On Hermite–Hadamard–Fejér-Type Inequalities for η -Convex Functions via Quantum Calculus

Nuttapong Arunrat, Kamsing Nonlaopon () and Hüseyin Budak
Additional contact information
Nuttapong Arunrat: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Kamsing Nonlaopon: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Hüseyin Budak: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey

Mathematics, 2023, vol. 11, issue 15, 1-17

Abstract: In this paper, we use q a - and q b -integrals to establish some quantum Hermite–Hadamard–Fejér-type inequalities for η -convex functions. By taking q → 1 , our results reduce to classical results on Hermite–Hadamard–Fejér-type inequalities for η -convex functions. Moreover, we give some examples for quantum Hermite–Hadamard–Fejér-type inequalities for η -convex functions. Some results presented here for η -convex functions provide extensions of others given in earlier works for convex and η -convex functions.

Keywords: Hermite–Hadamard–Fejér-type integral inequalities; ? -convex function; quantum calculus; q a -integral; q b -integral (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/15/3387/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/15/3387/ (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:11:y:2023:i:15:p:3387-:d:1209312

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 ().