On \((E,1)(C,1)\) summability of Fourier series and its conjugate series. (English) Zbl 1268.42012
Summary: Several researchers like A. N. Singh, S. P. Khare, M. L. Mittal and R. Kumar, U. N. Singh and V. S. Singh, G. S. Pandey and B. L. Jadia have studied \((N,p_{n}),(N,p,q)\), almost \((N,p,q)\) and matrix summability methods for Fourier series and its conjugate series using different conditions. But nothing seems to have been done so far to study \((E,1)(C,1)\) product summability of Fourier series and its conjugate series. Therefore, in this paper, two theorems on \({(E,1)(C,1)}\) summability of Fourier series and its conjugate series under a general condition are proved.
MSC:
42B05 | Fourier series and coefficients in several variables |
42B08 | Summability in several variables |