BOUNDING THE CEBYSEV FUNCTIONAL FOR A FUNCTION THAT IS CONVEX IN ABSOLUTE VALUE AND APPLICATIONS

Sever S. Dragomir

DOI Number
-
First page
33
Last page
54

Abstract


Some sharp bounds for the µCebyev functional of a function that is
convex in absolute value and applications for functions of selfadjoint operators in Hilbert spaces via the spectral representation theorem are given.

Keywords


Cebysev Functional, Grüss’ inequality, µC ebyšev’s inequality, Os- trowski’s inequality, Lupa¸s’s inequality, Selfadjoint operators, Spectral Representation.

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ISSN 0352-9665 (Print)
ISSN 2406-047X (Online)