Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity

By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–Hadamard–Mercer inequality for strongly convex functions. Furthermore, we also present some new Hermite‐Hadamard‐Mercer-type inequalities for differentiable functions whose derivatives in absolute value are conve...

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Autores principales:	Muhammad Adil Khan, Saeed Anwar, Sadia Khalid, Zaid Mohammed Mohammed Mahdi Sayed
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/5883d6750965440f9618d7dd6f3bab57
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spelling	oai:doaj.org-article:5883d6750965440f9618d7dd6f3bab572021-11-15T01:19:20ZInequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity1563-514710.1155/2021/5386488https://doaj.org/article/5883d6750965440f9618d7dd6f3bab572021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5386488https://doaj.org/toc/1563-5147By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–Hadamard–Mercer inequality for strongly convex functions. Furthermore, we also present some new Hermite‐Hadamard‐Mercer-type inequalities for differentiable functions whose derivatives in absolute value are convex.Muhammad Adil KhanSaeed AnwarSadia KhalidZaid Mohammed Mohammed Mahdi SayedHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Muhammad Adil Khan Saeed Anwar Sadia Khalid Zaid Mohammed Mohammed Mahdi Sayed Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity
description	By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–Hadamard–Mercer inequality for strongly convex functions. Furthermore, we also present some new Hermite‐Hadamard‐Mercer-type inequalities for differentiable functions whose derivatives in absolute value are convex.
format	article
author	Muhammad Adil Khan Saeed Anwar Sadia Khalid Zaid Mohammed Mohammed Mahdi Sayed
author_facet	Muhammad Adil Khan Saeed Anwar Sadia Khalid Zaid Mohammed Mohammed Mahdi Sayed
author_sort	Muhammad Adil Khan
title	Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity
title_short	Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity
title_full	Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity
title_fullStr	Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity
title_full_unstemmed	Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity
title_sort	inequalities of the type hermite–hadamard–jensen–mercer for strong convexity
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/5883d6750965440f9618d7dd6f3bab57
work_keys_str_mv	AT muhammadadilkhan inequalitiesofthetypehermitehadamardjensenmercerforstrongconvexity AT saeedanwar inequalitiesofthetypehermitehadamardjensenmercerforstrongconvexity AT sadiakhalid inequalitiesofthetypehermitehadamardjensenmercerforstrongconvexity AT zaidmohammedmohammedmahdisayed inequalitiesofthetypehermitehadamardjensenmercerforstrongconvexity
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Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity

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