Yesilkayagil, MedineBasar, Feyzi2024-08-042024-08-0420200126-67052180-4206https://doi.org/10.1007/s40840-019-00829-2https://hdl.handle.net/11616/98953In this study, as the domain of four-dimensional backward difference matrix in the space Lu(t), we introduce the complete paranormed space BV(t) of bounded variation double sequences and examine some properties of that space. Also, we determine the gamma-dual and beta(theta)-dual of the space BV(t). Finally, we characterize the classes (BV(t):Mu), (BV(t):C theta) and (Lu(t):mu) with mu is an element of{BS,CS theta,Mu(Delta),C theta(Delta)}, where Mu(Delta) and C theta(Delta) denote the spaces of all double sequences whose Delta-transforms are in the spaces Mu and C theta, respectively.eninfo:eu-repo/semantics/closedAccessSummability theoryDouble sequencesDouble seriesAlphabeta and gamma dualsMatrix domain of four-dimensional matricesMatrix transformationsArticle4332701271210.1007/s40840-019-00829-22-s2.0-85072159709Q2WOS:000528770100039Q1