The equivalence of two functional equations involving the arithmetic mean, the geometric mean and their Gauss composition

DOI10.1007/S00010-010-0030-5zbMath1216.39029OpenAlexW2047108016MaRDI QIDQ623405

Gyula Maksa, Adrienn Varga

Publication date: 14 February 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-010-0030-5

zbMATH Keywords

equivalencefunctional equationsarithmetic and geometric meansGauss composition

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

Cites Work

• Pexider's equation and aggregation of allocations
• Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
• Algorithms Involving Arithmetic and Geometric Means
• Functional equations involving means and their Gauss composition
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The equivalence of two functional equations involving the arithmetic mean, the geometric mean and their Gauss composition