A generalization of the monotonicity condition and applications

D. Yu; S. Zhou

doi:10.1007/s10474-007-5253-0

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Acta Mathematica Hungarica

Volume/Issue:: Volume 115: Issue 3

A generalization of the monotonicity condition and applications

Authors:

D. Yu

D. Yu

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S. Zhou

S. Zhou Zhejiang Sci-Tech University, Xiasha Economic Development Area Institute of Mathematics Hangzhou Zhejiang 310018 China Hangzhou Zhejiang 310018 China

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Pages:: 247–267

Online Publication Date:: 17 Feb 2007

Publication Date:: 01 May 2007

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s10474-007-5253-0

Keywords:: NBVS; trigonometric series; uniform convergence; L 1-convergence; best approximation; 42A20; 42A32

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Abstract

We introduce a new class of sequences called NBVS to generalize GBVS, essentially extending monotonicity from “one sided” to “two sided”, while some important classical results keep true.

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Acta Mathematica Hungarica

Print ISSN:: 0236-5294

Online ISSN:: 1588-2632

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Acta Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1950
Volumes per Year	3
Issues per Year	6
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0236-5294 (Print)
ISSN	1588-2632 (Online)