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The results presented in this paper concern approximation by smooth functions in the Sobolev spaces defined by means of a modular (1). These spaces can be a natural medium to study the partial differential equations with rapidly or slowly increasing coefficients (i.e. the coefficients are of a nonpolynomial type).
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Rocznik
Tom
Strony
77--83
Opis fizyczny
Bibliogr. 5 poz.
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autor
- Institute of Mathematics Poznan University of Technology Piotrowo 3A, 60-965 Poznan, marian.liskowski@put.poznan.pl
Bibliografia
- [1] Hudzik H., Musielak J., Urbański R., Linear operators in modular spaces. An application to approximation theory, Proc. Conference of Approximation and Function Spaces, (Gdańsk, 1979), (1981), 279-286.
- [2] Liskowski M., Sobolev spaces ”with mixed functions”, Fasc. Math., 42 (2012), 73-82.
- [3] Liskowski M., On approximation by means of linear operators in generalized Orlicz spaces, Int. Journal of Pure and Applied Mathematics, 37(2)(2007), 165-180.
- [4] Musielak J., On approximation of functions of two variables by integral means and their generalization, Atti Sem. Mat. Univ. Modena, XLVI(1998), 335-349.
- [5] Musielak J., Orlicz Spaces and Modular Spaces, Lecture Notes in Math., 1034, Springer-Verlag (1983).
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Bibliografia
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