Best constants of harmonic approximation of some convolution classes associated with Laplace operator in \(d\)-variables

DOI10.1007/S11425-012-4503-YzbMath1263.41008OpenAlexW1591086737MaRDI QIDQ1945479

Bo Ling, Yong-ping Liu

Publication date: 8 April 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4503-y

zbMATH Keywords

Laplace operatortrigonometric polynomialsbest approximationentire functions of exponential typeexact constant

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25)

Cites Work

• Invariance theorems in approximation theory and their applications
• Best constants of harmonic approximation on classes associated with the Laplace operator
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