Open AccessHermite-Hadamard type inequalities for \(n\)-polynomial generalized convex functions of Raina type and some related inequalities
Author(s) -
Saad Ihsan Butt,
Muhammad Tariq,
Muhammad Nadeem
Publication year - 2021
Publication title -
engineering and applied science letters
Language(s) - English
Resource type - Journals
eISSN - 2617-9709
pISSN - 2617-9695
DOI - 10.30538/psrp-easl2021.0074
Subject(s) - hermite polynomials , mathematics , hadamard transform , type (biology) , convex function , pure mathematics , polynomial , algebraic number , regular polygon , convex analysis , class (philosophy) , convex optimization , algebra over a field , mathematical analysis , computer science , geometry , ecology , artificial intelligence , biology
In this paper, we introduce the concept of a new family of convex functions namely n-polynomial generalized convex functions of Raina type. We investigate the algebraic properties of a newly introduced idea and discuss their connections with convex functions. Furthermore, we establish the new version of Hermite–Hadamard and some refinements of Hermite-Hadamard type inequalities this class of functions. Finally, we investigate some applications to special means of real numbers. Results obtained in this paper can be viewed as a significant improvement of previously known results and also may stimulate and energize for further activities in this research area field.