Cesaro Summability of Fourier Series
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Abstract
Let f(x) be a periodic function with period 2π and integrable in the sense of Lebesgue over ( - π, π). Let its Fourier series be given by f(x) ~ 1/2 a0 + Σ (an cos nx + bn sin nx).Downloads
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Published
1974-12-01
How to Cite
Gupta, B. L. (1974). Cesaro Summability of Fourier Series. The Journal of the Indian Mathematical Society, 38(1-4), 263–270. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16700
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Copyright (c) 1974 B. L. Gupta
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
M. IZUMI AND S. IZUMI, Some convergence criteria for Fourier series, Jour. Indian Math. Soc. 32, (1968) 355-379.
S. IZUMI, Notes on Fourier Analysis (XVI) Tohoku Math. Jour. (1949) 145-147.
H. LEBESGUE, Recherches Sur la convergence de series de Fourier, Math. Ann. 61 (1903) 251-280.