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Original Articles

Means and the mean value theorem

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Pages 729-740 | Received 06 Oct 2008, Published online: 04 Aug 2009

References

  • Halmetoja , M , Haukkanen , P , Laurinolli , T , Merikoski , JK , Tossavainen , T and Virtanen , A . 2007 . On direct and inverse proportionality . Amer. Math. Monthly , 114 : 871 – 881 .
  • Haukkanen , P and Tossavainen , T . 2007 . The Schröder equation and some elementary functions . Int. J. Math. Anal. (Ruse) , 1 : 101 – 106 .
  • Merikoski , JK and Tossavainen , T . 2009 . Fooling Newton's method as much as one can . Math. Mag. , 82 : 134 – 135 .
  • Berrone , LR and Moro , J . 1998 . Lagrangian means . Aequationes Math. , 55 : 217 – 226 .
  • Bullen , PS . 2003 . Handbook of Means and Their Inequalities , Dordrecht : Kluwer .
  • Roberts , AW and Varberg , DE . 1973 . Convex Functions , New York : Academic Press .
  • van Tiel , J . 1984 . Convex Analysis: An Introductory Text , Chichester : John Wiley .
  • Rudin , W . 1976 . Principles of Mathematical Analysis , 3rd , Singapore : McGraw-Hill .
  • Mitrinović , DS , Pečarić , JE and Fink , AM . 1993 . Classical and New Inequalities in Analysis , Dordrecht : Kluwer .
  • Berrone , LR and Moro , J . 2000 . On means generated through the Cauchy mean value theorem . Aequationes Math. , 60 : 1 – 14 .
  • Hannula , M . 2004 . “ Regulating motivation in mathematics ” . In a paper presented at the Topic Study Group 24 of ICME-10 Conference 2004. Available at http://www.icme-organisers.dk/tsg24/Documents/Hannula.doc

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