Mixed generalized modulus of smoothness and approximation by the ``angle of trigonometric polynomials

DOI10.1134/S000143461609011XzbMath1362.42054MaRDI QIDQ509143

N. V. Omel'chenko, Konstantin V. Runovski

Publication date: 9 February 2017

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

mixed modulus of smoothnessapproximation by ``angledirect and inverse approximation theorygeneralized modulus of smoothness

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Summability in several variables (42B08)

Related Items (1)

Realizations of mixed generalized \(K\)-functionals

Cites Work

• Moduli of smoothness related to fractional Riesz-derivatives
• A direct theorem of approximation theory for a general modulus of smoothness
• Properties of the mixed modulus of smoothness of positive order in a mixed metric
• General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators
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