Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces

In Musilak-Orlicz type spaces S-M, direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli of smoothness. The question of the exact constants in Jackson-type inequalities is studied.

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Publication Name
(dc.title)		Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces
Author/s
(dc.contributor.yazarlar)		Fahreddin Abdullayev, Stanislav Chaichenko, Andrii Shidlich
Publication type
(dc.type)		Makale
Language
(dc.language)		İngilizce
Publication year
(dc.date.issued)		2021
National/International
(dc.identifier.ulusaluluslararasi)		Uluslararası
Source
(dc.relation.journal)		Mathematical Inequalities & Applications
Number
(dc.identifier.issue)		2
Volume/Issue
(dc.identifier.volume)		24
Page
(dc.identifier.startpage)		323-336
ISSN/ISBN
(dc.identifier.issn)		ISSN: 1331-4343; Online ISSN: 1848-9966
Publisher
(dc.publisher)		Element, Croatia
Databases
(dc.contributor.veritaban)		Web of Science Core Collection
Databases
(dc.contributor.veritaban)		Ele-Math
Databases
(dc.contributor.veritaban)		Scopus
Index Type
(dc.identifier.index)		SCI Expanded
Index Type
(dc.identifier.index)		Scopus
Impact Factor
(dc.identifier.etkifaktoru)		1,25 / 2020-WOS / 5 Year: 1,055
Abstract
(dc.description.abstract)		In Musilak-Orlicz type spaces S-M, direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli of smoothness. The question of the exact constants in Jackson-type inequalities is studied.
URL
(dc.rights)		http://mia.ele-math.com/24-23/Direct-and-inverse-approximation-theorems-of-functions-in-the-Musielak-Orlicz-type-spaces
DOI
(dc.identifier.doi)		10.7153/mia-2021-24-23
Faculty / Institute
(dc.identifier.fakulte)		Fen Fakültesi
Department
(dc.identifier.bolum)		Uygulamalı Matematik ve Enformatik Bölümü
Author(s) in the Institution
(dc.contributor.author)		Fahreddin ABDULLAYEV
Kayıt No
(dc.identifier.kayitno)		BL0A8BD15A
Record Add Date
(dc.date.available)		2021-06-01
Notes (Publication year)
(dc.identifier.notyayinyili)		April 2021
Wos No
(dc.identifier.wos)		WOS:000648797300003
Subject Headings
(dc.subject)		direct approximation theorem
Subject Headings
(dc.subject)		inverse approximation theorem
Subject Headings
(dc.subject)		generalized modulus of smoothness
Subject Headings
(dc.subject)		best approximation
Subject Headings
(dc.subject)		musilak-orlicz type spaces
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