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 2020-01, Vol.2020 (1), p.1-12, Article 11
Hauptverfasser:	Zhao, Taiyin, Saleem, Muhammad Shoaib, Nazeer, Waqas, Bashir, Imran, Hussain, Ijaz
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Convex analysis Fejér-type inequality h-convex function Hermite–Hadamard inequality Mathematics Mathematics and Statistics Mathematics, Applied Modified h-convex function Physical Sciences Schur-type inequality Science & Technology
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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.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-020-2281-6