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Convexity properties of generalized trigonometric and hyperbolic functions

Published 4 Jan 2013 in math.CA | (1301.0699v2)

Abstract: 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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