A note on Hardy's inequality

作者：Chu, Yu Ming^*; Xu, Qian; Zhang, Xiao Ming

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014, 2014(1): 271.

DOI：10.1186/1029-242X-2014-271

• Hardy's inequality
• monotonicity
• convergence

In this paper, we prove that the inequality Sigma(infinity)(n=1) (1/n Sigma k=1n a1) <= (p/p-1)(p) Sigma t=1 infinity (1 - d(p)/n-1/2-1/p)sigma(p)(n) holds for p <= - 1 and d(p) = (1 + (2(-1/p) - 1p)[8(1 +2(-1/p) +2] if a(n) > 0 (n=1, 2, ...), and Sigma n=1 infinity a(n)(0) < + infinity.

• 出版日期2014-7-23
• 单位湖南城市学院; 浙江广播电视大学