Inequalities for Chebyshev Functional in Banach Algebras

 

S. S. Dragomir¹, M. V. Boldea² and M. Megan³

¹ 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.

² Mathematics and Statistics, Banat University of Agricultural Sciences and Veterinary Medicine Timişoara, 119 Calea Aradului, 300645, Timişoara, România

³ Department of Mathematics, West University of Timişoara, B-dul V. Pârvan 4, 1900-Timişoara, România

sever.dragomir@vu.edu.au, http://rgmia.org/dragomir

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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 and Phrases: Banach algebras, Power series, Exponential function, Resolvent function, Norm inequalities.

2010 AMS Mathematics Subject Classification: 47A63; 47A99.

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RESUMEN

Usando algunas identidades para sumas dobles, encontramos algunas nuevas desigualdades para el funcional de Chebyshev en álgebras de Banach. También entregamos algunos ejemplos para las funciones exponencial y resolvente en álgebras de Banach.

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