2021 On some properties of the solution set of one of Wilker's inequalities for complex numbers
Aarón Guillén-Villalobos, Jorge E. Macías-Díaz
Involve 14(3): 519-530 (2021). DOI: 10.2140/involve.2021.14.519

Abstract

We state and prove properties of the solution set of the extension of one of Wilker’s inequalities to the field of complex numbers. Wilker’s inequalities are inequalities for real numbers which involve trigonometric or hyperbolic functions. We will consider one of those inequalities on the set of complex numbers, and some important analytical properties of the solution set will be proved. Some auxiliary results will be established along the way.

Citation

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Aarón Guillén-Villalobos. Jorge E. Macías-Díaz. "On some properties of the solution set of one of Wilker's inequalities for complex numbers." Involve 14 (3) 519 - 530, 2021. https://doi.org/10.2140/involve.2021.14.519

Information

Received: 29 December 2020; Accepted: 29 March 2021; Published: 2021
First available in Project Euclid: 30 July 2021

MathSciNet: MR4289683
Digital Object Identifier: 10.2140/involve.2021.14.519

Subjects:
Primary: 30A10
Secondary: 26D05

Keywords: analytical properties of the solution set , extension to complex numbers , Wilker-type inequalities

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.14 • No. 3 • 2021
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