%0 Journal Article %T Some new fractional integral inequalities for \(s\)-convex functions %A Karapinar, Dunya %A Turhan, Sercan %A Kunt, Mehmet %A Iscan, Imdat %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 9 %@ ISSN 2008-1901 %F Karapinar2017 %X 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. %9 journal article %R 10.22436/jnsa.010.09.01 %U http://dx.doi.org/10.22436/jnsa.010.09.01 %P 4552--4563 %0 Journal Article %T Some Ostrowski’s type inequalities for convex functions with applications %A M. Alomari %A M. Darus %J RGMIA Res. Rep. Coll %D 2010 %V 2010 %F Alomari2010 %0 Journal Article %T Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense %A M. Alomari %A M. Darus %A S. S. Dragomir %A P. Cerone %J Appl. Math. Lett. %D 2010 %V 23 %F Alomari2010 %0 Journal Article %T Some inequalities of Hermite-Hadamard type for s-convex functions %A M. Alomari %A M. Darus %A U. S. Kırmacı %J Acta Math. Sci. Ser. B Engl. Ed. %D 2011 %V 31 %F Alomari2011 %0 Book %T Fractional Calculus: Models and Numerical Methods %A D. Baleanu %A K. Diethelm %A E. Scalas %A J. J. Trujillo %D 2012 %I World Scientific %C Singapore %F Baleanu2012 %0 Journal Article %T The Hadamard’s inequality for s-convex functions in the second sense %A S. S. Dragomir %A S. Fitzpatrick %J Demonstratio Math. %D 1999 %V 32 %F Dragomir1999 %0 Book %T Ostrowski type inequalities and applications in numerical integration %A S. S. Dragomir %A T. M. Rassias %D 2000 %I Springer %C Netherlands %F Dragomir2000 %0 Journal Article %T Some new Ostrowski type inequalities via fractional integrals %A G. Farid %J Int. J. Anal. Appl. %D 2017 %V 14 %F Farid2017 %0 Journal Article %T Some remarks on s-convex functions %A H. Hudzik %A L. Maligranda %J Aequationes Math. %D 1994 %V 48 %F Hudzik1994 %0 Journal Article %T Ostrowski type inequalities for harmonically s-convex functions %A İ. İşcan %J Konuralp J. Math. %D 2015 %V 3 %F İşcan 2015 %0 Journal Article %T Ostrowski type inequalities for p-convex functions %A İ. İşcan %J New trends Math. Sci. %D 2016 %V 4 %F İşcan 2016 %0 Book %T Theory and applications of fractional differential equations %A A. A. Kilbas %A H. M. Srivastava %A J. J. Trujillo %D 2006 %I Elsevier %C Amsterdam %F Kilbas2006 %0 Journal Article %T New inequalities of Ostrowski type for co-ordinated s-convex functions via fractional integrals %A M. A. Latif %A S. S. Dragomir %A A. E. Matouk %J J. Frac. Calcu. Appl. %D 2013 %V 4 %F Latif2013 %0 Journal Article %T Ostrowski type inequalities for functions whose derivatives are h-convex via fractional integrals %A M. Matloka %J J. Sci. Res. & Rep. %D 2014 %V 3 %F Matloka2014 %0 Journal Article %T Über die Absolut abweichung einer differentienbaren Funktionen von ihren Integralmittelwert %A A. Ostrowski %J Comment. Math. Hel %D 1938 %V 10 %F Ostrowski1938 %0 Journal Article %T Generalized Ostrowski type inequalities for local fractional integrals %A M. Z. Sarıkaya %A H. Budak %J Proceed. Amer. Math. Soc. %D 2017 %V 145 %F Sarıkaya2017 %0 Journal Article %T New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals %A E. Set %J Comp. Math. Appl. %D 2012 %V 63 %F Set2012 %0 Journal Article %T New inequalities of Ostrowskı’s type for s-convex functions in the second sense with applications %A E. Set %A M. E. Özdemir %A M. Z. Sarıkaya %J Facta Unv. Ser. Math. Inform. %D 2012 %V 27 %F Set2012 %0 Journal Article %T New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals %A C . Yıldız %A M. E. Özdemir %A M. Z. Sarıkaya %J Kyungpook Math. J. %D 2016 %V 56 %F Yıldız2016