Geometric Properties of the Lupas <i>q</I>-transform
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Date
2014
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Tusi Mathematical Research Group
Open Access Color
BRONZE
Green Open Access
Yes
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Publicly Funded
No
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Average
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Abstract
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. Given q is an element of (0, 1), f is an element of C[0, 1], the Lupas q-transform of f is defined by: [GRAPHICS] where [GRAPHICS] The analytical and approximation properties of A(q) 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.
Description
Keywords
Lupas q-transform, Bernstein operator, continuous linear operator, isomorphic embedding, Bernstein operator, 46B20, 47B65, continuous linear operator, isomorphic embedding, Lupaş $q$-transform, 47A05, 47B38, Positive linear operators and order-bounded operators, Geometry and structure of normed linear spaces, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Linear operators on function spaces (general), Lupaş \(q\)-transform
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
1
Source
Banach Journal of Mathematical Analysis
Volume
8
Issue
2
Start Page
139
End Page
145
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CrossRef : 1
Scopus : 1
SCOPUS™ Citations
1
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1
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5
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