On generalized strongly modified h-convex functions

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 properti...

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Veröffentlicht in:	Journal of inequalities and applications Jg. 2020; H. 1; S. 1 - 12
Hauptverfasser:	Zhao, Taiyin, Saleem, Muhammad Shoaib, Nazeer, Waqas, Bashir, Imran, Hussain, Ijaz
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Cham Springer International Publishing 15.01.2020 Springer Nature B.V SpringerOpen
Schlagworte:	Analysis Applications of Mathematics Convex analysis Fejér-type inequality h-convex function Hermite–Hadamard inequality Mathematics Mathematics and Statistics Modified h-convex function Schur-type inequality convex function Hermite–Hadamard inequality Modified Fejér-type inequality Schur-type inequality
ISSN:	1029-242X, 1025-5834, 1029-242X
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
Bibliographie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-020-2281-6