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On the de la Vallée-Poussin means on the sphere

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Publication:689868
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DOI10.1007/BF03322314zbMath0781.41011MaRDI QIDQ689868

Hubert Berens, Luoqing Li

Publication date: 20 December 1993

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

de la Vallée-Poussin meanszonal functions


Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25)


Related Items

De la Vallée Poussin means in Hardy spaces ⋮ Convergence of the method of fundamental solutions for Poisson's equation on the unit sphere ⋮ Generalized translation operator and approximation in several variables ⋮ REGULARIZED LEAST SQUARE REGRESSION WITH SPHERICAL POLYNOMIAL KERNELS ⋮ Discretized Newman-Shapiro operators and Jackson's inequality on the sphere



Cites Work

  • Approximation by spherical polynomials
  • Approximation by spherical functions
  • Über die Approximationsordnung bei Kugelfunktionen und algebraischen Polynomen
  • A Generalization Of An Inequality Of Hardy and Littlewood
  • Harmonic and Analytic Functions Of Several Variables and The Maximal Theorem Of Hardy and Littlewood
  • Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten
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