On generalized trigonometric functions with two parameters
Barkat Ali Bhayo, Matti Vuorinen
TL;DR
This paper explores generalized two-parameter trigonometric functions, establishing inequalities and proposing conjectures to deepen understanding of their properties and potential applications.
Contribution
It introduces new inequalities and conjectures for ($p,q$)-trigonometric functions, expanding the theoretical framework of generalized trigonometric functions.
Findings
Proved several inequalities for ($p,q$)-trigonometric functions
Presented new conjectures for further research
Extended the theoretical understanding of generalized trigonometric functions
Abstract
The generalized -trigonometric and ()-trigonometric functions were introduced by P. Lindqvist and S. Takeuchi, respectively. We prove some inequalities and present a few conjectures for the ()-functions.
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Taxonomy
TopicsMathematical Inequalities and Applications · Mathematical functions and polynomials · Analytic and geometric function theory