Some Inequalities of Jensen Type for Trigonometrically $$\rho $$ ρ -Convex Functions

Silvestru Sever Dragomir ()
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Silvestru Sever Dragomir: Victoria University, Applied Mathematics Research Group, ISILC

Chapter 9 in Convex and Variational Analysis with Applications, 2026, pp 161-175 from Springer

Abstract: Abstract In this paper we establish several Jensen type integral inequalities for trigonometrically $$\rho $$ ρ -convex functions. Some examples for power function and applications for continuous functions of self-adjoint operators on Hilbert spaces are provided as well.

Keywords: Convex functions; Trigonometrically $$\rho $$ ρ -convex functions; Jensen inequalities; Integral inequalities; Hilbert spaces; Operator inequalities; 26D15; 26D10; 26D07; 26A33; 47A63 (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-032-07860-5_9

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DOI: 10.1007/978-3-032-07860-5_9

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