Results in Mathematics

, Volume 63, Issue 1, pp 397–408

Matkowski–Sutô Type Equation on Symmetrized Weighted Quasi-Arithmetic Means

Article

DOI: 10.1007/s00025-011-0204-z

Cite this article as:
Burai, P. Results. Math. (2013) 63: 397. doi:10.1007/s00025-011-0204-z
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Abstract

We solve a functional equation involving symmetrized weighted quasi-arithmetic means. More precisely we investigate the invariance of the arithmetic mean in the class of symmetrized weighted quasi-arithmetic means. Some regularity on the unknown generator functions is assumed.

Mathematics Subject Classification (2010)

39B2239B12

Keywords

Meansinvariance equationMatkowski–Sutô type equationfunctional equations involving means

Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Department of Applied Mathematics and Probability TheoryUniversity of DebrecenDebrecenHungary