Properties of Coordinated h 1, h 2 -Convex Functions of Two Variables Related to the Hermite–Hadamard–Fejér Type Inequalities

Muhammad Amer Latif ()
Additional contact information
Muhammad Amer Latif: Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Saudi Arabia

Mathematics, 2023, vol. 11, issue 5, 1-23

Abstract: In this paper, we prove the Hermite–Hadamard–Fejér type inequalities for coordinated h 1 , h 2 -convex functions on the rectangle from the plane R 2 . Some generalizations of the Hermite–Hadamard-type inequalities of two variables are also obtained as a consequence. Some properties of two functionals which are connected with the coordinated h 1 , h 2 -convex functions are provided as well. Finally, we give applications of the acquired results to special means of positive real numbers.

Keywords: coordinated convex function; coordinated ( h 1 , h 2 )-convex function; Hermite–Hadamard–Fejér type inequalities (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/2227-7390/11/5/1201/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/5/1201/ (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:5:p:1201-:d:1084080

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 ().