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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 | ||
| تاریخ دریافت: 08 مهر 1399، تاریخ بازنگری: 23 شهریور 1400، تاریخ پذیرش: 28 شهریور 1400 | ||
| 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 | ||
| مراجع | ||
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