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pro vyhledávání: '"Wang, GenDi"'
Let $D$ be a nonempty open set in a metric space $(X,d)$ with $\partial D\neq \emptyset$. Define \begin{equation*} h_{D,c}(x,y)=\log\left(1+c\frac{d(x,y)}{\sqrt{d_D(x)d_D(y)}}\right), \end{equation*} where $d_D(x)=d(x,\partial D)$ is the distance fro
Externí odkaz:
http://arxiv.org/abs/2309.03515
Autor:
Song, Xingchen, Wang, Gendi
In this paper, we introduce a new metric $\tilde{c}$ which is associated with the domain boundary for a Ptolemy space $(X,d)$. Moreover, we study the inclusion relation of the $\tilde{c}$ metric balls and some related hyperbolic type metric balls in
Externí odkaz:
http://arxiv.org/abs/2306.08890
Autor:
Du, Peipei, Wang, Gendi
In this paper, we study some properties such as the monotonicity, logarithmically complete monotonicity, logarithmic convexity, and geometric convexity, of the combinations of gamma function and power function. The results we obtain generalize some r
Externí odkaz:
http://arxiv.org/abs/2205.12530
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 metric and some hyperbolic type metrics. We also obtain several sharp
Externí odkaz:
http://arxiv.org/abs/2006.04087
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 depending on whether the lines connecting the vertices are euclidean or
Externí odkaz:
http://arxiv.org/abs/1908.10389
In this paper, we investigate the monotonicity and inequalities for some functions involving the arc lemniscate and the hyperbolic arc lemniscate functions. In particular, sharp Shafer-Fink type inequalities for the arc lemniscate and the hyperbolic
Externí odkaz:
http://arxiv.org/abs/1905.11802
We study the geometry of the scale invariant Cassinian metric and prove sharp comparison inequalities between this metric and the hyperbolic metric in the case when the domain is either the unit ball or the upper half space. We also prove sharp disto
Externí odkaz:
http://arxiv.org/abs/1903.09099
Akademický článek
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Akademický článek
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Autor:
Gao, Xiaolong, Tian, Xin, Huang, Ye, Fang, Rong, Wang, Gendi, Li, Dan, Zhang, Junru, Li, Tian, Yuan, Ruihua
Publikováno v:
In Cytokine and Growth Factor Reviews June 2022 65:1-11