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Quantum Estimates for Different Type Intequalities through Generalized Convexity

This article estimates several integral inequalities involving [Formula: see text]-convexity via the quantum calculus, through which Important integral inequalities including Simpson-like, midpoint-like, averaged midpoint-trapezoid-like and trapezoid-like are extended. We generalized some quantum in...

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Autor principal: Almutairi, Ohud Bulayhan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9141894/
https://www.ncbi.nlm.nih.gov/pubmed/35626611
http://dx.doi.org/10.3390/e24050728
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author Almutairi, Ohud Bulayhan
author_facet Almutairi, Ohud Bulayhan
author_sort Almutairi, Ohud Bulayhan
collection PubMed
description This article estimates several integral inequalities involving [Formula: see text]-convexity via the quantum calculus, through which Important integral inequalities including Simpson-like, midpoint-like, averaged midpoint-trapezoid-like and trapezoid-like are extended. We generalized some quantum integral inequalities for q-differentiable [Formula: see text]-convexity. Our results could serve as the refinement and the unification of some classical results existing in the literature by taking the limit [Formula: see text].
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spelling pubmed-91418942022-05-28 Quantum Estimates for Different Type Intequalities through Generalized Convexity Almutairi, Ohud Bulayhan Entropy (Basel) Article This article estimates several integral inequalities involving [Formula: see text]-convexity via the quantum calculus, through which Important integral inequalities including Simpson-like, midpoint-like, averaged midpoint-trapezoid-like and trapezoid-like are extended. We generalized some quantum integral inequalities for q-differentiable [Formula: see text]-convexity. Our results could serve as the refinement and the unification of some classical results existing in the literature by taking the limit [Formula: see text]. MDPI 2022-05-20 /pmc/articles/PMC9141894/ /pubmed/35626611 http://dx.doi.org/10.3390/e24050728 Text en © 2022 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Almutairi, Ohud Bulayhan
Quantum Estimates for Different Type Intequalities through Generalized Convexity
title Quantum Estimates for Different Type Intequalities through Generalized Convexity
title_full Quantum Estimates for Different Type Intequalities through Generalized Convexity
title_fullStr Quantum Estimates for Different Type Intequalities through Generalized Convexity
title_full_unstemmed Quantum Estimates for Different Type Intequalities through Generalized Convexity
title_short Quantum Estimates for Different Type Intequalities through Generalized Convexity
title_sort quantum estimates for different type intequalities through generalized convexity
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9141894/
https://www.ncbi.nlm.nih.gov/pubmed/35626611
http://dx.doi.org/10.3390/e24050728
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