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Inequalities of the Jensen Type

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Operator Inequalities of the Jensen, Čebyšev and Grüss Type

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

Jensen’s type inequalities in their various settings ranging from discrete to continuous case play an important role in different branches of Modern Mathematics. A simple search in the MathSciNet database of the American Mathematical Society with the key words “jensen” and “inequality” in the title reveals that there are more than 300 items intimately devoted to this famous result. However, the number of papers where this inequality is applied is a lot larger and far more difficult to find. It can be a good project in itself for someone to write a monograph devoted to Jensen’s inequality in its different forms and its applications across Mathematics.

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Authors and Affiliations

  1. School of Engineering and Science, Victoria University, Melbourne, Australia, 8001

    Silvestru Sever Dragomir

  2. School of Computational and Applied Mathematics, University of the Witwatersrand, Braamfontein 2000, Johannesburg, South Africa

    Silvestru Sever Dragomir

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  1. Silvestru Sever Dragomir
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Correspondence to Silvestru Sever Dragomir .

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© 2012 Silvestru Sever Dragomir

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Dragomir, S.S. (2012). Inequalities of the Jensen Type. In: Operator Inequalities of the Jensen, Čebyšev and Grüss Type. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1521-3_2

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