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Interpolation Inequalities

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Classical and New Inequalities in Analysis

Part of the book series: Mathematics and Its Applications () ((MAEE,volume 61))

Abstract

The purpose of this Chapter is to give some results which extend known inequalities in a systematic way by interpolating the extremes. As a simple example we cite the AG inequality

$$\sum\limits_1^n {{p_i}} {a_i}\prod\limits_1^n {a_i^{{p_i}}} ,$$
(1.1)

with \(\sum\limits_1^n {{p_i}} = 1,{p_i}0,{a_i}0.\)

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References

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Author information

Authors and Affiliations

  1. University of Belgrade, Belgrade, Yugoslavia

    D. S. Mitrinović

  2. University of Zagreb, Zagreb, Croatia

    J. E. Pečarić

  3. Department of Mathematics, Iowa State University of Science and Technology, Ames, Iowa, USA

    A. M. Fink

Authors
  1. D. S. Mitrinović
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  2. J. E. Pečarić
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  3. A. M. Fink
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© 1993 Springer Science+Business Media Dordrecht

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Mitrinović, D.S., Pečarić, J.E., Fink, A.M. (1993). Interpolation Inequalities. In: Classical and New Inequalities in Analysis. Mathematics and Its Applications (East European Series), vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1043-5_29

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  • DOI: https://doi.org/10.1007/978-94-017-1043-5_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4225-5

  • Online ISBN: 978-94-017-1043-5

  • eBook Packages: Springer Book Archive

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