Skip to main content
SpringerLink
Log in

Baire*1, Baire 1 and Zahorski properties of higher order derivatives

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

Summary

It is proved that if f is continuous and the approximate symmetric d.l.V.P. derivatives Dan-2f of f of order n-2 exist in (a,b) then under a certain smoothness type condition on f, Dan-2f  is in Baire*1. Also Zahorski property and Denjoy property for the ordinary symmetric d.l.V.P. derivative Dnf are established under certain suitable conditions.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. University Teachers' co-op. Housing, Krishnapur Road, Burdwan 713104, West Bengal, India

    S. N. Mukhopadhyay

  2. Department of Mathematics, Visva-Bharati, Santiniketan 713235, West Bengal, India

    S. Ray

Authors
  1. S. N. Mukhopadhyay
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Ray
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mukhopadhyay, S., Ray, S. Baire*1, Baire 1 and Zahorski properties of higher order derivatives. Acta Math Hung 112, 285–305 (2006). https://doi.org/10.1007/s10474-006-0081-1

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10474-006-0081-1

Search

Navigation