Skip to main content
Log in

Uniform estimates for monotone approximation

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

Uniform estimates are obtained for the monotone approximation of the functions from the generalized Babenko classes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Z. Ditzian and V. Totik, “Moduli of smoothness,”Springer Ser. Comput. Math.,9, 300–315 (1987).

    Google Scholar 

  2. I. A. Shevchuk,Approximation by Polynomials and the Traces of Functions Continuous on a Segment [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  3. S. B. Stechkin, “On the order of the best approximations for continuous functions,”Izv. Akad. Nauk SSSR, Ser. Mat.,15, No. 3, 219–242 (1951).

    Google Scholar 

  4. N. K. Bari and S. B. Stechkin, “Optimal approximations and differential properties of two conjugate functions,”Tr. Mosk. Mat. Obshch.,5, 483–522 (1956).

    Google Scholar 

  5. D. Leviatan, “Monotone and comonotone polynomial approximation revisited,”J. Approx. Theory,53, 1–16 (1988).

    Google Scholar 

  6. G. A. Dzyubenko, V. V. Listopad, and I. A. Schevchuk, “Uniform estimates for a monotone polynomial approximation,”Ukr. Mat. Zh.,45, No. 1, 38–44 (1993).

    Google Scholar 

  7. I. A. Shevchuk,Comonotone approximation and the polynomial Dzyadyk kernels [in Russian], Preprint No. 89.10, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1989).

    Google Scholar 

  8. I. A. Shevchuk, “On coapproximation of monotone functions,”Dokl. Akad. Nauk SSSR,308, No. 3, 537–541 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 6, pp. 785–790, June, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Listopad, V.V. Uniform estimates for monotone approximation. Ukr Math J 45, 863–870 (1993). https://doi.org/10.1007/BF01061438

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01061438

Keywords

Navigation