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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Vydáno v:	Chaos, solitons and fractals Ročník 181; s. 114628
Hlavní autoři:	Çi̇ri̇ş, Sümeyye Ermeydan, Yildirim, Hüseyin
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Ltd 01.04.2024
Témata:	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
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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