Summability Factors Of Fourier Series Research Articles

Approximation and simulation of signals via harmonic Banach summable factors of Fourier series

It is well known that the Fourier series is not summable by harmonic means almost everywhere. This paper aimed to introduce the harmonic Banach product summability factors of Fourier series and conjugate Fourier series in order to establish two new approximation theorems. Moreover, some illustrative examples are considered to obtain the sum of certain oscillatory and non‐oscillatory sequences and demonstrated that their convergence are well behaved under the proposed mean. Also, the findings are validated and simulated through MATLAB programming.

A variation on absolute weighted mean summability factors of Fourier Series and its conjugate series

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.

Localization property on absolute matrix summability factors of Fourier series

In this paper, a known theorem dealing with |N¯,pn|k summability methods of Fourier series is generalized to |A,θn|k summability method by taking normal matrices.

Absolute Matrix Summability Factors of Fourier Series with Quasi-f-Power Increasing Sequences

In this paper, we have generalized a main theorem dealing with quasi-f-power increasing sequence to |A,θn|k summability method by using Fourier series.

On the Absolute Matrix Summability Factors of Fourier Series

In this paper, two known theorems on |N, p n | k summability methods of Fourier series have been generalized for |A, p n | k summability factors of Fourier series by using different matrix transformations. New results have been obtained dealing with some other summability methods.

On Riesz summability factors of Fourier series

In this paper, a main theorem dealing with |N̄,pn|k summability method has been generalized for φ−|N̄,pn;δ|k summability by using different and general summability factors of Fourier series.

Absolute Riesz summability factors of Fourier series

Absolute Riesz summability factors of Fourier series

On the absolute Nörlund summability factors of Fourier series

On the absolute Nörlund summability factors of Fourier series

On absolute Riesz summability factors of Fourier series

On absolute Riesz summability factors of Fourier series

On the absolute Nörlund summability factors of Fourier series

The object of this paper is to give a general theorem which implies Izumi's Theorem and Kanno's Theorem on the absolute Nörlund summability factors of Fourier series and deduce to several known and new results from the theorem.

On |C,1| Summability Factors of Fourier Series

On |C,1| Summability Factors of Fourier Series

Absolute summability factors of Fourier series

1. Let f(t) be a perodic function with period 2π and integrable in the sense of Lebesgue over (–π, π), then its Fourier series is

On |C, 1; γ|k summability factors of Fourier series and its conjugate series

On |C, 1; γ|k summability factors of Fourier series and its conjugate series

OnC,1 summability factors of Fourier series at a given point

On<i>C,</i>1 summability factors of Fourier series at a given point

On $C,\,\alpha_{k}$ summability factors of Fourier series

On $C,\,\alpha_{k}$ summability factors of Fourier series

On $\vert C,1\vert_{k}$ summability factors of Fourier series

On $\vert C,1\vert_{k}$ summability factors of Fourier series

On the absolute Cesàro summability factors of Fourier series

On the absolute Cesàro summability factors of Fourier series

Summability factors of Fourier series

Summability factors of Fourier series

Summability factors of Fourier series at a given point

Summability factors of Fourier series at a given point

Summability factors of Fourier series at a given point

Summability factors of Fourier series at a given point