Norm Convergence of Double Fejér Means on Unbounded Vilenkin Groups

G. Gát; U. Goginava

doi:10.1007/s10476-018-0402-y

Norm Convergence of Double Fejér Means on Unbounded Vilenkin Groups

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

Abstract

In this paper we study the criterions of the uniform convergence and L-convergence of double Vilenkin–Fourier series. We also prove that these results are sharp.

Original language	English
Pages (from-to)	39-62
Number of pages	24
Journal	Analysis Mathematica
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/s10476-018-0402-y
Publication status	Published - Mar 1 2019
Externally published	Yes

Keywords

convergence in norm
Fejér mean
modulus of continuity
unbounded Vilenkin group

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s10476-018-0402-y

Cite this

@article{84c7fc6c9c1a4c798d7cba7ba067d1ea,

title = "Norm Convergence of Double Fej{\'e}r Means on Unbounded Vilenkin Groups",

abstract = "In this paper we study the criterions of the uniform convergence and L-convergence of double Vilenkin–Fourier series. We also prove that these results are sharp.",

keywords = "convergence in norm, Fej{\'e}r mean, modulus of continuity, unbounded Vilenkin group",

author = "G. G{\'a}t and U. Goginava",

note = "Publisher Copyright: {\textcopyright} 2018, Akad{\'e}miai Kiad{\'o}, Budapest.",

year = "2019",

month = mar,

day = "1",

doi = "10.1007/s10476-018-0402-y",

language = "English",

volume = "45",

pages = "39--62",

journal = "Analysis Mathematica",

issn = "0133-3852",

publisher = "Akademiai Kiado ZRt.",

number = "1",

}

TY - JOUR

T1 - Norm Convergence of Double Fejér Means on Unbounded Vilenkin Groups

AU - Gát, G.

AU - Goginava, U.

PY - 2019/3/1

Y1 - 2019/3/1

N2 - In this paper we study the criterions of the uniform convergence and L-convergence of double Vilenkin–Fourier series. We also prove that these results are sharp.

AB - In this paper we study the criterions of the uniform convergence and L-convergence of double Vilenkin–Fourier series. We also prove that these results are sharp.

KW - convergence in norm

KW - Fejér mean

KW - modulus of continuity

KW - unbounded Vilenkin group

UR - http://www.scopus.com/inward/record.url?scp=85051780122&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85051780122&partnerID=8YFLogxK

U2 - 10.1007/s10476-018-0402-y

DO - 10.1007/s10476-018-0402-y

M3 - Article

AN - SCOPUS:85051780122

SN - 0133-3852

VL - 45

SP - 39

EP - 62

JO - Analysis Mathematica

JF - Analysis Mathematica

IS - 1

ER -

Norm Convergence of Double Fejér Means on Unbounded Vilenkin Groups

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this