Gendi Wang
Abstract
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We prove sharp bounds for the product and the sum of the hyperbolic lengths of a pair of hyperbolic adjacent sides of hyperbolic Lambert quadrilaterals in the unit disk. We also show the Hölder convexity of the inverse hyperbolic sine function involved in the hyperbolic geometry.
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We prove sharp bounds for the product and the sum of the hyperbolic lengths of a pair of hyperbolic adjacent sides of hyperbolic Lambert quadrilaterals in the unit disk. We also show the Hölder convexity of the inverse hyperbolic sine function involved in the hyperbolic geometry.
Key concepts: Hyperbolic function, Hyperbolic angle, Hyperbolic triangle, Quadrilateral, Hyperbolic tree, Mathematics, Inverse hyperbolic function, Ultraparallel theorem