Summary
In this paper, the author proves a theorem on the absoluteCesàro summability of factoredFourier series. His theorem extends a theorem ofMatsumoto and generalizes a theorem ofPrasad andBhatt.
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References
M. T. Cheng,Summability factors of Fourier series at a given point, « Duke Mathematical Journal », 15 (1948), pp. 29–36.
K. Matsumoto,On absolute Cesàro summability of a series related to a Fourier series, « Tôhoku Mathematical Journal », 8 (1956), pp. 205–222.
B. N. Prasad andS. N. Bhatt,The summability factors of a Fourier series, « Duke Mathematical Journal », 24 (1957), pp. 103–117.
E. C. Titchmarsh,The Theory of Functions, (1952), Oxford.
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Mazhar, S.M. A theorem on the absolute Cesàro summability of factored fourier series. Annali di Matematica 59, 11–25 (1962). https://doi.org/10.1007/BF02411722
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DOI: https://doi.org/10.1007/BF02411722