Relations between moduli of smoothness in different metrics

Author:

Potapov M. K.,Simonov B. V.,Tikhonov S. Yu.

Publisher

Allerton Press

Subject

General Mathematics

Reference8 articles.

1. P. L. Ul’yanov, “Embedding of Some Classes of Functions from H p ω ,” Izv. Akad. Nauk SSSR, Matem. 32(3), 649 (1968).

2. P. L. Ul’yanov, “Embedding Theorems and Relations between Best Approximations (Moduli of Continuity) in Different Metrics,” Matem. Sborn. 81(123)(1), 104 (1970) [Math. of the USSR-Sbornik 10 (1), 103 (1970)].

3. V. I. Kolyada, “Relations between Moduli of Continuity in Different Metrics,” Trudy Matem. Inst. Akad. Nauk SSSR 181, 117 (1988).

4. A. Zygmund, Trigonometric Series, Vol. 2 (Cambridge Univ. Press, 1959; Mir, Moscow, 1965).

5. M. K. Potapov and B. V. Simonov, “On Interrelation of the Generalized Besov-Nikol’skii and Weyl-Nikol’skii Classes of Functions,” Anal. Math. 22, 299 (1996).

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