Inequalities for Chebyshev functional in Banach algebras

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DOI:

https://doi.org/10.4067/S0719-06462017000100004

Abstract

By utilizing some identities for double sums, some new inequalities for the Chebyshev functional in Banach algebras are given. Some examples for the exponential and resolvent functions on Banach algebras are also provided.

Keywords

Banach algebras , Power series , Exponential function , Resolvent function , Norm inequalities

S. S. Dragomir Mathematics, School of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia. School of Computational & Applied Mathematics, University of the Witwatersrand, . Private Bag 3, Johannesburg 2050, South Africa.
M. V. Boldea Mathematics and Statistics, Banat University of Agricultural Sciences and Veterinary Medicine TimiÅŸoara, 119 Calea Aradului, 300645, TimiÅŸoara, România
M. Megan Department of Mathematics, West University of TimiÅŸoara, B-dul V. Pârvan 4, 1900-TimiÅŸoara, România

Pages: 53-77
Date Published: 2017-03-01
Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal

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Published

2017-03-01

How to Cite

[1]

S. S. Dragomir, M. V. Boldea, and M. Megan, “Inequalities for Chebyshev functional in Banach algebras”, CUBO, vol. 19, no. 1, pp. 53–77, Mar. 2017.

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Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal

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Articles

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Georgi Raikov, Spectral Shift Function for Schr¨odinger Operators in Constant Magnetic Fields , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
Anthony Sofo, Families of skew linear harmonic Euler sums involving some parameters , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
Mekki Hammi, Mohamed Ali Hammami, Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
Volodymyr Sushch, Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
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