APPLICATIONS OF MATHEMATICS, Vol. 49, No. 4, pp. 343-356, 2004

On some iterated means arising in
homogenization theory

Dag Lukkassen, Jaak Peetre, Lars-Erik Persson

D. Lukkassen, Narvik University College, P.O. Box 385, N-8505 Narvik, Norway, e-mail: dl@hin.no; J. Peetre, Centre of Mathematics, Lund University, P.O. Box 118, S-22100 Lund, Sweden, e-mail: Jaak.Peetre@math.lu.se; L.-E. Persson, Department of Mathematics, Lulea University of Technology, S-97187 Lulea, Sweden, e-mail: larserik@sm.luth.se

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.

Keywords: iterations, means, homogenization theory

Classification (MSC 2000): 26A18, 35M20, 26D99


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