Strong F-convexity and concavity and refinements of some classical inequalities

• Published in: Journal of inequalities and applications Vol. 2024; no. 1; p. 96
• Main Author: Perić, Jurica
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.12.2024; Springer Nature B.V
• Subjects: Analysis; Applications of Mathematics; Concavity; Convex analysis; Convexity; Inequalities; Mathematical functions; Mathematics; Mathematics and Statistics; Lah; 26A51; Young inequality; Strong concavity; concavity; Strong; Reversed Young inequality; Jensen inequality; Ribarič inequality; 26D15
• ISSN: 1025-5834; 1029-242X
• DOI: 10.1186/s13660-024-03178-2

The concept of strong F -convexity is a natural generalization of strong convexity. Although strongly concave functions are rarely mentioned and used, we show that in more effective and specific analysis this concept is very useful, and especially its generalization, namely strong F -concavity. Usin...