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On the rate of convergence of conjugate Legendre—Fourier Series of function of bounded variation

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Approximation Theory and its Applications

Abstract

This paper gives the degree of approximation of function of bounded variation by the partial sums of conjngate Legendre—Fourier Series.

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References

  1. Bojanic, R. and Vuilleumier, M., On the Rate of Convergence of Fourier—Legerdre Series of Functions of Bounded Variation, J. A. T. 31(1981), 67–79.

    Article  MATH  MathSciNet  Google Scholar 

  2. Pollard, H., The mean convergence of Orthogonal series I, Trans. A. M. S. 62 (1947), 387–803.

    Article  MATH  MathSciNet  Google Scholar 

  3. Xie, T. F., Approximation of Legrange Interpolation Polynomial on the basis of the Zeros of Jacobi Polynomial, (to appear).

  4. Xie, T. F., On convergence of Pal—Type interpolation polynomials, Chinese Ann. Math., 9B: 3 (1988), 315–321.

    Google Scholar 

  5. Zhang, P. X., On Conjugate Fourier—Legendre Series, J. Math. Research Exposition, Vol. B, 4 (1993), 365–371.

    Google Scholar 

  6. Szego, G. Orthogonal polynomials, Amer. Math. Soc. Coll. Publ., New York, 1939.

    Google Scholar 

  7. Prinalow, I. I., Randeigenschaften analytischer Funktionen, Deutscher Verlagder Wissensch after, Berlin, 1956.

    Google Scholar 

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Guohua, Y. On the rate of convergence of conjugate Legendre—Fourier Series of function of bounded variation. Approx. Theory & its Appl. 13, 42–55 (1997). https://doi.org/10.1007/BF02836809

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  • DOI: https://doi.org/10.1007/BF02836809

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