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Open AccessArticle

Quantum Trapezium-Type Inequalities Using Generalized ϕ-Convex Functions

1
Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076. Apartado, Quito 17-01-2184, Ecuador
2
Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, L. Pavaresia, Vlora 1001, Vlore, Albania
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Departamento de Técnicas Cuantitativas, Decanato de Ciencias Económicas y Empresariales, Universidad Centroccidental Lisandro Alvarado, Av. 20. esq. Av. Moran, Edf. Los Militares, Piso 2, Ofc.2, Barquisimeto 3001, Venezuela
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Axioms 2020, 9(1), 12; https://doi.org/10.3390/axioms9010012
Received: 17 November 2019 / Revised: 13 December 2019 / Accepted: 13 December 2019 / Published: 26 January 2020
(This article belongs to the Special Issue Special Functions and Their Applications)
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 generalized convexity; Hermite–Hadamard inequality; quantum estimates; special functions
MDPI and ACS Style

Vivas-Cortez, M.J.; Kashuri, A.; Liko, R.; Hernández, J.E.H. Quantum Trapezium-Type Inequalities Using Generalized ϕ-Convex Functions. Axioms 2020, 9, 12.

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