Abstract
This paper reports a result for proving a triangular matrix summability of a factored Fourier series by extending the theorem on Nörlund summability of a factored Fourier series att =x when ϕ(t)∈B.V in (0, π) due to Singh [4] (Indian J. Math. 9 227–236). The result generalizes the theorem of Varshney [5] (Proc. Am. Math. Soc. 10, 784–789) and that of Singh.
Similar content being viewed by others
References
Jena S C and Padhi P, Absolute matrix summability of the allied series of a Fourier series,Proc. Indian Acad. Sci. (Math. Sci.) 98 (1988) 43–52
Mc Fadden L, Absolute Nörlund summability,Duke Math. J. 9 (1942) 168–207
Nandkishor and Hotta G C, On absolute matrix summability of Fourier series,Indian J. Math. 13 (1971)99–110
Singh T, The absolute Nörlund summability of a factored Fourier series,Indian J. Math. 9 (1967) 227–236
Varshney O P, On the absolute harmonic summability of series related to Fourier series,Proc. Am. Math. Soc. 10 (1959) 784–789
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jena, S.C., Mishra, R. & Swain, S. Matrix summability of a factored Fourier series. Proc. Indian Acad. Sci. (Math. Sci.) 103, 135–140 (1993). https://doi.org/10.1007/BF02837235
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02837235