Ukrainian Mathematical Journal

, Volume 41, Issue 4, pp 423–428 | Cite as

Uniform approximation by algebraic polynomials and continuation of functions of many real variables

  • V. N. Konovalov
Article
  • 17 Downloads

Keywords

Real Variable Uniform Approximation Algebraic Polynomial 
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Literature cited

  1. 1.
    V. K. Dzyadyk and V. N. Konovalov, “A method for the resolution of unity into the sum of algebraic polynomials of two variables with some kernel properties in domains with peicewise smooth boundary,” Ukr. Mat. Zh.,25, No. 2, 179–192 (1973).Google Scholar
  2. 2.
    V. K. Dzyadyk, Introduction ot the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).Google Scholar
  3. 3.
    V. N. Konovalov, “Jackson-type approximation theorem for functions of many variables,” Ukr. Mat. Zh.,33, No. 6, 757–764 (1981).Google Scholar
  4. 4.
    V. N. Konovalov, “Approximation by polynomials of functions of many variables,” Ukr. Mat. Zh.,36, No. 2, 154–160 (1984).Google Scholar
  5. 5.
    V. N. Konovalov, “Continuation of functions of many variables with preserving differential-difference properties,” Ukr. Mat. Zh.,36, No. 3, 304–308 (1984).Google Scholar
  6. 6.
    V. N. Konovalov, “Study of approximation and continuation of functions of many variables,” Doctoral Dissertation, Kiev (1985).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • V. N. Konovalov
    • 1
  1. 1.Kiev

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