUGATE SERIES
MAZHAR, SM
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1969, 1 (1P1): : 109 - &

← 1 2 3 4 5 →