Hermite-Hadamard's inequalities for conformable fractional integrals

An International Journal of Optimization and Control: Theories & Applications

article

Mehmet Zeki Sarıkaya¹  Abdullah Akkurt²  Hüseyin Budak¹  Merve Esra Yıldırım³  Hüseyin Yıldırım² 

[1] Department of Mathematics, Faculty of Science and Arts, D¨uzce University;Department of Mathematics, Faculty of Science and Arts, University of Kahramanmara¸s S¨ut¸c¨u ˙Imam;Department of Mathematics, Faculty of Science and Arts, University of Cumhuriyet

关键词: Hölder's inequality;    fractional derivative;    factional integral;    Confromable fractional integrals;    trapezoid inequality;    midpoint inequality.;   

DOI  :  10.11121/ijocta.01.2019.00559

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier works and we show that some of our results are better than the otherresults with respect to midpoint inequalities.

【 授权许可】

CC BY