Generalized Integral Inequalities for Hermite–Hadamard-Type Inequalities via s -Convexity on Fractal Sets

Ohud Almutairi and Adem Kılıçman
Additional contact information
Ohud Almutairi: Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia
Adem Kılıçman: Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, Serdang 43400, Malaysia

Mathematics, 2019, vol. 7, issue 11, 1-16

Abstract: In this article, we establish new Hermite–Hadamard-type inequalities via Riemann–Liouville integrals of a function ψ taking its value in a fractal subset of R and possessing an appropriate generalized s -convexity property. It is shown that these fractal inequalities give rise to a generalized s -convexity property of ψ . We also prove certain inequalities involving Riemann–Liouville integrals of a function ψ provided that the absolute value of the first or second order derivative of ψ possesses an appropriate fractal s -convexity property.

Keywords: s -convex function; Hermite–Hadamard inequalities; Riemann–Liouville fractional integrals; fractal space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/11/1065/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/11/1065/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:11:p:1065-:d:284221

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().