Hilbert Matrix and Difference Operator of Order m

2016/09/06 by Murat Kirişci, Kirişci, Murat, Harun Polat +1 · 1 citation
Mathematics · #15A22 #15B05 #46A45 #47A15 (Primary) #68U10 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:15A22 #msc:15B05 #msc:46A45 #msc:47A15 #msc:68U10

paper · pdf · doi:10.48550/arxiv.1609.01543

14 pages, 2 figures, 4 table. arXiv admin note: text overlap with arXiv:1602.04103

arxiv created 2016/09/06 · arxiv updated 2016/09/07

Abstract

In this paper, firstly, some applications of Hilbert matrix in image processing and cryptology are mentioned and an algorithm related to the Hilbert view of a digital image is given. In section 2, the new matrix domains are constructed and some properties are investigated. Furthermore, dual spaces of new matrix domains are computed and matrix transformations are characterized. In last section, examples of transformations of new spaces are given.

Citations

• The Method of almost convergence with operator of the form fractional order and applications

Cited by

• The Application Domain of Infinite Matrices on Classical Sequence Spaces

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