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Siberian Mathematical Journal

, Volume 29, Issue 1, pp 39–45 | Cite as

Density of finite functions in Orlicz-Sobolev spaces

  • V. S. Klimov
  • E. R. Semko
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Keywords

Finite Function 
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Literature Cited

  1. 1.
    S. L. Sobolev, Introduction to the Theory of Cubature Formulas [in Russian], Nauka, Moscow (1974).Google Scholar
  2. 2.
    O. V. Besov, V. P. Il'in, and S. M. Nikol'skii, Integral Representations of Functions and Embedding Theorems [in Russian], Nauka, Moscow (1975).Google Scholar
  3. 3.
    M. A. Krasnosel'skii and Ya. B. Rutitskii, Convex Functions and Orlicz Spaces [in Russian], Fizmatgiz, Moscow (1958).Google Scholar
  4. 4.
    L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).Google Scholar
  5. 5.
    V. S. Klimov, “Boundary-value problems in Orlicz-Sobolev spaces,” Qualitative and Approximative Methods of Investigating Operator Equations, 75–93, Yaroslavskii State University, Yaroslavl (1976).Google Scholar
  6. 6.
    J.-P. Gossez, “Some approximation properties in Orlicz-Sobolev spaces,” Stud. Math.,74, 17–24 (1982).Google Scholar
  7. 7.
    E. R. Semko, “On the averaging of functions from Orlicz-Sobolev spaces,” Qualitative and Approximative Methods of Investigating Operator Equations, 42–51, Yaroslavskii State University, Yaroslavl (1985).Google Scholar
  8. 8.
    S. G. Krein, Yu. I. Petunin, and E. M. Semenov, Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).Google Scholar
  9. 9.
    Ya. B. Rutitskii, “On operators with homogeneous kernels,” Sib. Mat. Zh.,21, No. 1, 153–160 (1980).Google Scholar
  10. 10.
    B. N. Pshenichnyi, Necessary Conditions for an Extremum [in Russian], Nauka, Moscow (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • V. S. Klimov
  • E. R. Semko

There are no affiliations available

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