Hermite-Hadamard type inequality for $\psi$-Riemann-Liouville fractional integrals via preinvex functions

	Hermite-Hadamard type inequality for $\psi$-Riemann-Liouville fractional integrals via preinvex functions
International Journal of Nonlinear Analysis and Applications
دوره 13، شماره 1، خرداد 2022، صفحه 3333-3345 اصل مقاله (424.34 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21475.2262
نویسندگان
Nidhi Sharma¹؛ Shashi Kant Mishra¹؛ Abdelouahed Hamdi^* ²
¹Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India
²Department of Mathematics, Statistics and Physics College of Arts and Sciences, Qatar University, P. O. Box 2713, Doha, Qatar
چکیده
The main aim of the present paper is to establish a new form of Hermite-Hadamard inequalities using left and right-sided $\psi$-Riemann-Liouville fractional integrals for preinvex functions and present two basic results of $\psi$-Riemann-Liouville fractional integral identities including the first-order derivative of a preinvex function. We derive some fractional Hermite-Hadamard inequalities with the help of these results. Further, we pointed out some applications for special means.
کلیدواژه‌ها
Invex sets؛ preinvex functions؛ Hermite-Hadamard inequalities, $\psi$-Riemann-Liouville fractional integrals, Holder's inequality
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