Combinations of multivariate averages

Journal of Approximation Theory

Volumn 131, Issue 2, 2004, Pages 268-283

  Dai, F ^a   Ditzian, Z ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Averages on spheres; K functionals; Strong converse inequalities

Indexed keywords

EID: 10944268994     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jat.2004.10.003     Document Type: Article

References (10)

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3. W. Chen Z. Ditzian Best approximation and K -functionals Acta Math. Hungar. 75 1997 165-208
4. F. Dai Some equivalence theorems with K -functionals J. Approx. Theory 121 2003 143-157
5. Z. Ditzian Fractional derivatives and best approximation Acta Math. Hungar. 81 4 1998 323-348
6. P.I. Lizorkin S.M. Nikol'skii Symmetric averaged difference on the sphere Soviet Math. Dokl. 38 1988 251-254
7. S.M. Nikolskii P.I. Lizorkin Approximation of functions on the sphere Izv. AN SSSR, Ser. Math. 51 3 1987 635-651
8. K.V. Rustamov On equivalence of different moduli of smoothness on the sphere Proc. Stekelov Inst. Math. 204 3 1994 235-260
9. E.M. Stein G. Weiss Introduction to Fourier Analysis in Euclidean Spaces 1971 Princeton University Press Princeton, NJ
10. G. Szëgo Orthogonal polynomials 1959 Amer. Math. Soc. Colloq. Publ.