On Pompeiu Cebysev Type Inequalities for Positive Linear Maps of Selfadjoint Operators in Inner Product Spaces

Authors

DOI:

https://doi.org/10.24297/jam.v15i0.7927

Abstract

In this work, generalizations of some inequalities for continuous synchronous (h-asynchronous) functions of linear bounded selfadjoint operators under positive linear maps in Hilbert spaces are proved.

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Author Biography

Mohammad W Alomari, Irbid National University

Mohammad W. Alomari, Associate Professor of Mathematics,
Department of Mathematics,
Faculty of Science and Information Technology, Irbid National University, P.O. Box 2600, Irbid, P.C. 21110,  Jordan.

References

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Availiable at arXiv:1706.06250v2

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S.S. Dragomir, Operator inequalities of the Jensen, Cebysev and Gruss type, Springer, New

York, 2012.

T. Furuta, J. Micic, J. Pecaric and Y. Seo, Mond-Pecaric method in operator inequalities.

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J.S. Matharu and M.S. Moslehian, Gruss inequality for some types of positive linear maps,

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Published

2018-12-01

How to Cite

Alomari, M. W. (2018). On Pompeiu Cebysev Type Inequalities for Positive Linear Maps of Selfadjoint Operators in Inner Product Spaces. JOURNAL OF ADVANCES IN MATHEMATICS, 15, 8081–8092. https://doi.org/10.24297/jam.v15i0.7927

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Editorial