Some New Quantum Hermite–Hadamard Inequalities for Co-Ordinated Convex Functions

Fongchan Wannalookkhee, Kamsing Nonlaopon, Sotiris K. Ntouyas, Mehmet Zeki Sarikaya, Hüseyin Budak and Muhammad Aamir Ali
Additional contact information
Fongchan Wannalookkhee: 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
Sotiris K. Ntouyas: Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Mehmet Zeki Sarikaya: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey
Hüseyin Budak: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey
Muhammad Aamir Ali: Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China

Mathematics, 2022, vol. 10, issue 12, 1-20

Abstract: In this paper, we establish some new versions of Hermite–Hadamard type inequalities for co-ordinated convex functions via q 1 , q 2 -integrals. Since the inequalities are newly proved, we therefore consider some examples of co-ordinated convex functions and show their validity for particular choices of q 1 , q 2 ∈ ( 0 , 1 ) . We hope that the readers show their interest in these results.

Keywords: Hermite–Hadamard inequalities; convex functions; co-ordinated convex functions; quantum calculus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/12/1962/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/12/1962/ (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:10:y:2022:i:12:p:1962-:d:833199

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 ().