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language
eng
Author
Silvestru Sever Dragomir
Marius Valentin Boldea
Mihail Megan
Description
Some Grüss-Lupas type inequalities for p-norms of sequences in Banach algebras are obtained. Moreover, if f(λ)=Σ^^∞__<n=0>α_nλ^n is a function defined by power series with complex coefficients and convergent on the open disk D(0,R)⊂C, R > 0 and x,y ∈ B, a Banach algebra, with xy = yx, then we also establish some new upper bounds for the norm of the Cebysev type difference
f(λ)f(λxy) - f(λx)f(λy), λ ∈ D(0,R).
These results build upon the earlier results obtained by the authors. Applications for some fundamental functions such as the exponential function and the resolvent function are provided as well.
Subject
Banach algebras
Power series
Exponential function
Resolvent function
Norm inequalities
Journal Title
島根大学総合理工学研究科紀要. シリーズB
Volume
49
Start Page
15
End Page
34
ISSN
13427121
Published Date
2016-03
NCID
AA12638295
Publisher
島根大学総合理工学研究科
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering
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