On the convergence (upper boundness) of trigonometric series

Mathematical Communications

Krasniqi, Xhevat Z.¹ 

[1] Department of Mathematics and Computer Sciences, University of Prishtina,Prishtinë-10 000, Republic of Kosovo

关键词: Fourier coefficients;    convergence of Fourier series;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

Inthispaperweprovethatthecondition$$\sum_{k=\left[\frac{n}{2}\right]}^{2n}\frac{k^{r}\lambda_{k}}{|n-k|+1}=o(1)\,\left(=O(1)\right),$$for$r=0,1,2,\dots,$isnecessaryfortheconvergenceofthe$r-th$derivativeofthe...

【 授权许可】

Unknown