Sharp converse theorem ofL p -polynomial approximation

V. Totik

doi:10.1007/bf02075471

journal article Dec 01, 1988

Sharp converse theorem ofL p -polynomial approximation

V. Totik

Constructive Approximation Vol. 4 No. 1 pp. 419-433 · Springer Science and Business Media LLC

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References

7

[1]

Z. Ditzian (1980):On interpolation of L p [a, b] and weighted Sobolev spaces. Pacific J. Math.,90:307–323. 10.2140/pjm.1980.90.307

[2]

Z.Ditzian (to appear):On Marchaud-type inequality. Proc. Amer. Math. Soc. 10.1090/s0002-9939-1988-0938668-8

[3]

Z. Ditzian, V. Totik (1987): Moduli of Smoothness. Springer Series for Computational Mathematics, vol. 9. Berlin: Springer-Verlag.

[4]

I. I.Hirschman (1955):The decomposition of Walsh and Fourier series. Mem. Amer. Math. Soc.,15. 10.1090/memo/0015

[5]

M. F. Timan (1958):Converse theorems of the constructive theory of functions in the spaces L p . Mat. Sb.,46(88):125–132 (in Russian).

[6]

V. Totik (1984):An interpolation theorem and its application to positive operators. Pacific J. Math.,111:447–481. 10.2140/pjm.1984.111.447

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A. Zygmund (1950):A remark on the integral modulus of continuity. Univ. Nac. Tucumán Rev. Ser. A,7:259–269.

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Details

Published: Dec 01, 1988
Vol/Issue: 4(1)
Pages: 419-433
License: View

Authors

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V. Totik

Cite This Article

V. Totik (1988). Sharp converse theorem ofL p -polynomial approximation. Constructive Approximation, 4(1), 419-433. https://doi.org/10.1007/bf02075471

Sharp converse theorem ofL p -polynomial approximation

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