Sharp Jackson-Stechkin inequality in \(L^2\) for multidimensional spheres

DOI10.1007/BF02320361zbMath0903.41014MaRDI QIDQ1387329

A. G. Babenko

Publication date: 16 December 1998

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

zbMATH Keywords

best approximationsharp estimatesJackson-Stechkin inequality

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (6)

Direct and inverse theorems on the approximation of functions by Fourier-Laplace sums in the spaces \(S^{(p,q)}(\sigma^m)\) ⋮ Dunkl's theory and best approximation by entire functions of exponential type in \(L_{2}\)-metric with power weight ⋮ The sharp Jackson inequality in the space \(L_p\) on the sphere ⋮ Two related extremal problems for entire functions of several variables ⋮ Jackson-type inequalities in the spaces \(S^{(p,q)} (\sigma^{m -1})\) ⋮ Optimal argument in the sharp Jackson inequality in the space \(L_2\) with hyperbolic weight

Cites Work

• Exact estimates in the approximation of continuous functions on the sphere by linear convolution operators
• ON APPROXIMATION OF FUNCTIONS ON THE SPHERE
• Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten
• Positive Zonal Functions on Spheres
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