On convergence of negative order Cesaro means of the Fourier-Walsh series in L p (p > 1) metrics

被引：4

作者：

Galoyan, L. N. ^{[1
]}

机构：

[1] Russian Armenian Slavon Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2012年 / 47卷 / 03期

关键词：

Negative order Cesaro means; unbounded divergence; slowly oscillating function; regular method of summation;

D O I：

10.3103/S1068362312030041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper investigates the convergence of the negative order Cesaro means of the Fourier series in Walsh system with monotone coefficients. It is given a description of the classes of the mentioned type series, the Cesaro means of which over all subsequences unbounded diverge on the sets of positive measure.

引用

页码：134 / 147

页数：14

共 50 条

[41] Linear transformations of R-N and problems of convergence of multiple Fourier series of functions in L-p, p >= 1
Bloshanskii, I. L.
ACTA SCIENTIARUM MATHEMATICARUM, 2009, 75 (3-4): : 575 - 603
[42] On the convergence of double Fourier series of functions in LP[0, 1]2, where p=(p1, p2)
Djumabayeva D.G.
Nursultanov E.D.
Analysis Mathematica, 2002, 28 (2) : 89 - 101
[43] On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation
Ushangi Goginava
Artur Sahakian
Acta Scientiarum Mathematicarum, 2011, 77 (3-4): : 451 - 471
[44] A rate L-p-version for the Riesz criterion of the absolute convergence of trigonometric Fourier series
Il'yasov, N. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (04): : 193 - 202
[45] ABSOLUTE CESARO SUMMABILITY OF SUCCESSIVELY DERIVED SERIES OF A FOURIER-SERIES OF FUNCTIONS OF CLASS LP(P-GREATER-THAN-1)
MOHAPATRA, RN
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1981, 12 (10): : 1250 - 1259
[46] ON A NECESSARY CONDITION FOR L-p (0 < p < 1)-CONVERGENCE (UPPER BOUNDEDNESS) OF TRIGONOMETRIC SERIES
Krasniqi, Xh Z.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2015, 7 (01) : 83 - 90
[47] On approximation of Lip (ξ (t), p) function by (C, 1) (E, 1) means of its Fourier series
Lal, S
Singh, PN
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (09): : 1443 - 1449
[48] Sharp estimates for the convergence rate of Fourier series in terms of orthogonal polynomials in L 2((a, b), p(x))
Abilov, V. A.
Abilova, F. V.
Kerimov, M. K.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2009, 49 (06) : 927 - 941
[49] Sharp estimates for the convergence rate of Fourier series of complex variable functions in L 2(D, p(z))
Abilov, V. A.
Abilova, F. V.
Kerimov, M. K.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2010, 50 (06) : 946 - 950
[50] ON WEIGHTED ABSOLUTE CONVERGENCE OF MULTIPLE FOURIER SERIES OF A FUNCTION OF (p1, ..., pN)-(Λ1, ..., ΛN)-BV
Darji, K. N.
Vyas, R. G.
ACTA MATHEMATICA HUNGARICA, 2018, 156 (02) : 361 - 374

← 1 2 3 4 5 →

On convergence of negative order Cesaro means of the Fourier-Walsh series in L p (p &gt; 1) metrics

On convergence of negative order Cesaro means of the Fourier-Walsh series in L p (p > 1) metrics