Demirci, KamilKhan, M. KazımOrhan, Cihan2020-06-252020-06-252003Demirci, K., Khan, M.K., & Orhan, C. (2003). Strong and A-statistical comparisons for sequences. Journal of Mathematical Analysis and Applications, 278(1), 27-33.0022-247X1096-0813https://doi.org/10.1016/S0022-247X(02)00456-0https://hdl.handle.net/20.500.12587/3167Demirci, Kamil/0000-0002-5976-9768Let T and A be two nonnegative regular summability matrices and W(T, p) boolean AND l(infinity) 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 chi(N) is a multiplier from W (T, p) boolean AND l(infinity) 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 chi(N) is not a multiplier from W (T, p) boolean AND l(infinity) into c(A) (b) that leads to a Steinhaus type result. (C) 2003 Elsevier Science (USA). All rights reserved.eninfo:eu-repo/semantics/openAccessArticle2781273310.1016/S0022-247X(02)00456-02-s2.0-0037308918Q2WOS:000182021800003Q2