Skip to main content
SpringerLink
Log in

Voronovskaya-Type Estimates for Mellin Convolution Operators

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract.

In this paper we give some Voronovskaya approximation formulae for a class of Mellin convolution operators of type

$$ (T_w f)(s) = {\int^{+\infty}_{0}} K_w(ts^{-1},f(t))\frac{dt}{t}. $$

We discuss separately the linear and nonlinear cases. Moreover we furnish various applications to some classical operators.

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. Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli, 1, I-06123, Perugia, Italy

    Carlo Bardaro & Ilaria Mantellini

Authors
  1. Carlo Bardaro
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ilaria Mantellini
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Carlo Bardaro.

Additional information

Received: May, 12 2006. Revised: November, 16 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bardaro, C., Mantellini, I. Voronovskaya-Type Estimates for Mellin Convolution Operators. Result. Math. 50, 1–16 (2007). https://doi.org/10.1007/s00025-006-0231-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00025-006-0231-3

Mathematics Subject Classification (2000).

Keywords.

Search

Navigation