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Inequalities Due to T. S. Nanjundiah

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Recent Progress in Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 430))

Abstract

In this note we give Nanjundiah’s proofs of his mixed geometric-arithmetic mean inequalities; in particular his use of inverse means is explained.

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References

  1. P. S. Bullen, D. S. Mitrinović and P. M. Vasić, Means and Their Inequalities, Reidel Publishing Co., Dordrecht — Boston, 1988.

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  2. K. Kedlaya Proof of a mixed arithmetic-mean geometric-mean inequality, Amer. Math. Monthly 101 (1954), 355–357.

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  3. T. Matsuda An inductive proof of a mixed arithmetic-geometric mean inequality, Amer. Math. Monthly 102 (1955), 634–637.

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  4. T. S. Nanjundiah, Inequalities relating to arithmetic and geometric means I, II, J. Mysore Univ. Sect. B6 (1946), 63–77 and 107-113.

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  5. T. S. Nanjundiah, Sharpening some classical inequalities, Math. Student 20 (1952), 24–25.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver BC, Canada, V6T 1Z2

    P. S. Bullen

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  1. P. S. Bullen
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Editor information

Editors and Affiliations

  1. University of Niš, Niš, Yugoslavia

    G. V. Milovanović (Faculty of Electronic Engineering) (Faculty of Electronic Engineering)

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© 1998 Springer Science+Business Media New York

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Bullen, P.S. (1998). Inequalities Due to T. S. Nanjundiah. In: Milovanović, G.V. (eds) Recent Progress in Inequalities. Mathematics and Its Applications, vol 430. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9086-0_11

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  • DOI: https://doi.org/10.1007/978-94-015-9086-0_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4945-2

  • Online ISBN: 978-94-015-9086-0

  • eBook Packages: Springer Book Archive

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