Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus

In this paper, we establish new [Formula: see text]-integral and [Formula: see text]-integral identities. By employing these new identities, we establish new [Formula: see text] and [Formula: see text]- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finall...

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Detalles Bibliográficos
Autores principales: Kalsoom, Humaira, Vivas-Cortez, Miguel, Latif, Muhammad Amer
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8535165/
https://www.ncbi.nlm.nih.gov/pubmed/34681962
http://dx.doi.org/10.3390/e23101238
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author Kalsoom, Humaira
Vivas-Cortez, Miguel
Latif, Muhammad Amer
author_facet Kalsoom, Humaira
Vivas-Cortez, Miguel
Latif, Muhammad Amer
author_sort Kalsoom, Humaira
collection PubMed
description In this paper, we establish new [Formula: see text]-integral and [Formula: see text]-integral identities. By employing these new identities, we establish new [Formula: see text] and [Formula: see text]- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally, some examples are given to illustrate the investigated results.
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spelling pubmed-85351652021-10-23 Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus Kalsoom, Humaira Vivas-Cortez, Miguel Latif, Muhammad Amer Entropy (Basel) Article In this paper, we establish new [Formula: see text]-integral and [Formula: see text]-integral identities. By employing these new identities, we establish new [Formula: see text] and [Formula: see text]- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally, some examples are given to illustrate the investigated results. MDPI 2021-09-22 /pmc/articles/PMC8535165/ /pubmed/34681962 http://dx.doi.org/10.3390/e23101238 Text en © 2021 by the authors. 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
Kalsoom, Humaira
Vivas-Cortez, Miguel
Latif, Muhammad Amer
Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus
title Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus
title_full Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus
title_fullStr Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus
title_full_unstemmed Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus
title_short Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus
title_sort trapezoidal-type inequalities for strongly convex and quasi-convex functions via post-quantum calculus
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8535165/
https://www.ncbi.nlm.nih.gov/pubmed/34681962
http://dx.doi.org/10.3390/e23101238
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AT vivascortezmiguel trapezoidaltypeinequalitiesforstronglyconvexandquasiconvexfunctionsviapostquantumcalculus
AT latifmuhammadamer trapezoidaltypeinequalitiesforstronglyconvexandquasiconvexfunctionsviapostquantumcalculus

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