Generalizations of Euler Inequality in the n-dimensional Euclidean Space

The relation between the circum-radius and the in-radius of an n-dimensional simplex in E^n is studied.Two new generalizations of Euler inequality for the n-dimensional simplex are established.Besides,we obtain some stronger generalizations of Euler inequality for the n-dimensional simplex than previously known results.

Several Hermite-Hadamard Type Inequalities for Harmonically Convex Functions in the Second Sense with Applications

In this paper, we first introduce the concept ＂harmonically convex functions＂ in the second sense and establish several Hermite-Hadamard type inequalities for harmonically convex functions in the second sense. Finally, some applications to special mean are shown.

急腹症中腹腔镜应用的临床分析

目的探讨腹腔镜在急腹症临床诊疗当中的应用价值。方法方便选择该院2015年9月—2016年7月期间收治的102例急腹症患者作为研究对象,将其分为观察组(腹腔镜手术)和对照组(常规手术)各51例,观察两组患者的临床治疗效果。结果与对照组相比,观察组患者的探查准确率(98.04%>82.35%)和手术成功率(96.08%>88.24%)相对更高(P<0.05),而并发症发生率(1.96%<9.80%)和术中出血量[(96.14±24.56)m L<(195.52±42.78)m L]相对更低(P<0.05),而术后排气时间[(23.31±3.24)h<(40.56±4.65)h]、住院时间[(5.85±1.34)d<(10.64±2.46)d]相对更短(P<0.05)。结论在急腹症的临床治疗当中应用腹腔镜,充分保障了疾病临床诊疗的安全性,提高诊断准确率和治疗有效率。

A Class of Schur Convex Functions and Several Geometric Inequalities

Schur convexity, Schur geometrical convexity and Schur harmonic convexityof a class of symmetric functions are investigated. As consequences some knowninequalities are generalized. In addition, a class of geometric inequalities involvingn-dimensional simplex in n-dimensional Euclidean space En and several matrix inequalitiesare established to show the applications of our results.

Bonnesen-style Isoperimetric Inequalities of an n-simplex

In this paper,by the theory of geometric inequalities,some new Bonnesenstyle isoperimetric inequalities of n-dimensional simplex are proved.In several cases,these inequalities imply characterizations of regular simplex.