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

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

In this work, a study is conducted on the Hermite&#8722;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 fo...

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Bibliographic Details
Main Authors: Miguel J. Vivas-Cortez, Artion Kashuri, Rozana Liko, Jorge E. Hernández Hernández
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Axioms
Subjects:
generalized convexity
hermite–hadamard inequality
quantum estimates
special functions
Online Access:https://www.mdpi.com/2075-1680/9/1/12
Description
Summary:In this work, a study is conducted on the Hermite&#8722;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&#8722;Leffler function. The method used to obtain the results is classic in the study of quantum integral inequalities.
ISSN:2075-1680

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