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

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Some Inequalities of Jensen Type for Trigonometrically \(\rho \) -Convex Functions

  • Silvestru Sever Dragomir

摘要

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