On generalized strongly modified h-convex functions

Abstract We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome...

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Main Authors:	Taiyin Zhao, Muhammad Shoaib Saleem, Waqas Nazeer, Imran Bashir, Ijaz Hussain
Format:	Article
Language:	English
Published:	SpringerOpen 2020-01-01
Series:	Journal of Inequalities and Applications
Subjects:	h-convex function Modified h-convex function Schur-type inequality Hermite–Hadamard inequality Fejér-type inequality
Online Access:	https://doi.org/10.1186/s13660-020-2281-6

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spelling	doaj-f5154c0afd384256a17bdfbe73b2dc6d2021-01-17T12:03:42ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-01-012020111210.1186/s13660-020-2281-6On generalized strongly modified h-convex functionsTaiyin Zhao0Muhammad Shoaib Saleem1Waqas Nazeer2Imran Bashir3Ijaz Hussain4School of Information and Software Engineering, University of Electronic Science and Technology of ChinaDepartment of Mathematics, University of OkaraDepartment of Mathematics, Government College UniversityDepartment of Mathematics, University of OkaraDepartment of Mathematics, University of OkaraAbstract We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.https://doi.org/10.1186/s13660-020-2281-6h-convex functionModified h-convex functionSchur-type inequalityHermite–Hadamard inequalityFejér-type inequality
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Taiyin Zhao Muhammad Shoaib Saleem Waqas Nazeer Imran Bashir Ijaz Hussain
spellingShingle	Taiyin Zhao Muhammad Shoaib Saleem Waqas Nazeer Imran Bashir Ijaz Hussain On generalized strongly modified h-convex functions Journal of Inequalities and Applications h-convex function Modified h-convex function Schur-type inequality Hermite–Hadamard inequality Fejér-type inequality
author_facet	Taiyin Zhao Muhammad Shoaib Saleem Waqas Nazeer Imran Bashir Ijaz Hussain
author_sort	Taiyin Zhao
title	On generalized strongly modified h-convex functions
title_short	On generalized strongly modified h-convex functions
title_full	On generalized strongly modified h-convex functions
title_fullStr	On generalized strongly modified h-convex functions
title_full_unstemmed	On generalized strongly modified h-convex functions
title_sort	on generalized strongly modified h-convex functions
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2020-01-01
description	Abstract We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.
topic	h-convex function Modified h-convex function Schur-type inequality Hermite–Hadamard inequality Fejér-type inequality
url	https://doi.org/10.1186/s13660-020-2281-6
work_keys_str_mv	AT taiyinzhao ongeneralizedstronglymodifiedhconvexfunctions AT muhammadshoaibsaleem ongeneralizedstronglymodifiedhconvexfunctions AT waqasnazeer ongeneralizedstronglymodifiedhconvexfunctions AT imranbashir ongeneralizedstronglymodifiedhconvexfunctions AT ijazhussain ongeneralizedstronglymodifiedhconvexfunctions
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On generalized strongly modified h-convex functions

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