WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Matrix Transforms into the Subsets of Maddox Spaces Defined by Speed
Authors: ,
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Abstract: Let λ and μ be monotonically increasing strictly positive sequences, i.e., the speeds of convergence. Earlier the notions of boundedness, convergence, and zero-convergence with the speed are known. In this paper, the notions of paranormed boundedness, convergence, and zero-convergence with speed have been defined. The matrix transforms from the sets of bounded, convergent, and zero-convergent sequences with the speed λ into the sets of paranormed bounded, paranormed convergent, and paranormed zero-convergent sequences with the speed μ are studied.
Keywords:
Matrix transforms, paranormed spaces, Maddox spaces, boundedness with speed, convergence with speed, paranormed boundedness with speed, paranormed convergence with speed, paranormed zero-convergence with speed
Pages: 82-89
DOI: 10.37394/23206.2025.24.11