Norm inequalities of Čebyšev type for power series in Banach algebras

DOI10.1186/1029-242X-2014-294zbMath1322.47025OpenAlexW2128835919WikidataQ59321272 ScholiaQ59321272MaRDI QIDQ2262859

Mihail Megan, Sever Silvestru Dragomir, Marius V. Boldea, Constantin Buşe

Publication date: 16 March 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-294

zbMATH Keywords

exponential functionpower seriesBanach algebrasnorm inequalitiesresolvent functionChebyshev type difference

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) General theory of linear operators (47A99)

Related Items (10)

Further inequalities for sequences and power series of operators in Hilbert spaces via Hermitian forms ⋮ Norm inequalities for the generalised commutator in Banach algebras ⋮ Some inequalities for analytic functions in Banach algebras ⋮ Inequalities of Čebyšev type for Lipschitzian functions in Banach algebras ⋮ Hermitian forms and inequalities for sequences and power series of operators in Hilbert spaces ⋮ Norm inequalities for the noncommutative Čebyšev functional in Banach algebras ⋮ Inequalities for Chebyshev Functional in Banach Algebras ⋮ Two-point and \(n\)th derivative norm inequalities for analytic functions in Banach algebras ⋮ Some norm integral inequalities for analytic functions in Banach algebras ⋮ LIPSCHITZ-TYPE INEQUALITIES FOR ANALYTIC FUNCTIONS IN BANACH ALGEBRAS

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