On The Gibbs Phenomenon for \(|N,p_n,q_n|\)-Summability Method

Authors

  • Aditya Kumar Raghuvanshi Department of Mathematics IFTM University Modradabad 244001

DOI:

https://doi.org/10.26713/cma.v5i3.251

Keywords:

Approximation, Convergence, Fourier series, \((C, \alpha)\) summability and \(|N, p_n, q_n|\)-summability method

Abstract

In this paper we have proved a theorem on the Gibbs phenomenon for \(|N,p_n,q_n|\)-summability method which gives some new results and generalizes some previous known results.

Downloads

Download data is not yet available.

References

D.J. Borwin, On product of sequences, J. of Lon. Moth. Soc. 33(1958).

H.P. Dikshit and A. Kumar, Absolute total effectiveness of $(N,p_n)$ means, I. Moth. Proc. Camb. Phil. Soc. (1975).

R.W. Hamming, Digital Filters, Printice-Hall, Englewood Cliffs, N.J. (1977).

E. Hille and J.D. Tamarkin, On the summability of Fourier series I, Trans. Amer. Math. Soc. 34 (1932).

K. Knoopp, Theory and application of infinite series, Blackie and Son Limited, London and Glasgow (1947).

S.N. Singh, On the Gibbs phenomenon for Nörlund method of summability, Carib J. Sci. Tech. 1 (2013).

Z. Zygmund, Trigonometric series, Camb. Uni. Press London (1968).

Downloads

Published

31-12-2014
CITATION

How to Cite

Raghuvanshi, A. K. (2014). On The Gibbs Phenomenon for \(|N,p_n,q_n|\)-Summability Method. Communications in Mathematics and Applications, 5(3), 111–118. https://doi.org/10.26713/cma.v5i3.251

Issue

Vol. 5 No. 3 (2014)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.