Patterson, Richard F.Savaş, Ekrem2015-09-112015-09-112011Patterson, R., & Savaş, E. (2011). Double Sequence Transformations That Guarantee A Given Rate Of P-Convergence. Filomat, 25(2), 129–135.0354-5180https://hdl.handle.net/11467/1172https://doi.org/10.2298/FIL1102129PIn this paper the following sequence space is presented. Let [t] be a positive double sequence and define the sequence space Omega '' (t) = {complex sequences x : x(k,l) = O(t(k,l))}. The set of geometrically dominated double sequences is defined as G ''-U(r,s is an element of(0,1))G(r,s) where G (r,s) - {complex sequences x : x(k,l) = O(r(k)s(l))} for each r,s in the interval (0, 1). Using this definition, four dimensional matrix characterizations of l(infinity,infinity), c '', and c(0)'' into G '' and into Omega ''(t) are presented. In addition to these definitions and characterizations it should be noted that this ensure a rate of converges of at least as fast as [t]. Other natural implications will also be presented.eninfo:eu-repo/semantics/openAccessDouble SequencesGeometrically Dominated Double SequencesPringsheim ConvergentRate Of ConvergenceArticle252129135Q3WOS:000288756300011Q32-s2.0-7996076008510.2298/FIL1102129P