descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 20 Dec 2017Publisher:Walter de Gruyter GmbHJournal:Fasciculi Mathematici, volume 59, pages 57-74 (eissn: 0044-4413,

Authors: Khan, M. Adil; Ali, Tahir; Khan, Tahir Ullah;

doi: 10.1515/fascmath-2017-0017

Hermite-Hadamard Type Inequalities with Applications

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Abstract

AbstractIn this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function f such that |f″|qis convex or concave for q ≥ 1. Second, by using these results, we present applications to f-divergence measures. At the end, we obtain some bounds for special means of real numbers and new error estimates for the trapezoidal formula.

Related Organizations

University of Peshawar
Pakistan

Keywords

convex functions, Hermite-Hadamard inequality, trapezoidal formula, Inequalities for sums, series and integrals, \(f\)-divergence, means

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