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arxiv: 1301.0699 · v2 · pith:3E6VDUQInew · submitted 2013-01-04 · 🧮 math.CA

Convexity properties of generalized trigonometric and hyperbolic functions

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keywords trigonometricfunctionsgeneralizedhyperbolicconvexityinequalityintroducedlindqvist
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We study the power mean inequality of the generalized trigonometric and hyperbolic functions with two parameters. The generalized $p$-trigonometric and $(p, q)$-trigonometric functions were introduced by P. Lindqvist and S. Takeuchi, respectively.

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