A two-parameter homogeneous mean value
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- by M. D. Tobey
- Proc. Amer. Math. Soc. 18 (1967), 9-14
- DOI: https://doi.org/10.1090/S0002-9939-1967-0210857-6
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References
- Emil Artin, The gamma function, Athena Series: Selected Topics in Mathematics, Holt, Rinehart and Winston, New York-Toronto-London, 1964. Translated by Michael Butler. MR 0165148
- E. F. Beckenbach, On the inequality of Kantorovich, Amer. Math. Monthly 71 (1964), 606–619. MR 168714, DOI 10.2307/2312319
- Edwin F. Beckenbach and Richard Bellman, Inequalities, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 30, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1961. MR 0158038
- B. C. Carlson, A hypergeometric mean value, Proc. Amer. Math. Soc. 16 (1965), 759–766. MR 179389, DOI 10.1090/S0002-9939-1965-0179389-6 G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, 2nd ed., Cambridge Univ. Press, Cambridge, 1959.
- Basil C. Rennie, Mathematical Notes: An Inequality which Includes that of Kantorovich, Amer. Math. Monthly 70 (1963), no. 9, 982. MR 1532372, DOI 10.2307/2313061 M. D. Tobey, Ph.D. thesis, Iowa State University, Ames, 1966 (unpublished).
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 9-14
- MSC: Primary 26.70
- DOI: https://doi.org/10.1090/S0002-9939-1967-0210857-6
- MathSciNet review: 0210857