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Publication:3736256
zbMath0601.41019MaRDI QIDQ3736256
Publication date: 1984
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Besov spaceLaplace-Beltrami operatormodulus of smoothnessspherical meansJackson-type inequalitypolynomials of spherical harmonics
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63)
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Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Direct and inverse theorems on the approximation of functions by Fourier-Laplace sums in the spaces \(S^{(p,q)}(\sigma^m)\)
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