Equivalence of \(K\)-functional and modulus of smoothness of functions on the sphere

DOI10.1007/BF01209618zbMath0794.41018MaRDI QIDQ1316906

Kh. P. Rustamov

Publication date: 12 April 1994

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

zbMATH Keywords

\(K\)-functionalmodulus of smoothnessspherical polynomialsBernstein-type inequality

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by other special function classes (41A30)

Related Items (5)

Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Riesz Means on Compact Riemannian Symmetric Spaces ⋮ On quantities of the type of modulus of continuity and analogs of \(K\)-functionals in the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces ⋮ $L^p$ Bernstein estimates and approximation by spherical basis functions

Cites Work

• Interpolation in polynomial classes and Markoff's inequality
• A theorem concerning approximation on the sphere
• Über die Approximationsordnung bei Kugelfunktionen und algebraischen Polynomen
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