Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-28T03:18:35.888Z Has data issue: false hasContentIssue false
  • English
  • Français

On Fractional Integrals Equivalent to a Constant

Published online by Cambridge University Press:  20 November 2018

K. L. Roberts
K. L. Roberts*
Affiliation:
Department of Mathematics, University of Western Ontario London, Ontario N6A 5B9
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The paper is concerned with the Liouville-Riemann and Weyl fractional integrals. Necessary and sufficient conditions are obtained for a function to have a fractional integral which is equivalent to a constant.

Keywords

26A33
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 3 , 01 September 1982 , pp. 335 - 338
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. Isaacs, G. L., M. Riesz's mean value theorem for infinite integrals, J. London Math. Soc, 28 (1953), 171-176.Google Scholar
2. Rogosinski, W. W., Volume and Integral, Second Edition, Oliver and Boyd, Edinburgh, 1962.Google Scholar
3. Titchmarsh, E. C., Introduction to the theory of Fourier integrals, Second Edition, Oxford University Press, 1948.Google Scholar
4. Zaanen, A. C., Integration, Second Edition, North-Holland, Amsterdam, 1967.Google Scholar