On Fejér-type inequalities for generalized trigonometrically and hyperbolic k-convex functions

For , , and , where is an open interval of , we consider the set of functions satisfying the second-order differential inequality in . The considered set includes several classes of generalized convex functions from the literature. In particular, if and , , we obtain the class of trigonometrically -...

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Bibliographic Details

Published in:	Demonstratio mathematica Vol. 57; no. 1; pp. 171 - 215
Main Authors:	Dragomir, Silvestru Sever, Jleli, Mohamed, Samet, Bessem
Format:	Journal Article
Language:	English
Published:	De Gruyter 07.06.2024
Subjects:	26A51 26D15 34B09 characterization convex functions differential inequalities Fejér inequality generalized convexity hyperbolic hyperbolic k-convex functions trigonometrically trigonometrically k-convex functions
ISSN:	2391-4661, 2391-4661
Online Access:	Get full text
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