Skip to main content
Log in

Several statements for convex functions

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

For the setM of convex-downward functions Ψ (•) vanishing at infinity, we present its decomposition into subsets with respect to the behavior of special characteristics η (Ψ;•) and μ(Ψ;•) of these functions. We study geometric and analytic properties of the elements of the subsets obtained, which are necessary for the investigation of problems of the theory of approximation for classes of convolutions.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. A. I. Stepanets, “The convergence rate of Fourier series on the classes of\(\bar \psi \),”Ukr. Mat. Zh.,49, No. 8, 1069–1113 (1997).

    Article  MATH  MathSciNet  Google Scholar 

  2. A. I. Stepanets,Classification and Approximation of Periodic Functions [in Russian], Naukova Dumka, Kiev (1987).

    MATH  Google Scholar 

Download references

Authors

Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 5, pp. 688–702, May, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stepanets, A.I. Several statements for convex functions. Ukr Math J 51, 764–780 (1999). https://doi.org/10.1007/BF02591710

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02591710

Keywords

Navigation