The Joint Approximation (ψ, β) — integrals by Fejer’S sums in the metric Lp

• Date: 2019
• Main Authors: Sorych, Viktor, Sorych, Nina
• Format: Article
• Language: English
• Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2019
• Online Access: http://mcm-math.kpnu.edu.ua/article/view/188991
• Journal Title: Mathematical and computer modelling. Series: Physical and mathematical sciences

We know, that any summable periodic function is answered its Fourier’s series. Therefore, it is naturally to approach it by trigonometric polynomials, that are the part’s sums of their series, they are named the Fourier’s sums. Sometimes the Fourier’s sums very slowly approach to it, sometimes they...