Open AccessHermite-Hadamard Type Inequalities with Applications
Author(s) -
Muhammad Adil Khan,
Taj Ali,
Tahir Ullah Khan
Publication year - 2017
Publication title -
fasciculi mathematici
Language(s) - English
Resource type - Journals
ISSN - 0044-4413
DOI - 10.1515/fascmath-2017-0017
Subject(s) - hadamard transform , hermite polynomials , mathematics , convex function , identity (music) , divergence (linguistics) , type (biology) , function (biology) , regular polygon , pure mathematics , inequality , discrete mathematics , mathematical analysis , geometry , physics , ecology , linguistics , philosophy , evolutionary biology , acoustics , biology
In this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function f such that |f″| q is 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.