Hermite–Hadamard inequalities for generalized σ−conformable integrals generated by co-ordinated functions

Sümeyye Ermeydan Çi̇ri̇ş and Hüseyin Yildirim

Chaos, Solitons & Fractals, 2024, vol. 181, issue C

Abstract: In this paper, we define generalized σ− conformable fractional integrals on co-ordinated functions and generalized σ−conformable fractional integrals for the functions of two variables. Furthermore, we obtain a new Hermite–Hadamard inequality by using the generalized Riemann–Liouville integrals by means of the generalized σ− conformable integral definition. Moreover, we demonstrate some consequences by utilizing Hermite–Hadamard inequality and by utilizing definitions which we define in the study. Additionally, we state and prove some inequalities.

Keywords: Co-ordinated functions; Generalized conformable integrals; Hermite–Hadamard inequality (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924001796

DOI: 10.1016/j.chaos.2024.114628

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