Abstract
Various integral inequalities for s-convex functions in the second sense are obtained by means of the Caputo fractional derivative and the Caputo–Fabrizio integral operator. Some generalizations of the Hermite–Hadamard type inequalities including the Caputo–Fabrizio integral operator are expressed for the functions whose derivatives are -convex. Moreover, some inequalities involving these fractional operators are stated for the product of these functions. Inequalities involving special means and the digamma function are given as applications.
Citation
Serap Kemali. Gültekin Tinaztepe. İlknur Yeşilce Işik. Sinem Sezer Evcan. "NEW INTEGRAL INEQUALITIES FOR -CONVEX FUNCTIONS OF THE SECOND SENSE VIA THE CAPUTO FRACTIONAL DERIVATIVE AND THE CAPUTO–FABRIZIO INTEGRAL OPERATOR." Rocky Mountain J. Math. 53 (4) 1177 - 1188, August 2023. https://doi.org/10.1216/rmj.2023.53.1177
Information