Bounding the Čebyšev functional for a differentiable function whose derivative is h or λ-convex in absolute value and aplications

Authors

  • Silvestru Sever Dragomir Victoria University

Keywords:

Čebyšev functional, Grüss' inequality, Čebyšev's inequality, Ostrowski's inequality, Lupaş's inequality, Selfadjoint operators, Spectral representation

Abstract

Some bounds for the Čebyšev functional of a differentiable function whose derivative is h or λ-convex in absolute value and applications for functions of selfadjoint operators in Hilbert spaces via the spectral representation theorem are given.

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Published

2016-07-11

Issue

Vol. 71 No. 1 (2016)

Section

Articoli

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