Geodesic
Some new fractional integral inequalities for $s$-convex functions
Karapinar, Dunya1 ; Turhan, Sercan 2 ; Kunt, Mehmet 1 ; Iscan, Imdat 2
1 Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon 61080, Turkey
2 Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun 28200, Turkey
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 9, p. 4552-4563.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.09.01
Classification : 26A51, 26A33, 26D10
Keywords: Ostrowski type inequalities, midpoint type inequalities, Riemann-Liouville fractional integrals, s-convex functions.

Karapinar, Dunya 1 ; Turhan, Sercan  2 ; Kunt, Mehmet  1 ; Iscan, Imdat  2

1 Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon 61080, Turkey
2 Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun 28200, Turkey 
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Karapinar, Dunya; Turhan, Sercan ; Kunt, Mehmet ; Iscan, Imdat . Some new fractional integral inequalities for \(s\)-convex functions. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 9, p. 4552-4563. doi : 10.22436/jnsa.010.09.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.09.01/

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