On generalizations of integral inequalities

Napoles, J.; Rabossi, F.

Publication:
On generalizations of integral inequalities

dc.contributor.author	Napoles, J.
dc.contributor.author	Rabossi, F.
dc.contributor.buuauthor	Bayraktar, Bahtiyar
dc.contributor.buuauthor	BAYRAKTAR, BAHTİYAR
dc.contributor.department	Bursa Uludağ Üniversitesi/Eğitim Fakültesi.
dc.contributor.orcid	0000-0001-7594-8291
dc.contributor.researcherid	ABI-7823-2020
dc.date.accessioned	2024-09-17T05:35:01Z
dc.date.available	2024-09-17T05:35:01Z
dc.date.issued	2022-01-01
dc.description.abstract	In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequali-ties.
dc.identifier.doi	10.15393/j3.art.2022.11190
dc.identifier.endpage	23
dc.identifier.issn	2306-3424
dc.identifier.issue	2
dc.identifier.startpage	3
dc.identifier.uri	https://doi.org/10.15393/j3.art.2022.11190
dc.identifier.uri	https://hdl.handle.net/11452/44805
dc.identifier.volume	11
dc.identifier.wos	000890567800001
dc.indexed.wos	WOS.ESCI
dc.language.iso	en
dc.publisher	Petrozavodsk State Univ
dc.relation.journal	Problemy Analiza-issues Of Analysis
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Hermite-hadamard type
dc.subject	S-convex
dc.subject	Differentiable mappings
dc.subject	Simpsons type
dc.subject	Real numbers
dc.subject	Derivatives
dc.subject	Convex function
dc.subject	Hermite-hadamard inequality
dc.subject	Simp-son-type inequality
dc.subject	Lipschitz conditions
dc.subject	Lagrange theorem
dc.subject	Rie-mann-liouville fractional integral
dc.subject	Science & technology
dc.subject	Physical sciences
dc.subject	Mathematics
dc.subject	Mathematics
dc.title	On generalizations of integral inequalities
dc.type	Article
dspace.entity.type	Publication
relation.isAuthorOfPublication	4d1a94ce-504e-499e-91e8-689abbf37041
relation.isAuthorOfPublication.latestForDiscovery	4d1a94ce-504e-499e-91e8-689abbf37041