Tempered fractional versions of trapezoid and midpoint-type inequalities for twice-differentiable functions

Fatih Hezenci, Huseyin Budak

Abstract


The paper introduces a novel approach to examine Hermite--Hadamard-typeinequalities taking advantage of tempered fractional operators. Theseinequalities are proved by means of twice-differentiable convex functionsinvolving tempered fractional integral operators. ObtainedHermite--Hadamard-type inequalities are a generalization of some of thestudies on this subject, including Riemann-Liouville fractional integrals.

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