Quantum trapezium-type inequalities using generalized ϕ-convex functions

Miguel J. Vivas-Cortez; Artion Kashuri; Rozana Liko; Jorge E. Hernández

doi:10.3390/axioms9010012

Quantum trapezium-type inequalities using generalized ϕ-convex functions

Miguel J. Vivas-Cortez^*, Artion Kashuri, Rozana Liko, Jorge E. Hernández

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

22 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	12
Publicación	Axioms
Volumen	9
N.º	1
DOI	https://doi.org/10.3390/axioms9010012
Estado	Publicada - 1 mar. 2020

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© 2020 by the authors.

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Financiadores	Número del financiador
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

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10.3390/axioms9010012

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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.",

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AU - Liko, Rozana

AU - Hernández, Jorge E.

PY - 2020/3/1

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N2 - 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.

AB - 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.

KW - Generalized convexity

KW - Hermite-Hadamard inequality

KW - Quantum estimates

KW - Special functions

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Quantum trapezium-type inequalities using generalized ϕ-convex functions

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