9 citations · 32 across the 18 of their papers we have counts for
18 papers
Generalized convexity of the Lambert function
Gendi Wang
This paper investigates the generalized convexity properties of the Lambert function, defined as the solution to . Focusing on -convexity and concavity…
Lipschitz constants for a hyperbolic type metric under Möbius transformations
Yinping Wu, Gendi Wang, Gaili Jia +1
Let be a nonempty open set in a metric space with . Define \begin{equation*} h_{D,c}(x,y)=\log\left(1+c\frac{d(x,y)}{\sqrt{d_D(x)d_D(y)}}\righ…
A new metric associated with the domain boundary
Xingchen Song, Gendi Wang
In this paper, we introduce a new metric which is associated with the domain boundary for a Ptolemy space . Moreover, we study the inclusion relation of the $\ti…
Monotonicity, convexity, and inequalities for functions involving gamma function
Peipei Du, Gendi Wang
In this paper, we study some properties such as the monotonicity, logarithmically complete monotonicity, logarithmic convexity, and geometric convexity, of the combinations of gamm…
A Gromov Hyperbolic metric and Möbius transformations
Xiaoxue Xu, Gendi Wang, Xiaohui Zhang
We compare a Gromov hyperbolic metric with the hyperbolic metric in the unit ball or in the upper half space, and prove sharp comparison inequalities between the Gromov hyperbolic…
On cyclic quadrilaterals in euclidean and hyperbolic geometries
Gendi Wang, Matti Vuorinen, Xiaohui Zhang
Four points ordered in the positive order on the unit circle determine the vertices of a quadrilateral, which is considered either as a euclidean or as a hyperbolic quadrilateral d…