Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients

Mathematical Communications

Tomovski, Ž.¹ 

关键词: δ-quasi-monotone sequence;    cosine trigonometric series;    Fourier series;    Dirichlet kernel;    Abels transformation;    Holder inequality;   

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 】

ForacosinetrigonometricserieswithcoefficientsintheclassS_p(δ),1lt;p≤2,thenecessaryandsufficientconditionforL^1-convergenceisobtained.

【 授权许可】

Unknown