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Inequalities Involving Superquadratic Functions and Operators

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Abstract

By the use of some integral inequalities containing superquadratic functions, we obtain an inequality which generalizes some previous results. We also present an inequality for positive linear mappings of operators on Hilbert spaces. Some applications and examples are given as well.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339, 94531, Bojnord, Iran

    Mohsen Kian

  2. Mathematics, School of Engineering and Science, Victoria University, P.O. Box 14428, Melbourne City, 8001, Australia

    S. S. Dragomir

Authors
  1. Mohsen Kian
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  2. S. S. Dragomir
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Correspondence to Mohsen Kian.

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Kian, M., Dragomir, S.S. Inequalities Involving Superquadratic Functions and Operators. Mediterr. J. Math. 11, 1205–1214 (2014). https://doi.org/10.1007/s00009-013-0357-y

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  • DOI: https://doi.org/10.1007/s00009-013-0357-y

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