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.
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References

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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).

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Published

December 31, 2014

Issue

Vol. 5 No. 3 (2014)

Section

Research Article

License

Creative Commons Licence 4.0 by

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