Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-25T19:28:07.150Z Has data issue: false hasContentIssue false
  • English
  • Français

On the absolute summability by Borel's integral method of the derived Fourier series and its conjugate series

Published online by Cambridge University Press:  20 January 2009

R. M. Sharma
R. M. Sharma
Affiliation:
Government College, Satna (M.P.)India
Rights & Permissions [Opens in a new window]

Summary

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.

Mohanty (1) and (3) considered the absolute summability of conjugate series and Fourier series by Borel's integral method by proving the following theorems.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 15 , Issue 4 , December 1967 , pp. 279 - 284
Copyright
Copyright © Edinburgh Mathematical Society 1967

References

REFERENCES

(1) Mohanty, R., The absolute summability by Borel's integral method of the allied series of a Fourier series, J. London Math. Soc. 38 (1963), 381–384.Google Scholar
(2) Hardy, G. H., Divergent Series (Oxford, 1949), p. 184.Google Scholar
(3) Mohanty, R., On the summation of Fourier series by Borel's absolute integral method, J. London Math. Soc. 38 (1963), 375–380.Google Scholar