Abstract
In this paper, theorems concerning $\left|\bar{N},p_{n},\theta_{n}\right|_{k}$ factors of Fourier series and its conjugate series are studied. The presented results provide with improvements as well as generalizations of some known results.
Highlights
Then the conjugate series of the Fourier series isWe can write |R, λn, 1| for |N , pn|, where Pn = λn, and 0 < λ1
By using the result in [7], Mazhar [5] has proved the following theorems concerning absolute summability of conjugate series
Many studies have been done for absolute summability factors of infinite series and Fourier series by using different summability methods
Summary
We can write |R, λn, 1| for |N , pn|, where Pn = λn, and 0 < λ1 < ... Many studies have been done for absolute summability factors of infinite series and Fourier series by using different summability methods (see [1]- [2], [6], [8]- [11], [13]- [17]). In this paper, we obtained new generalizations of absolute summability factors of Fourier series and its conjugate series. By using the result in [7], Mazhar [5] has proved the following theorems concerning absolute summability of conjugate series
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