On the relation between the Jackson and Jung constants of the spacesL
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Authors: | V I Ivanov |
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Institution: | (1) Tula State Technical University, USSR |
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Abstract: | For any infinitely metrizable compact Abelian groupG; 1 p q< ,n , the following relations are proved: whereK
pq(G, n, G) is the largest Jackson constant in the approximation of the system of characters by polynomials of ordern, d
pq(G, n, G) is the best Jackson constant,J(L
p(G), Lq(G)) is the Jung constant of the pair of real spaces (L
p(G), Lq(G)), and .Translated fromMatematicheskie Zametki, Vol. 58, No. 6, pp. 828–836, December, 1995.This work was supported by the Russian Foundation for Basic Research under grant No. 95-01-00657. |
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