%0 Journal Article %T Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for \(p\)-convex functions via new fractional conformable integral operators %A Mehreen, Naila %A Anwar, Matloob %J Journal of Mathematics and Computer Science %D 2019 %V 19 %N 4 %@ ISSN 2008-949X %F Mehreen2019 %X In this paper, we obtained the Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for \(p\)-convex functions via new fractional conformable integral operators. We also gave some new Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for convex functions and harmonically convex functions via new fractional conformable integral operators. %9 journal article %R 10.22436/jmcs.019.04.02 %U http://dx.doi.org/10.22436/jmcs.019.04.02 %P 230--240 %0 Journal Article %T Inequalities via harmonic convex functions: Conformable fractional calculus approach %A M. U. Awan %A M. A. Noor %A M. V. Mihai %A K. I. Noor %J J. Math. Inequal. %D 2008 %V 12 %F Awan2008 %0 Journal Article %T Extension of the Hermite-Hadamard inequality for harmonicaly convex functions via fractional integrals %A F. Chen %J Appl. Math. Comut. %D 2015 %V 268 %F Chen2015 %0 Journal Article %T Katugampola, Hermite--Hadamard and Hermite--Hadamard--Fejer type inequalities for generalizes fractional integrals %A H. Chen %A U. N. Katugampola %J J. Math. Anal. Appl. %D 2017 %V 446 %F Chen2017 %0 Journal Article %T Über die Fourierreihen, II %A L. Fejer %J Math. Naturwise. Anz Ungar. Akad. Wiss. %D 1906 %V 24 %F Fejer1906 %0 Journal Article %T Étude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann %A J. Hadamard %J J. Math. Pures Appl. %D 1893 %V 58 %F Hadamard1893 %0 Journal Article %T Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals %A I. Işcan %J arXiv %D 2014 %V 2014 %F Işcan2014 %0 Journal Article %T Hermite-Hadamard type inequalities for $p$-convex functions %A I. Işcan %J Int. J. Anal. Appl. %D 2016 %V 11 %F Işcan2016 %0 Journal Article %T Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals %A I. Işcan %A S. H. Wu %J Appl. Math. Comput. %D 2014 %V 238 %F Işcan2014 %0 Journal Article %T On a new class of fractional operators %A F. Jarad %A E. Uğurlu %A T. Abdeljawad %A D. Baleanu %J Adv. Difference Equ. %D 2017 %V 2017 %F Jarad2017 %0 Journal Article %T New approach to generalized fractional derivatives %A U. N. Katugampola %J Bull. Math. Anal. Appl. %D 2014 %V 6 %F Katugampola2014 %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 Science B. V. %C Amsterdam %F Kilbas2006 %0 Journal Article %T Hermite-Hadamard-Fejér type inequalities for $p$-convex functions %A M. Kunt %A I. Işcan %J Arab. J. Math. Sci. %D 2017 %V 23 %F Kunt2017 %0 Journal Article %T Hermite-Hadamard-Fejér type inequalities for $p$-convex functions via fractional integrals %A M. Kunt %A I. Işcan %J Iran. J. Sci. Technol. Trans. A Sci. %D 2018 %V 42 %F Kunt2018 %0 Book %T Fractional Integrals and Derivatives %A S. G. Samko %A A. A. Kilbas %A O. I. Marichev %D 1993 %I Gordon and Breach Science Publishers %C Yverdon %F Samko1993 %0 Journal Article %T Hermite-Hadamard's inequlities for fractional integrals and related fractional inequalitis %A M. Z. Sarikaya %A E. Set %A H. Yaldiz %A N. Başak %J Math. Comput. Modelling %D 2013 %V 57 %F Sarikaya2013 %0 Journal Article %T The Hermite--Hadamard's inequality and its extentions for conformable fractioanal integrals of any order $\alpha>0$ %A E. Set %A A. O. Akdemir %A I. Mumcu %J preprint %D 2016 %V 2016 %F Set2016 %0 Journal Article %T Hermite-Hadamard type inequalities for new fractional conformable integral operators %A E. Set %A J. Choi %A A. Gözpınar %J preprint %D 2018 %V 2018 %F Set2018 %0 Journal Article %T On Hadamard-type inequalities involving seversl kinds of convexity %A E. Set %A M. E. Özdemir %A S. S. Dragomir %J J. Inequal. Appl. %D 2010 %V 2010 %F Set2010 %0 Journal Article %T Some Hermite--Hadamard type inequalities for convex functions via conformable fractional integrals and related inequalities %A E. Set %A M. Z. Sarikaya %A A. Gözpınarc %J Creat. Math. Inform. %D 2016 %V 26 %F Set2016 %0 Journal Article %T The Hermite--Hadamard's inequality for some convex functions via fractional integrals and related results %A E. Set %A M. Z. Sarikaya %A M. E. Özdemir %A H. Yaldirm %J J. Appl. Math. Stat. Inform. %D 2014 %V 10 %F Set2014 %0 Journal Article %T Some generalizations of the convexity %A G. H. Toader %J Proc. Colloq. Approx. Optim (Cluj-Napoca, Romania) %D 1985 %V 1985 %F Toader1985