17 citations · 20 across the 4 of their papers we have counts for
4 papers
Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means
D. Lukkassen, L. E. Persson, G. Tephnadze +1
In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin-Fourier (Walsh-Fourier) series. The corresponding inequality is…
A local-effective relation in planar linear elasticity
Dag Lukkassen, Annette Meidell, Klas Pettersson
We give an example of a relation between local and effective properties for elastic structures, up to geometric constants. The model considered is a periodic structure with isotrop…
An elementary proof of the Vigdergauz equations for a class of square symmetric structures
Dag Lukkassen, Annette Meidell, Klas Pettersson
For a periodically perforated structure, for which homogenization takes place in the linear theory of elasticity, the components of the effective elasticity tensor depend in genera…
On weak convergence of locally periodic functions
Dag Lukkassen, Peter Wall
We prove a generalization of the fact that periodic functions converge weakly to the mean value as the oscillation increases. Some convergence questions connected to locally period…