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On approximation by polynomials in Orlicz spaces

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Approximation Theory and its Applications

Abstract

In this paper, we prove Jackson theorem of derivative type in Orlicz spaces, and the results of this paper are generalization of the results of A.-R.K. Ramazanov in [2].

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References

  1. Wu Congxin & Wang Tingfu, Orlicz Space and its Applications (in Chinese), Science and technic of Hei Long Jiang press, Ha Er Bin, 1983.

    Google Scholar 

  2. Ramazanov, A.-R.K., On Approximation by Polynomials and Rational Functions in Orlicz spaces, Analysis Mathematica, 10, (1984), 117–132.

    Article  MATH  MathSciNet  Google Scholar 

  3. Yang Yiqun, K-functional and Degree of Approximation (I) (in Chinese), Acta Mathematica Sinica, 27:1, (1984), 133–144.

    MathSciNet  Google Scholar 

  4. —, K-functional and Degree of Approximation (II) (in Chinese), idib., 27: 2, (1984), 192–202.

    MathSciNet  Google Scholar 

  5. Xie Tingfan, On Smoothness of Functions (in Chinese), Chinese Annals of Math., 5:5, (1984), 651–654.

    MATH  Google Scholar 

  6. Lorentz, G. G., Approximation Theory of Functions (in Chinese), Science and technic of Shanghai press, Shanghai, 1981.

    Google Scholar 

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Garidi, W. On approximation by polynomials in Orlicz spaces. Approx. Theory & its Appl. 7, 97–110 (1991). https://doi.org/10.1007/BF02836460

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  • DOI: https://doi.org/10.1007/BF02836460

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