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Estimates of Hermite-Hadamard Inequality for Twice Differentiable Harmonically-Convex Functions with Applications
Journal article   Peer reviewed

Estimates of Hermite-Hadamard Inequality for Twice Differentiable Harmonically-Convex Functions with Applications

Muhammad Amer Latif
The Punjab University journal of mathematics, Vol.50(1), pp.1-13
01/01/2018

Abstract

Mathematics Physical Sciences Science & Technology
By using an identity involving a twice differentiable mapping and mathematical analysis techniques, some new estimates are presented for the error bounds of vertical bar 1/k(2) - k(1) integral(k2)(k1) f(s) ds - f(k(1))+f(k(2))/2 vertical bar. We have derived some inequalities of special menas of positive real numbers as applications of the proven results.

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