Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-26T17:27:44.806Z Has data issue: false hasContentIssue false
  • English
  • Français

Lagrange's theorem for weak functions

Published online by Cambridge University Press:  26 February 2010

D. S. Jones
D. S. Jones
Affiliation:
Queen's College, Dundee.
Get access

Summary

In this paper is derived Lagrange's expansion with remainder for a weak function whose argument satisfies an implicit relation. A necessary and sufficient condition is given for the associated infinite series expansion.

Type
Research Article
Information
Mathematika , Volume 13 , Issue 2 , December 1966 , pp. 158 - 171
Copyright
Copyright © University College London 1966

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Chaundy, T., The differential calculus (Oxford University Press, 1935).Google Scholar
2. Whittaker, E. T. and Watson, Q. N., Modern analysis (Cambridge University Press, 1927).Google Scholar
3. Temple, G., Proc. Roy. Soc, 276A (1963), 149.Google Scholar
4. Lighthill, M. J., Fourier analysis and generalised functions (Cambridge University Press, 1968).Google Scholar
5. Schwartz, L., Les distributions (Hermann, 1957).Google Scholar
6. Jones, D. S., Generalised functions (McGraw-Hill, 1966).Google Scholar