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

  • 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.
Published
2016-07-11
Section
Articoli