Patterson, Richard F.Savaş, Ekrem2020-11-212020-11-2120121385-1292https://doi.org/10.1007/s11117-011-0143-7https://hdl.handle.net/11467/3731This paper presents multidimensional characterizations of equivalence classes of double sequences. These characterizations will be analyzed by presenting theorems of the following type: If A is convergent preserving over {x ? S? 0 : x equivalent to b} then there exists a b? ? S? 0 such that b converges faster than b? and A is convergent preserving over {x ? S? 0 : x equivalent to b?} © 2011 Springer Basel AG.eninfo:eu-repo/semantics/closedAccessAsymptotically equivalentDivergent double sequencesP-convergentPringsheim limit pointArticle164739749Q4WOS:000310899300009Q22-s2.0-8486911141910.1007/s11117-011-0143-7