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

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 m...

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Bibliographic Details
Published in:Chaos, solitons and fractals Vol. 181; p. 114628
Main Authors: Çi̇ri̇ş, Sümeyye Ermeydan, Yildirim, Hüseyin
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.04.2024
Subjects:
Co-ordinated functions
Generalized conformable integrals
Hermite–Hadamard inequality
41A55
26D10
Co-ordinated functions
26A33
Generalized conformable integrals
Hermite–Hadamard inequality
26D15
ISSN:0960-0779, 1873-2887
Online Access:Get full text
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Summary: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.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2024.114628