Open AccessSome Integral Inequalities Involving Exponential Type Convex Functions and Applications
Author(s) -
Muhammad Tariq,
Hijaz Ahmad,
Soubhagya Kumar Sahoo,
Jamshed Nasir
Publication year - 2021
Publication title -
journal of mathematical analysis and modeling
Language(s) - English
Resource type - Journals
ISSN - 2709-5924
DOI - 10.48185/jmam.v2i3.330
Subject(s) - convex function , hadamard transform , mathematics , inequality , pure mathematics , regular polygon , hermite polynomials , exponential function , function (biology) , type (biology) , algebra over a field , mathematical analysis , geometry , ecology , evolutionary biology , biology
In this present case, we focus and explore the idea of a new family of convex function namely exponentialtype m–convex functions. To support this newly introduced idea, we elaborate some of its nice algebraicproperties. Employing this, we investigate the novel version of Hermite–Hadamard type integral inequality.Furthermore, to enhance the paper, we present several new refinements of Hermite–Hadamard (H−H) inequality.Further, in the manner of this newly introduced idea, we investigate some applications of specialmeans. These new results yield us some generalizations of the prior results in the literature. We believe, themethodology investigated in this paper will further inspire intrigued researchers.