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On an inequality of Klamkin

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Connections of an inequality of Klamkin with Stolarsky means and convexity are shown. An application to arithmetical func-tions is given.

Abstract

Connections of an inequality of Klamkin with Stolarsky means and convexity are shown. An application to arithmetical func-tions is given.

참고문헌 (10)

  1. J. M. Brown, "Solutions to Problem E2483", Amer. Math. Monthly, 82, pp.758~760 (1975)
  2. G. H. Hardy, "An introduction to the theory of numbers" (1960), Oxford Univ. Press
  3. M. S. Klamkin, "Problem E2483", Amer. Math. Monthly, 81, pp.660~ (1974)
  4. "E. KrÄatzel, Zahlentheorie, Berlin, 1981", ~ (1981)
  5. D. S. Mitrinovic, "Analytic inequalities" (1970), Springer Verlag
  6. D. S. Mitrinovic, "Handbook of number theory" (1995), Kluwer Acad. Publ.
  7. J. Sandor, "On an inequality of Klamkin with arithmetical applications", Int. J. Math. E. Sci. Techn, 25, pp.157~158 (1994)
  8. J. Sandor, "On the identric and logarithmic means", Aequationes Math, 40, pp.261~270 (1990)
  9. J. Sandor, "Handbook of number theory, II" (2005), Springer Verlag
  10. K. B. Stolarsky, "The power and generalized logarithmic means", Amer. Math. Monthly, 87, pp.545~548 (1980)

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