ON NEW VERSIONS OF HERMITE{HADAMARD-TYPE INEQUALITIES BASED ON TEMPERED FRACTIONAL INTEGRALS

Hüseyin Budak, Fatih Hezenci, Tuba Tunç, Hasan Kara

Abstract


This research is on the new versions of Hermite{Hadamard type inequalities. These
inequalities established by means of convex mappings include tempered fractional integral operators. Obtaining these inequalities, well-known Holder inequality and power mean inequality are also utilized. The resulting Hermite{Hadamard type inequalities are a generalization of some of the studies on this subject, including Riemann-Liouville fractional integrals. What's more, new results are obtained through special choices.


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