Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 3, Pages 26–38 (Mi vmumm625)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Strengthened Ul'yanov's inequalities for partial moduli of smoothness for functions from spaces with various metrics

M. K. Potapova, B. V. Simonovb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Volgograd State Technical University
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Abstract: Ul'yanov's inequality connecting moduli of continuity in different metrics is well known for functions of one variable. In this paper functions of two variables are considered. Sharp Ul'yanov's inequalities connecting partial moduli of smoothness of positive order are proved in different mixed metrics.
Key words: inequality, partial modulus of smoothness, mixed metric.
Received: 18.07.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 3, Pages 108–120
DOI: https://doi.org/10.3103/S0027132219030033
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. K. Potapov, B. V. Simonov, “Strengthened Ul'yanov's inequalities for partial moduli of smoothness for functions from spaces with various metrics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 3, 26–38; Moscow University Mathematics Bulletin, 74:3 (2019), 108–120
Citation in format AMSBIB
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