Parametrized means and limit properties of their Gaussian iterations
type: Item
instance of: scholarly article
title: Parametrized means and limit properties of their Gaussian iterations
zbMATH Open document ID: 1410.26048
author: Justyna Jarczyk
published in: Applied Mathematics and Computation
publication date: 2018-06-19T00:00:00Z
Mathematics Subject Classification ID: 26E60
Mathematics Subject Classification ID: 26A18
Mathematics Subject Classification ID: 39B12
zbMATH DE Number: 6890727
zbMATH Keywords: mean
zbMATH Keywords: parametrized mean
zbMATH Keywords: Gauss composition
zbMATH Keywords: elliptic integrals
zbMATH Keywords: invariance
zbMATH Keywords: convergence of successive iterates
MaRDI profile type: Publication
full work available at URL: j.amc.2015.03.085
OpenAlex ID: W2060111803
cites work: Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
cites work: Iteration of random-valued functions on the unit interval
cites work: Q3476890
cites work: Q4441514
cites work: An extended Tauberian theorem for the \((C,1)\) summability method
cites work: On the Riesz mean of sequences of fuzzy real numbers
cites work: Some Tauberian theorems for the weighted mean methods of summability
cites work: Extended Tauberian theorem for the weighted mean method of summability
cites work: Algorithms Involving Arithmetic and Geometric Means
cites work: The arithmetic-geometric mean of Gauss
cites work: Q4793074
cites work: A stochastic functional equation
cites work: Q3998464
cites work: The Arithmetic-Harmonic Mean
cites work: Chaos, fractals, and noise: Stochastic aspects of dynamics.
cites work: On the compounding of certain means
cites work: Invariant and complementary quasi-arithmetic means
cites work: Q4947993
cites work: Q3007316
cites work: Q5395624
cites work: Q3669314
cites work: Hyperelliptic integrals and generalized arithmetic-geometric mean
cites work: Some general Tauberian conditions for the weighted mean summability method
DOI: 10.1016/J.AMC.2015.03.085
description: scientific article; zbMATH DE number 6890727