Series expansions of means

DOI10.1016/0022-247X(84)90125-2zbMath0582.41026MaRDI QIDQ1069081

H. W. Gould, Michael E. Mays

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Lehmer meanStolarsky meanGini meanEuler's recurrence formulaLeach meanSholander mean

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items

Some reproducing identities for families of mean values, Means that minimize relative error, and an associated integral equation, Taylor expansions of analytic functions related to \((1+z)^ x-1\), Means and Taylor polynomials, On the intersection of two-parameter mean value families, Invariance in the Family of Weighted Gini Means

Cites Work

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• On the compounding of certain means
• Di una formula comprensiva delle medie
• Coefficient Identities for Powers of Taylor and Dirichlet Series
• Generalizations of the Logarithmic Mean
• Extended Mean Values
• Algorithms Involving Arithmetic and Geometric Means