Displaying similar documents to “The generalized Hardy operator with kernel and variable integral limits in Banach function spaces.”

Some mean convergence and complete convergence theorems for sequences of m -linearly negative quadrant dependent random variables

Yongfeng Wu, Andrew Rosalsky, Andrei Volodin (2013)

Applications of Mathematics

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The structure of linearly negative quadrant dependent random variables is extended by introducing the structure of m -linearly negative quadrant dependent random variables ( m = 1 , 2 , ). For a sequence of m -linearly negative quadrant dependent random variables { X n , n 1 } and 1 < p < 2 (resp. 1 p < 2 ), conditions are provided under which n - 1 / p k = 1 n ( X k - E X k ) 0 in L 1 (resp. in L p ). Moreover, for 1 p < 2 , conditions are provided under which n - 1 / p k = 1 n ( X k - E X k ) converges completely to 0 . The current work extends some results of Pyke and Root (1968) and it extends and...

On convergence for sequences of pairwise negatively quadrant dependent random variables

Yongfeng Wu, Guangjun Shen (2014)

Applications of Mathematics

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In this paper, some new results on complete convergence and complete moment convergence for sequences of pairwise negatively quadrant dependent random variables are presented. These results improve the corresponding theorems of S. X. Gan, P. Y. Chen (2008) and H. Y. Liang, C. Su (1999).