Milne-type integral inequalities for modified ( h, m )-convex functions on fractal sets

Napoles, J. E.; Guzman, P. M.

Yayın:
Milne-type integral inequalities for modified ( h, m )-convex functions on fractal sets

dc.contributor.author	Napoles, J. E.
dc.contributor.author	Guzman, P. M.
dc.contributor.buuauthor	Bayraktar, Bahtiyar
dc.contributor.buuauthor	BAYRAKTAR, BAHTİYAR
dc.contributor.department	Matematik ve Fen Bilimleri Eğitimi Ana Bilim Dalı.
dc.contributor.department	Eğitim Fakültesi
dc.contributor.orcid	0000-0001-7594-8291
dc.contributor.researcherid	ABI-7823-2020
dc.date.accessioned	2025-02-04T05:16:07Z
dc.date.available	2025-02-04T05:16:07Z
dc.date.issued	2024-01-01
dc.description.abstract	In the article, new versions of integral inequalities of Milne type are derived for ( h, m ) -convex modified functions of the second type on fractal sets. Based on a new generalized local fractional weighted integral operator, an identity is established as the foundation for subsequently obtained inequalities. Throughout our study, we obtained certain results known in the literature, which include particular cases of our findings.
dc.identifier.doi	10.15393/j3.art.2024.15450
dc.identifier.endpage	127
dc.identifier.issn	2306-3424
dc.identifier.issue	2
dc.identifier.scopus	2-s2.0-85196528478
dc.identifier.startpage	106
dc.identifier.uri	https://doi.org/10.15393/j3.art.2024.15450
dc.identifier.uri	https://hdl.handle.net/11452/50016
dc.identifier.volume	13
dc.identifier.wos	001251682400006
dc.indexed.wos	WOS.ESCI
dc.language.iso	en
dc.publisher	Petrozavodsk State Univ
dc.relation.journal	Problemy Analiza-issues Of Analysis
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Differentiable mappings
dc.subject	Real numbers
dc.subject	Local fractional derivatives
dc.subject	Local fractional integrals
dc.subject	Fractal sets
dc.subject	Milne inequality
dc.subject	( h
dc.subject	M )-convex modified functions of second type
dc.subject	Ho<spacing diaeresis>lder inequality
dc.subject	Power mean inequality
dc.subject	Science & technology
dc.subject	Physical sciences
dc.subject	Mathematics
dc.title	Milne-type integral inequalities for modified ( h, m )-convex functions on fractal sets
dc.type	Article
dspace.entity.type	Publication
local.contributor.department	Eğitim Fakültesi/Matematik ve Fen Bilimleri Eğitimi Ana Bilim Dalı.
local.indexed.at	WOS
local.indexed.at	Scopus
relation.isAuthorOfPublication	4d1a94ce-504e-499e-91e8-689abbf37041
relation.isAuthorOfPublication.latestForDiscovery	4d1a94ce-504e-499e-91e8-689abbf37041