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On Jensen's
Additive
Inequality for
Positive Convex
Functions of
Selfadjoint
Operators in
Hilbert Spaces
S. S. Dragomir
- Mathematics,
College of
Engineering and
Science,
Victoria
University, PO
Box 14428,
Melbourne City,
MC 8001,
Australia
- School of Computer
Science and Applied
Mathematics,
University of the
Witwatersrand,
Private Bag 3,
Johannesburg 2050,
South Africa
Email
address:
sever.dragomir@vu.edu.au
Doi :
https://doi.org/10.47013/13.4.8
Cited by :
Jordan J. Math &
Stat.,
13 (4) (2020),
601 - 623
PDF
Received on:
May 1, 2019;
Accepted
on: Oct. 14,
2019
Abstract. In this
paper we obtain
some additive
refinements and
reverses of
Jensen’s
inequality for
positive
convex/concave
functions of
selfadjoint
operators in
Hilbert spaces.
Natural
applications for
power and
exponential
functions are
provided.
Keywords:
Young’s Inequality,
Convex functions,
Jensen’s inequality,
Selfadjoint
operator, Functions
of selfadjoint
operators.
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