NORM SUMMABILITY OF NOERLUND LOGARITHMIC MEANS ON UNBOUNDED VILENKIN GROUPS

• 作 者: Blahota G. Gat
• 机 构: InstituteofMathematicsandComputerScience
• 出 处: 分析理论与应用：英文刊
• 发表日期: 2008年1期
• 关键词: 对数 可求和性 群 计算方法 unbounded Vilenkin group Fejer means logarithmic means norm co
• 基金项目: The first author is supported by the B6k6sy Postdoctoral fellowship of the Hungarian Ministry of Education B6 91/2003, the second author is supported by the Hungarian National Foundation for Scientifi

The (Nrlund) logarithmic means of the Fourier series is:t_nf =1/l_n (sum from k=1 to n-1) S_kf/n-k, where l_n =(sum from k=1 to n-1) 1/k . In general, the Fejér (C,1) means have better properties than the logarithmic ones. We compare them and show t