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- W2032078403 abstract "Let T and A be two nonnegative regular summability matrices and W ( T , p )∩ l ∞ and c A ( b ) denote the spaces of all bounded strongly T -summable sequences with index p >0, and bounded summability domain of A , respectively. In this paper we show, among other things, that χ N is a multiplier from W ( T , p )∩ l ∞ into c A ( b ) if and only if any subset K of positive integers that has T -density zero implies that K has A -density zero. These results are used to characterize the A -statistical comparisons for both bounded as well as arbitrary sequences. Using the concept of A -statistical Tauberian rate, we also show that χ N is not a multiplier from W ( T , p )∩ l ∞ into c A ( b ) that leads to a Steinhaus type result." @default.
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- W2032078403 date "2003-02-01" @default.
- W2032078403 modified "2023-10-18" @default.
- W2032078403 title "Strong and A-statistical comparisons for sequences" @default.
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- W2032078403 doi "https://doi.org/10.1016/s0022-247x(02)00456-0" @default.
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