On the convergence and summability of a series associated with the derived Fourier series

On the Hausdorff summability of series associated with a Fourier and its allied series

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Logarithmic Summability of Fourier Series

A set of regular summations logarithmic methods is introduced. This set includes Riesz and Nörlund logarithmic methods as limit cases. The application to logarithmic summability of Fourier series of continuous and integrable functions are given. The kernels of these logarithmic methods for trigonometric system are estimated.

Generalized matrix summability of a conjugate derived Fourier series

The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In this paper, we propose to use a more general matrix method to obtain necessary and sufficient conditions to sum the conjugate derived Fourier series.

On the Summability of the Differentiated Fourier Series

a cross-comparative dtudy between two textbook series in terms of the presentation of politeness

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