Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator

Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians. In the present research, we generalize the Hermite–Hadamard-type inequalities for p,h-convex functions. Moreover, we establish some new inequa...

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Autores principales:	Dong Zhang, Muhammad Shoaib Saleem, Thongchai Botmart, M. S. Zahoor, R. Bano
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/fc26ba8c4bef4aef89f69f82724cc4ab
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spelling	oai:doaj.org-article:fc26ba8c4bef4aef89f69f82724cc4ab2021-11-29T00:56:10ZHermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator2314-888810.1155/2021/5640822https://doaj.org/article/fc26ba8c4bef4aef89f69f82724cc4ab2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5640822https://doaj.org/toc/2314-8888Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians. In the present research, we generalize the Hermite–Hadamard-type inequalities for p,h-convex functions. Moreover, we establish some new inequalities via the Caputo-Fabrizio fractional integral operator for p,h-convex functions. Finally, the applications of our main findings are also given.Dong ZhangMuhammad Shoaib SaleemThongchai BotmartM. S. ZahoorR. BanoHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Dong Zhang Muhammad Shoaib Saleem Thongchai Botmart M. S. Zahoor R. Bano Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator
description	Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians. In the present research, we generalize the Hermite–Hadamard-type inequalities for p,h-convex functions. Moreover, we establish some new inequalities via the Caputo-Fabrizio fractional integral operator for p,h-convex functions. Finally, the applications of our main findings are also given.
format	article
author	Dong Zhang Muhammad Shoaib Saleem Thongchai Botmart M. S. Zahoor R. Bano
author_facet	Dong Zhang Muhammad Shoaib Saleem Thongchai Botmart M. S. Zahoor R. Bano
author_sort	Dong Zhang
title	Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator
title_short	Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator
title_full	Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator
title_fullStr	Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator
title_full_unstemmed	Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator
title_sort	hermite–hadamard-type inequalities for generalized convex functions via the caputo-fabrizio fractional integral operator
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/fc26ba8c4bef4aef89f69f82724cc4ab
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Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator

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