Inequalities for Chebyshev functional in Banach algebras

S. S. Dragomir; M. V. Boldea; M. Megan

doi:10.4067/S0719-06462017000100004

Authors

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

DOI:

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

Keywords:

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

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.