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Operator Popoviciu’s inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces

Operator Popoviciu’s inequality for superquadratic and convex functions of selfadjoint operators... AbstractIn this work, an operator version of Popoviciu’s inequality for positive operators on Hilbert spaces under positive linear maps for superquadratic functions is proved.Analogously, using the same technique, an operator version of Popoviciu’s inequality for convex functions is obtained.Some other related inequalities are also presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

Operator Popoviciu’s inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces

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Publisher
de Gruyter
Copyright
© 2019 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6090
eISSN
1869-6090
DOI
10.1515/apam-2018-0154
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this work, an operator version of Popoviciu’s inequality for positive operators on Hilbert spaces under positive linear maps for superquadratic functions is proved.Analogously, using the same technique, an operator version of Popoviciu’s inequality for convex functions is obtained.Some other related inequalities are also presented.

Journal

Advances in Pure and Applied Mathematicsde Gruyter

Published: Oct 1, 2019

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