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Title: | Several New Integral Inequalities via Caputo k-Fractional Derivative Operators |
Authors: | Butt, Saad Ihsan Ozdemir, M. Emin Umar, Muhammad Celik, Baris Ordu Üniversitesi 0000-0001-5372-7543 |
Keywords: | Convex function; eta-quasi-convex; s-convex; s-Godunova-Levin type; Caputo k-fractional integral; Hermite-Hadamard inequality; Holder inequality; weighted Holder inequality; power mean inequality |
Issue Date: | 2021 |
Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD SINGAPORE |
Citation: | Butt, SI., Ozdemir, ME., Umar, M., Celik, B. (2021). Several New Integral Inequalities via Caputo k-Fractional Derivative Operators. Asian-European Journal of Mathematics, 14(9), -.Doi:10.1142/S1793557121501503 |
Abstract: | In this paper, we establish several new integral inequalities involving Caputo k-fractional derivatives for eta-quasi-convex and s-Godunova-Levin convex. In order to obtain our results, we use some classical inequalities such as Holder's inequality and its power mean and weighted versions. |
Description: | WoS Categories : Mathematics Web of Science Index : Emerging Sources Citation Index (ESCI) Research Areas : Mathematics |
URI: | http://dx.doi.org/10.1142/S1793557121501503 https://www.webofscience.com/wos/woscc/full-record/WOS:000692043300011 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3595 |
ISBN: | 1793-5571 1793-7183 |
Appears in Collections: | Matematik |
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