Geodesic
On certain difference operators and their explicitly inverses
Filomat, Tome 35 (2021) no. 8, p. 2517

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DOI

In recent years, a number of extensive applications of difference operators through sequence spaces have been developed. The most crucial application is being used in the study of functional analysis, operator theory and matrix theory. In this context, the present article makes an attempt to provide a survey on various difference operators and unify them by introducing two m + 1-th sequential band matrices. The purpose of this work is also to extend the determination of their inverses and derive an adaptive recursive free formula for matrix inversions. We provide two relevant formulas for inversion of m + 1-th sequential lower and upper band matrices. Subsequently, the idea is being applied to develop a new explicitly formula for matrix inversion
DOI : 10.2298/FIL2108517B
Classification : 40A05, 46A35
Keywords: Sequence spaces, Difference sequence spaces, Difference operators, Sequential band matrices 
Pinakadhar Baliarsingh; Laxmipriya Nayak. On certain difference operators and their explicitly inverses. Filomat, Tome 35 (2021) no. 8, p. 2517 . doi: 10.2298/FIL2108517B
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     title = {On certain difference operators and their explicitly inverses},
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     doi = {10.2298/FIL2108517B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108517B/}
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