Approximation of monotone functions by monotone polynomials in Hausdorff metric

Authors

  • V. Popov Department of Mathematics University of Sofia, Bulgaria
  • B. Sendov Department of Mathematics University of Sofia, Bulgaria
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References

Lorentz, G. G.; Zeller, K. L,. Degree of approximation by monotone polynomials. I. J. Approximation Theory 1 1968 501-504, MR0239342, https://doi.org/10.1016/0021-9045(68)90039-7

Lorentz, G. G., Approximation of functions. Holt, Rinehart and Winston, New York-Chicago, Ill.-Toronto, Ont. 1966 ix+188 pp., MR0213785.

Sendov, B., Certain questions in the theory of approximations of functions and sets in the Hausdorff metric. (Russian) Uspehi Mat. Nauk 24 1969 no. 5 (149), 141-178, MR0276648.

Sendov, Bl., Some questions of the approximation theory for functions and sets in Husdorff's metric. Ups. Mat. Nauk, 24, 5, 141-178 (1969) (in Russian).

Sendov, Bl., and Popov, V. A., One Generalization of Jackson's Theorem for Best Approximation- Journal of Approximation Theory (to appear).

Sendov, Bl., and Popov, V. A., An analogue of S. M. Nikolski's theorem for approximation of function with algebraic polynomials in Hausdorff's metric - Proc. Conf. Const. Function Theory, (Sofia) 95-105 (1972) (Varna, 1970).

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Published

1974-02-01

How to Cite

Popov, V., & Sendov, B. (1974). Approximation of monotone functions by monotone polynomials in Hausdorff metric. Rev. Anal. Numér. Théorie Approximation, 3(1), 79–88. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1974-vol3-no1-art10

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Vol. 3 No. 1 (1974)

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