Abstract

In this paper generalized Stolarsky and related means are recognized as an application of particulary defined linear functional on family of n-convex function. However, this approach leads to a more general method of constructing exponentially convex functions and means of Cauchy type.

Author information

Contact details are reproduced from the original publication and may be historical.

Julije Jaksetic

Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Croatia

julije@math.hr

Josip Pecaric

Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia

pecaric@hazu.hr

Keywords

  • Means
  • n-convex functions
  • exponential convexity
  • divided differences

Mathematics Subject Classification

26D15, 26D20, 26D99

Suggested citation

J. Jaksetic, J. Pecaric. “Exponential Convexity Method.” Journal of Convex Analysis 20 (2013), No. 1, 181–197.

Copyright Heldermann Verlag 2013