کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4635836 | 1340715 | 2007 | 6 صفحه PDF | دانلود رایگان |

In continuation of a recent work by Mittal [M.L. Mittal, On strong Nörlund summability of Fourier series, J. Math. Anal. Appl. 314 (2006),75–84], the present authors obtain a sufficient condition for the summability [N,pn(1),2] of the conjugate Fourier series. In conjunction with the known Tauberian theorem on the strong Nörlund summability, which was also considered earlier by Mittal [M.L. Mittal, A Tauberian theorem on strong Nörlund summability, J. Indian Math. Soc. (N.S.) 44 (1980), 369–377], our result gives a sufficient condition for the summability [C, 1 , 2] of the conjugate Fourier series. Our main theorem generalizes the results given earlier by Prasad [G. Prasad, On Nörlund Summability of Fourier Series, Ph.D. thesis, University of Roorkee, Roorkee, 1967] and Singh [U.N. Singh, On the strong summability of a Fourier series and its conjugate series, Proc. Nat. Inst. Sci. India Part A 13 (1947), 319–325].
Journal: Applied Mathematics and Computation - Volume 187, Issue 1, 1 April 2007, Pages 326–331