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.
| Original language | English |
|---|---|
| Article number | 12 |
| Journal | Axioms |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Mar 2020 |
Bibliographical note
Publisher Copyright:© 2020 by the authors.
Funding
Funding: This research was funded by Dirección de Investigación from Pontificia Universidad Católica del Ecuador in the research project entitled: Some inequalities using generalized convexity. This research was funded by Direcci?n de Investigaci?n from Pontificia Universidad Cat?lica del Ecuador in the research project entitled: Some inequalities using generalized convexity. Miguel J. Vivas-Cortez thanks to Direcci?n de Investigaci?n from Pontificia Universidad Cat?lica del Ecuador for the technical support given to the research project entitled: Algunas desigualdades de funciones convexas generalizadas (Some inequalities of generalized convex functions). Jorge E. Hern?ndez Hern?ndez wants to thank to the Consejo de Desarrollo Cient?fico, Human?stico y Tecnol?gico (CDCHT) from Universidad Centroccidental Lisandro Alvarado (Venezuela), also for the technical support given in the development of this article.
| Funders | Funder number |
|---|---|
| CDCHT | |
| Consejo de Desarrollo Cient?fico, Human?stico y Tecnol?gico | |
| Pontificia Universidad Católica del Ecuador | |
| Universidad Centroccidental Lisandro Alvarado | |
| Pontificia Universidad Católica del Ecuador |
Keywords
- Generalized convexity
- Hermite-Hadamard inequality
- Quantum estimates
- Special functions