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On Degree of Approximation by Product Means of Conjugate Series of a Fourier Series
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On Degree of Approximation by Product Means of Conjugate Series of a Fourier Series

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Abstract:

In this paper a theorem on degree of approximation of a function f ∈ Lip(α, r) by product summability (E, q)(N, pn) of conjugate series of Fourier series associated with f has been established.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 4)
Pages:
5-11
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.4.5
Citation:
S.K. Paikray et al., "On Degree of Approximation by Product Means of Conjugate Series of a Fourier Series", The Bulletin of Society for Mathematical Services and Standards, Vol. 4, pp. 5-11, 2012
Online since:
December 2012
Authors:
S.K. Paikray, R.K. Jati, N.C. Sahoo, U.K. Misra
Keywords:
(E, q) (N, Pn) Product Mean, (E, q) Mean, (N, Pn) Mean, Conjugate of the Fourier Series, Degree of Approximation f ∈ Lip(α, r) Class of Function, Fourier Series, Lebesgue Integral
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Open Access

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This work is licensed under a
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References:

Hardy, G. H: Divergent series, First edition, Oxford University press 70(19).

Misra, U.K., Misra, M., Padhy, B.P. and Buxi, S. K: On degree of approximation by product means of conjugate series of Fourier series", International Jour. of Math. Sciences, and Engineering Applications, ISSN 0973 - 9424, Vol. 6 No. 122 (Jan. 2012), pp.363-370.

Nigam, H. K and Ajay Sharma: On degree of Approximation by product means, Ultra Scientist of Physical Sciences, Vol. 22 (3) M, 889-894, (2010).

Titchmarch, E. C: The theory of functions, oxford university press, p. pp.402-403(1939).

Zggmund , A : Trigonometric Series , second Edition , Vol. I , Cambridge University press , Cambridge , (1959).

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Cited By:

[1] T. Pradhan, S. Paikray, A. Das, H. Dutta, "On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, pn) summability means of conjugate Fourier series", Proyecciones (Antofagasta), Vol. 38, p. 981, 2019

DOI: https://doi.org/10.22199/issn.0717-6279-2019-05-0063