Show simple item record

dc.contributor.authorMa, Li ( )
dc.contributor.authorYang, Guangzhengao ( )
dc.date.accessioned2021-08-23T19:18:29Z
dc.date.available2021-08-23T19:18:29Z
dc.date.issued2021-04-28
dc.identifier.citationMa, L., & Yang, G. (2021). Hadamard type inequalities via fractional calculus in the space of exp-convex functions and applications. Electronic Journal of Differential Equations, 2021(33), pp. 1-18.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14430
dc.description.abstractIn this article, we study basic properties of exp-convex functions and establish the corresponding Hadamard type integral inequalities along with fractional operators. A comparative analysis between the exp-convexity and classic convexity is discussed. Furthermore, several related integral identities and estimation of upper bounds of inequalities involved with fractional operators are proved. In addition, some indispensable propositions associated with special means are allocated to illustrate the usefulness of our main results. Besides, Mittag-Leffler type convex functions with weaker convexity than exp-convexity are also presented.en_US
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectExp-convexityen_US
dc.subjectHadamard type integral inequalitiesen_US
dc.subjectFractional calculusen_US
dc.subjectMittag-Leffler type convexityen_US
dc.titleHadamard type inequalities via fractional calculus in the space of exp-convex functions and applicationsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


Download

Thumbnail

This item appears in the following Collection(s)

Show simple item record