Summation methods applied to Voronovskaya-type theorems for the partial sums of Fourier series and for Fejér operators

In: Mathematica Slovaca, vol. 66, no. 1

Bucurel Minea - Radu Păltănea

Details:

Year, pages: 2016, 235 - 244

Keywords:

partial sums of Fourier series, Fejér operators, Voronovskaya theorem, Cesáro summations, the method of summation of Bosanquet and Linfoot, conjugate Fourier series

DOI: https://doi.org/10.1515/ms-2015-0131

About article:

We obtain Voronovskaya-type theorems for the partial sums of Fourier series using the second order Cesáro method of summation. Then we obtain two versions of Voronovskaya-type theorems for Fejér operators and finally we deduce an integral identity.

How to cite:

ISO 690:

Minea, B., Păltănea, R. 2016. Summation methods applied to Voronovskaya-type theorems for the partial sums of Fourier series and for Fejér operators. In Mathematica Slovaca, vol. 66, no.1, pp. 235-244. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0131

APA:

Minea, B., Păltănea, R. (2016). Summation methods applied to Voronovskaya-type theorems for the partial sums of Fourier series and for Fejér operators. Mathematica Slovaca, 66(1), 235-244. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0131

About edition:

Published: 1. 2. 2016