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
Abstract views: 201

Abstract

Not available.

Downloads

Download data is not yet available.

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).

Downloads

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

Issue

Vol. 3 No. 1 (1974)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.