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Keywords
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Hermite-Hadamard’s
inequality, functional
inequality, convex
function, H¨older’s
inequality, power-mean
inequality.
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Abstract
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Convex sets and convex functions play a fundamental role in the
development of various fields of pure and applied mathematics.
Recently, many new generalizations of inequalities with respect
to Hermite-Hadamard have been proposed in the literature. In
this paper, some new inequalities of the Hermite-Hadamard type
for di erentiable convex functions are given. These new inequalities
are based on the second derivative functions.
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