Strengthened Ul'yanov's Inequalities for Partial Moduli of Smoothness for Functions from Spaces with Various Metrics

被引：1

作者：

Potapov, M. K. ^{[1
]}

Simonov, B. V. ^{[2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

[2] Volgograd State Tech Univ, 28 Lenin Ave, Volgograd 400005, Russia

来源：

MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2019年 / 74卷 / 03期

关键词：

D O I：

10.3103/S0027132219030033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ul'yanovs 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.

引用

页码：108 / 120

页数：13

共 7 条

[1] Strengthened Ul’yanov’s Inequalities for Partial Moduli of Smoothness for Functions from Spaces with Various Metrics
M. K. Potapov
B. V. Simonov
[J]. Moscow University Mathematics Bulletin, 2019, 74 : 108 - 120
[2] Strengthened Ul'yanov's Inequality for Complete Moduli of Smoothness of Functions from Spaces with Mixed Metrics
Potapov, M. K.
Simonov, B. V.
[J]. MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2018, 73 (06) : 217 - 228
[3] Ul'yanov Type Inequalities For Moduli Of Smoothness
Jafarov, Sadulla
[J]. APPLIED MATHEMATICS E-NOTES, 2012, 12 : 221 - 227
[4] Improvement of the Ul'yanov inequality for mixed moduli of smoothness for functions with lacunary Fourier coefficients
Potapov M.K.
Simonov B.V.
[J]. Moscow University Mathematics Bulletin, 2012, 67 (1) : 16 - 22
[5] Interrelations between Partial Moduli of Smoothness in Various Mixed Metrics
M. K. Potapov
B. V. Simonov
[J]. Moscow University Mathematics Bulletin, 2021, 76 : 206 - 220
[6] Interrelations between Partial Moduli of Smoothness in Various Mixed Metrics
Potapov, M. K.
Simonov, B., V
[J]. MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2021, 76 (05) : 206 - 220
[7] Two-Side Estimates for Sums of Absolute Values of Fourier Coefficients of Functions from H(SIC) (T-m) with the Use of Partial Moduli of Smoothness
D'yachenko, D. M.
[J]. MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2011, 66 (01) : 1 - 7

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