Publication: Some new jensen-mercer type integral inequalities via fractional operators
Abstract
In this study, we present new variants of the Hermite-Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex. Our main results are established using the classical Jensen-Mercer inequality and its variants for (h,m)-convex modified functions proven in this paper. In addition to showing that our results support previously known results from the literature, we provide examples of their application.
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Keywords
Refinements, Convex functions, (h, m)-convex functions, Jensen-mercer inequality, Hermite-hadamard inequality, Hlder inequality, power mean inequality, Non-conformable fractional operators, Science & technology, Physical sciences, Mathematics, applied, Mathematics
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