Behavior of Lebesgue constants

  • V. A. Yudin


Upper bounds are obtained for the Lebesgue constants generated by closed, balanced sets in Em with bounded Minkowski upper measure of the boundary.


Lebesgue Constant 
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Literature cited

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    K. I. Babenko, “On the mean convergence of multiple Fourier series and the asymptotic behavior of the Dirichlet kernel of the spherical means,” Preprint No. 52, Inst. Prikl. Matem. Akad. Nauk SSSR, Moscow (1971).Google Scholar
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    H. Hadwiger, Lectures on Volume, Surface Area, and Isoperimetry [Russian translation], Mir, Moscow (1966).Google Scholar
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    S. M. Nikol'skii, Approximation of Functions of Several Variables and Embedding Theorems [in Russian], Nauka, Moscow (1969).Google Scholar
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    C. S. Hertz, “Fourier transforms related to convex sets,” Ann. Math.,75, 81–92 (1962).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • V. A. Yudin
    • 1
  1. 1.V. A. Steklov Mathematical InstituteAcademy of Sciences of the USSRUSSR

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