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.
Key words and phrases
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
P. S. Bullen, D. S. Mitrinović and P. M. Vasić, Means and Their Inequalities, Reidel Publishing Co., Dordrecht — Boston, 1988.
K. Kedlaya Proof of a mixed arithmetic-mean geometric-mean inequality, Amer. Math. Monthly 101 (1954), 355–357.
T. Matsuda An inductive proof of a mixed arithmetic-geometric mean inequality, Amer. Math. Monthly 102 (1955), 634–637.
T. S. Nanjundiah, Inequalities relating to arithmetic and geometric means I, II, J. Mysore Univ. Sect. B6 (1946), 63–77 and 107-113.
T. S. Nanjundiah, Sharpening some classical inequalities, Math. Student 20 (1952), 24–25.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
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
Download citation
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