A modulus of smoothness on the unit sphere

Journal d'Analyse Mathematique

Volumn 79, Issue , 1999, Pages 189-200

  Ditzian, Z ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040631733     PISSN: 00217670     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02788240     Document Type: Article

References (12)

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2. Z. Ditzian, On the Marchaud-type inequality, Proc. Amer. Math. Soc. 103 (1988), 198-202.
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5. S. M. Nikolskii and P. I. Lizorkin, Function spaces on a sphere that are connected with approximation theory, Mat. Zametki 41 (1987), 509-516. English transl. in Math. Notes 41 (1987), 286-291.
6. S. M. Nikolskii and P. I. Lizorkin, Function spaces on a sphere that are connected with approximation theory, Mat. Zametki 41 (1987), 509-516. English transl. in Math. Notes 41 (1987), 286-291.
7. P. P. Petrushev and V. A. Popov, Rational Approximation of Real Functions, Cambridge University Press, 1987.
8. E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, New Jersey, 1971.
9. A. F. Timan, Theory of Approximation of Functions of a Real Variable, Pergamon Press, Oxford, 1963 (translated from the Russian original which appeared in 1960 and was published by Fizmatgiz).
10. p, Mat. Sb. 44 (88) (1958), 125-132 (Russian).
11. p-polynomial approximation, Constr. Approx. 4 (1988), 419-433.
12. A. Zygmund, A remark on the integral modulus of continuity, Univ. Nac. Tucumán Rev. Ser. A 7 (1950), 259-269.