An Estimate of an Optimal Argument in the Sharp Multidimensional Jackson-Stechkin L-2-Inequality

作者：Gorbachev D V^*

来源：Proceedings of the Steklov Institute of Mathematics, 2015, 288(S1): S70-S78.

DOI：10.1134/S008154381502008X

• best approximation
• generalized modulus of continuity
• sharp multidimensional Jackson-Stechkin inequality

An estimate of an optimal argument in the sharp Jackson-Stechkin inequality in the space L-2(R-n) is proved in the case of a generalized modulus of continuity; its special case is the classical modulus of continuity. Similar statements hold for the torus T-n. The obtained results agree with Chernykh's classical one-dimensional theorems and refine some results by S.N. Vasil'ev, A.I. Kozko, and A.V. Rozhdestvenskii.

• 出版日期2015-4