论文信息 - Absolute summability of a fourier series and its derived series by a product method

Absolute summability of a fourier series and its derived series by a product method

Let Σan be a given infinite series with the sequence of partial sums {Sn}. Let {Pn} be a sequence of constants, real or complex, and let us write Pn = p0 + p1 + … + pn; P-1 = P-1 = 0.

H. P. Dikshit

[1] C. Rees,et al. On the absolute Nörlund summability of a Fourier series , 1968 .

[2] H. P. Dikshit. Absolute summability of a Fourier series by Nörlund means , 1967 .

[3] T. Pati. On the absolute summability of Fourier series by Nörlund means , 1965 .

[4] B. Kwee. Absolute regularity of the Nörlund mean , 1965, Journal of the Australian Mathematical Society.

[5] H. Hirokawa. On the absolute Cesàro summability of Fourier series , 1962 .

[6] M. Astrachan. Studies in the summability of Fourier series by Nörlund means , 1936 .

[7] Florence M. Mears. Some multiplication theorems for the Nörlund mean , 1935 .

[8] E. Hille,et al. On the Summability of Fourier Series. , 1928, Proceedings of the National Academy of Sciences of the United States of America.

[9] H. P. Dikshit. On the absolute Nörlund summability of a Fourier series and its conjugate series , 1964 .

[10] J. Hyslop. On the Absolute Summability of the Successively Derived Series of a Fourier Series and its Allied Series , 1940 .