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math.CA2013★ 19 cited
Turán type inequalities for generalized inverse trigonometric functions
Árpád Baricz, Barkat Ali Bhayo, Matti Vuorinen
In this paper we study the inverse of the eigenfunction of the one-dimensional -Laplace operator and its dependence on the parameter , and we present a Turán type in…
math.CA2013
Convexity properties of generalized trigonometric and hyperbolic functions
Árpád Baricz, Barkat Ali Bhayo, Riku Klén
We study the power mean inequality of the generalized trigonometric and hyperbolic functions with two parameters. The generalized -trigonometric and -trigonometric funct…