@article{95372c34b84f41928b48c64ede309bd5,
title = "Some inequalities involving positive linear maps under certain conditions",
abstract = "We demonstrate that several well-known classical inequalities also hold for some positive linear maps on matrix algebra. It is shown that for such maps the Jensen inequality hold for all ordinary convex functions.",
keywords = "Convex function, Eigenvalues, Jensen{\textquoteright}s inequality, Schwarz{\textquoteright}s inequality, Unital positive linear maps, {\v C}eby{\v s}ev{\textquoteright}s inequality",
author = "Ravinder Kumar and Rajesh Sharma and Spitkovsky, {I. M.}",
note = "Funding Information: The authors are grateful to Prof. Rajendra Bhatia for the useful discussions and suggestions, and I.S.I. Delhi for a visit in January 2015 when this work had begun. The support of the UGC-SAP is acknowledged. The authors would like to thank the anonymous referee for many helpful and constructive suggestions to an earlier version of this paper, which results in a great improvement. Publisher Copyright: {\textcopyright} 2019, Element D.O.O. All rights reserved.",
year = "2019",
doi = "10.7153/oam-2019-13-60",
language = "English (US)",
volume = "13",
pages = "843--854",
journal = "Operators and Matrices",
issn = "1846-3886",
publisher = "Element d.o.o.",
number = "3",
}