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Approximative Properties of Diagonal Operators in Orlicz Spaces
Authors:A. L. Shidlich  S. O. Chaichenko
Affiliation:1. Department of Theory of Functions, Institute of Mathematics , National Academy of Sciences of Ukraine , Kyiv , Ukraine andy709@list.ru;3. Department of Mathematics , Donbas State Pedagogical University , Slavyansk , Ukraine
Abstract:We obtain the exact values of some important approximative quantities (such as the best approximation, the basis width, Kolmogorov's width, and the best n-term approximation) of certain sets of images of the diagonal operators in the Orlicz sequence spaces l M .
Keywords:Best n-term approximation  Diagonal operator  Kolmogorov width  Orlicz sequence spaces
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