On some iterated means arising in homogenization theory

Dag Lukkassen; Jaak Peetre; Lars-Erik Persson

Applications of Mathematics (2004)

  • Volume: 49, Issue: 4, page 343-356
  • ISSN: 0862-7940

Abstract

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We consider iteration of arithmetic and power means and discuss methods for determining their limit. These means appear naturally in connection with some problems in homogenization theory.

How to cite

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Lukkassen, Dag, Peetre, Jaak, and Persson, Lars-Erik. "On some iterated means arising in homogenization theory." Applications of Mathematics 49.4 (2004): 343-356. <http://eudml.org/doc/33188>.

@article{Lukkassen2004,
abstract = {We consider iteration of arithmetic and power means and discuss methods for determining their limit. These means appear naturally in connection with some problems in homogenization theory.},
author = {Lukkassen, Dag, Peetre, Jaak, Persson, Lars-Erik},
journal = {Applications of Mathematics},
keywords = {iterations; means; homogenization theory; iteration},
language = {eng},
number = {4},
pages = {343-356},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some iterated means arising in homogenization theory},
url = {http://eudml.org/doc/33188},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Lukkassen, Dag
AU - Peetre, Jaak
AU - Persson, Lars-Erik
TI - On some iterated means arising in homogenization theory
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 4
SP - 343
EP - 356
AB - We consider iteration of arithmetic and power means and discuss methods for determining their limit. These means appear naturally in connection with some problems in homogenization theory.
LA - eng
KW - iterations; means; homogenization theory; iteration
UR - http://eudml.org/doc/33188
ER -

References

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