Quantum Trapezium-Type Inequalities Using Generalized <i>ϕ</i>-Convex Functions

Abstract

In this work, a study is conducted on the Hermite−Hadamard inequality using a class of generalized convex functions that involves a generalized and parametrized class of special functions within the framework of quantum calculation. Similar results can be obtained from the results found for functions such as the hypergeometric function and the classical Mittag−Leffler function. The method used to obtain the results is classic in the study of quantum integral inequalities.

Keywords

• generalized convexity
• hermite–hadamard inequality
• quantum estimates
• special functions