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On some
properties of the solution set of one of Wilker's
inequalities for complex numbers
Aarón Guillén-Villalobos and Jorge E. Macías-Díaz
Vol. 14 (2021), No. 3, 519–530
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Abstract |
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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. |
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Keywords
Wilker-type inequalities, extension to complex numbers,
analytical properties of the solution set
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Mathematical Subject Classification
Primary: 30A10
Secondary: 26D05
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Milestones
Received: 29 December 2020
Revised: 19 March 2021
Accepted: 29 March 2021
Published: 17 July 2021
Communicated by H. M. Srivastava
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Authors |
| Aarón Guillén-Villalobos | |
| Centro de Ciencias Básicas Universidad Autónoma de Aguascalientes Aguascalientes Mexico |
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| Jorge E. Macías-Díaz | |
| Departamento de Matemáticas y
Física Universidad Autónoma de Aguascalientes Ciudad Universitaria Aguascalientes Mexico |
Department of Mathematics School of Digital Technologies Tallinn University Tallinn Estonia |
