Capan, HusamettinBasar, Feyzi2024-08-042024-08-0420181225-69510454-8124https://doi.org/10.5666/KMJ.2018.58.2.271https://hdl.handle.net/11616/98379Let 0 < q < infinity. In this study, we introduce the spaces BVq and LSq of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix Delta and summation matrix S in the space L-q of absolutely q-summable double sequences, respectively. Also, we determine their alpha- and beta-duals and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q <= 1.eninfo:eu-repo/semantics/closedAccesssummability theorydouble sequencedifference sequence spacedouble seriesalpha-dualbeta-dualmatrix domain of 4-dimensional matricesmatrix transformationsArticle58227128910.5666/KMJ.2018.58.2.2712-s2.0-85049788955Q3WOS:000447069400006N/A