Hermite-Hadamard Type Inequalities with Applications | Zendy

Muhammad Adil Khan | Zendy; Tahir Ali | Zendy; Tahir Ullah Khan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Hermite-Hadamard Type Inequalities with Applications

Author(s) -

Muhammad Adil Khan,

Tahir 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research