Cesáro means of N-multiple trigonometric Fourier series

Ushangi Goginava

Cesáro means of N-multiple trigonometric Fourier series

Research output: Contribution to journal › Article › peer-review

Abstract

Zhizhiashvili proved sufficient condition for the Cesáro summability by negative order of N-multiple trigonometric Fourier series in the space L^p, 1 ≤ p ≤ ∞. In this paper we show that this condition cannot be improved.

Original language	English
Article number	86
Journal	Journal of Inequalities in Pure and Applied Mathematics
Volume	7
Issue number	3
Publication status	Published - 2006
Externally published	Yes

Keywords

Cesáro means
Summability
Trigonometric system

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Cite this

@article{4baf34c648d641dfac238296106a9d58,

title = "Ces{\'a}ro means of N-multiple trigonometric Fourier series",

abstract = "Zhizhiashvili proved sufficient condition for the Ces{\'a}ro summability by negative order of N-multiple trigonometric Fourier series in the space Lp, 1 ≤ p ≤ ∞. In this paper we show that this condition cannot be improved.",

keywords = "Ces{\'a}ro means, Summability, Trigonometric system",

author = "Ushangi Goginava",

year = "2006",

language = "English",

volume = "7",

journal = "Journal of Inequalities in Pure and Applied Mathematics",

issn = "1443-5756",

publisher = "Victoria University of Technology",

number = "3",

}

TY - JOUR

T1 - Cesáro means of N-multiple trigonometric Fourier series

AU - Goginava, Ushangi

PY - 2006

Y1 - 2006

N2 - Zhizhiashvili proved sufficient condition for the Cesáro summability by negative order of N-multiple trigonometric Fourier series in the space Lp, 1 ≤ p ≤ ∞. In this paper we show that this condition cannot be improved.

AB - Zhizhiashvili proved sufficient condition for the Cesáro summability by negative order of N-multiple trigonometric Fourier series in the space Lp, 1 ≤ p ≤ ∞. In this paper we show that this condition cannot be improved.

KW - Cesáro means

KW - Summability

KW - Trigonometric system

UR - http://www.scopus.com/inward/record.url?scp=33749428698&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33749428698&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33749428698

SN - 1443-5756

VL - 7

JO - Journal of Inequalities in Pure and Applied Mathematics

JF - Journal of Inequalities in Pure and Applied Mathematics

IS - 3

M1 - 86

ER -

Cesáro means of N-multiple trigonometric Fourier series

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this