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Exact estimates in the approximation of continuous functions on the sphere by linear convolution operators

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Publication:1176889
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DOI10.1007/BF01066914zbMath0741.41019MaRDI QIDQ1176889

V. V. Shalaev

Publication date: 25 June 1992

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


zbMATH Keywords

modulus of continuityGegenbauer polynomialsspherical polynomialsshift operation


Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)


Related Items (4)

Direct and inverse theorems on the approximation of functions by Fourier-Laplace sums in the spaces \(S^{(p,q)}(\sigma^m)\) ⋮ Sharp Jackson-Stechkin inequality in \(L^2\) for multidimensional spheres ⋮ Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces ⋮ Jackson-type inequalities in the spaces \(S^{(p,q)} (\sigma^{m -1})\)




Cites Work

  • Unnamed Item
  • Widths of certain classes of analytic functions in the Hardy space \(H_ 2\)




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