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Some trapezoid type inequalities for generalized fractional integral | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 22، دوره 13، شماره 1، خرداد 2022، صفحه 289-295 اصل مقاله (354.74 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.16038.1844 | ||
| نویسندگان | ||
| Fatma Ertuğral* ؛ Mehmet Zeki Sarikaya | ||
| Department of Mathematics, Faculty of Science and Arts, D"{u}zce University, D"{u}zce, Turkey | ||
| تاریخ دریافت: 05 آبان 1397، تاریخ پذیرش: 26 خرداد 1398 | ||
| چکیده | ||
| In this paper, we have established some trapezoid type inequalities for generalized fractional integral. The results presented here would provide some fractional inequalities and Riemann-Liouville type fractional operators. | ||
| کلیدواژه‌ها | ||
| simpson type inequalities؛ convex function؛ integral inequalities | ||
| مراجع | ||
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[1] H. Budak, F. Ertu˘gral and M. Z. Sarıkaya, New Generalization of Hermite-Hadamard type ınequalities via generalized fractional integrals, Ann. Univ. Craiova-Math. Comput. Sci. Ser. 47(2) (2020) 369–386. [2] J. Hadamard, Etude sur les proprietes des fonctions entieres et en particulier d’une fonction considree par, Riemann, J. Math. Pure Appl. 58 (1893) 171–215. [3] I.I¸scan On Generalization of different type inequalities for some convex functions via fractional integrals, Appl. Anal. 93(9) (2014) 1846–18622. [4] H. Kavurmacı, M. Avcıand M.E. Ozdemir, New inequalities of hermite-hadamard type for convex functions with applications, J. Inequal. Appl. 2011 (2011) 8. [5] S. Mubeen and G. M Habibullah, k-Fractional integrals and application, Int. J. Contemp. Math. Sciences, 7 (2) (2012) 89–94. [6] M.E. Ozdemir, A.O. Akdemir and H. Kavurmacı, On the Simpson’s inequality for convex functions on the coOrdinates, Turk. J. Anal. Number Theory 2(5) (2014) 165–169. [7] J. Pecaric, F. Proschan and Y.L. Tong, Convex Functions, Partial Ordering and Statistical Applications, Academic Press, New York, 1991. [8] M.Z. Sarıkaya and F. Ertu˘gral, On the generalized Hermite-Hadamard inequalities, Ann. Univ. Craiova-Math. Comput. Sci. Ser. 47(1) (2020) 193–213. | ||
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