Geometric properties of the Lupaş $q$-transform

The Lupas q-transform emerges in the study of the limit q-Lupas operator. This transform is closely connected to the theory of positive linear operators of approximation theory, the q-boson operator calculus, the methods of summation of divergent series, and other areas. The analytical and approxima...

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Bibliographic Details
Published in:Banach journal of mathematical analysis Vol. 8; no. 2; pp. 139 - 145
Main Author: Ostrovska, Sofiya
Format: Journal Article
Language:English
Published: Durham Nature Publishing Group 01.01.2014
Subjects:
Approximation
Calculus
Linear operators
Mathematical analysis
Operators
Transforms
ISSN:1735-8787, 1735-8787
Online Access:Get full text
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Summary:The Lupas q-transform emerges in the study of the limit q-Lupas operator. This transform is closely connected to the theory of positive linear operators of approximation theory, the q-boson operator calculus, the methods of summation of divergent series, and other areas. The analytical and approximation properties of Λq have already been examined. In this paper, some properties of the Lupas q-transform related to continuous linear operators in normed linear spaces are investigated.
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ISSN:1735-8787
1735-8787
DOI:10.15352/bjma/1396640059