Some new fractional integral inequalities for \(s\)-convex functions


Authors

Dunya Karapinar - Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon 61080, Turkey. Sercan Turhan - Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun 28200, Turkey. Mehmet Kunt - Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon 61080, Turkey. Imdat Iscan - Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun 28200, Turkey.


Abstract

In this paper, a similar equality which is given in [C. Yildiz, M. E.Ozdemir, M. Z. Sarikaya, Kyungpook Math. J., \({\bf 56}\) (2016), 161--172] is proved by using different symbols and impressions. By using this equality, some new fractional integral inequalities for \(s\)-convex functions are obtained. Also, some applications to special means of positive real numbers are given. If the \(\alpha=1\) is taken, our results coincide with the results given in [E. Set, M. E. Ozdemir, M. Z. Sarikaya, Facta Unv. Ser. Math. Inform., \({\bf 27}\) (2012), 67--82]\) so our results are more general from the results given there.


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ISRP Style

Dunya Karapinar, Sercan Turhan, Mehmet Kunt, Imdat Iscan, Some new fractional integral inequalities for \(s\)-convex functions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4552--4563

AMA Style

Karapinar Dunya, Turhan Sercan, Kunt Mehmet, Iscan Imdat, Some new fractional integral inequalities for \(s\)-convex functions. J. Nonlinear Sci. Appl. (2017); 10(9):4552--4563

Chicago/Turabian Style

Karapinar, Dunya, Turhan, Sercan, Kunt, Mehmet, Iscan, Imdat. "Some new fractional integral inequalities for \(s\)-convex functions." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4552--4563


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