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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J. Marshall Ash, Uniqueness for higher dimensional trigonometric series , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
Rubén A. Hidalgo, The structure of extended function groups , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
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