Estimates of Mixed Moduli of Smoothness in Metrics of Lq Through Mixed Moduli of Smoothness in Metrics of L1-Reference-Cited by-同舟云学术

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Estimates of Mixed Moduli of Smoothness in Metrics of Lq Through Mixed Moduli of Smoothness in Metrics of L1

Published:2018-03 Issue:2 Volume:73 Page:50-63
ISSN:0027-1322
Container-title:Moscow University Mathematics Bulletin
language:en
Short-container-title:Moscow Univ. Math. Bull.

Author:

Potapov M. K.,Simonov B. V.

Publisher

Allerton Press

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.3103/S002713221802002X.pdf

Reference14 articles.

1. S. M. Nikol'skii, “Functions with Dominant Mixed Derivative Satisfying Multiple Holder Condition,” Sib. Matem. Zh. 4 (6), 1342 (1963).

2. N. S. Bakhvalov, “Embedding Theorems for Classes of Functions with Several Bounded Derivatives,” Vestn. Mosk. Univ., Matem. Mekhan., No. 3, 7 (1963).

3. M. K. Potapov, B. V. Simonov, and S. Yu. Tikhonov, Fractional Moduli of Smoothness. (Maks Press, Moscow, 2016) [in Russian].

4. O. V. Besov, V. P. Il'in, and S. M. Nikol'skii, Integral Representation of Functions and Embedding Theorems (Nauka, Moscow, 1975) [in Russian].

5. M. Potapov, B. Simonov, and S. Tikhonov, “Mixed Moduli of Smoothness in Lp, 1 < p < TO. A Survey,” Surv. Approxim. Theory 8, 1 (2013).

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Inequalities Refining Relations between Mixed Moduli of Smoothness in L1 and Lq Metrics;Russian Mathematics;2022-02

2. Refinement of the Relations between Mixed Smoothness Moduli in $ L_{1} $ and $ L_{q} $ Metrics;Siberian Mathematical Journal;2021-07

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