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extreme points and Strongly extreme points of Musielak-Orlicz Sequences Spaces

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Acta Mathematica Sinica,English Series 2005年第2期21卷 267-278页

作者： XinBoLIU TingFuWANG FeiFeiYU DepartmentofMathematics HarbinNormalUniversityHarbin150080P.R.China DepartmentofMathematics HarbinUniversityofScienceandTechnologyHarbin150080P.R.China TianjinUniversityofScienceandTechnology 126BoxTianjin300222P.R.China

Criteria for extreme points and strongly extreme points in Musielak-Orliczsequence spaces, equipped with both the Luxemburg norm and the Orlicz norm, are given.

关键词： musielak-orlicz sequence spaces orlicz norm luxemburg norm extreme points strongly extreme points

A new algorithm for computing the convex hull of a planar point set

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2007年第8期8卷 1210-1217页

作者： LIU Guang-hui CHEN Chuan-bo College of Computer Science and Technology Huazhong University of Science and Technology Wuhan 430074 China

When the edges of a convex polygon are traversed along one direction,the interior of the convex polygon is always on the same side of the edges. Based on this characteristic of convex polygons,a new algorithm for computing the convex hull of a simple polygon is proposed in this paper,which is then extended to a new algorithm for computing the convex hull of a planar point set. First,the extreme points of the planar point set are found,and the subsets of point candidate for vertex of the convex hull between extreme points are obtained. Then,the ordered convex hull point sequences between extreme points are constructed separately and concatenated by removing redundant extreme points to get the convex hull. The time complexity of the new planar convex hull algorithm is O(nlogh) ,which is equal to the time complexity of the best output-sensitive planar convex hull algorithms. Compared with the algorithm having the same complexity,the new algorithm is much faster.

关键词： Computational geometry Convex hull extreme points Ordered convex hull point sequence

Statistical Convergence and Measure Convergence Generated by a Single Statistical Measure

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Acta Mathematica Sinica,English Series 2016年第6期32卷 668-682页

作者： Li Xin CHENG Li Hua LIN Xian Geng ZHOU School of Mathematical Sciences Xiamen University Institute of Mathematical and Information Engineering Sanming University Department of Mathematics Ningde Normal University

The purpose of this paper is to discuss those kinds of statistical convergence, in terms of F , or ideal Z-convergence, which are equivalent to measure convergence defined by a single statistical measure. We prove a number of characterizations of a single statistical measure μ-convergence by using properties of its corresponding quotient Banach space l∞/l∞ （Iμ）. We also show that the usual sequential convergence is not equivalent to a single measure convergence.

关键词： Statistical measure ultrafilter extreme points statistical convergence

A New Class of Harmonic Multivalent Functions Defined by Subordination

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Journal of Mathematical Research with Applications 2016年第5期36卷 537-546页

作者： Shuhai LI Huo TANG School of Mathematics and Statistics Chifeng University

In the present paper,we introduce some new subclasses of harmonic multivalent functions defined by generalized Dziok-Srivastava *** coefficient conditions,distortion bounds and extreme points for functions of these cl... 详细信息

关键词： harmonic multivalent functions Dziok-Srivastava operator subordination extreme points distortion bounds

Some Results for a Family of Harmonic Univalent Functions

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Journal of Mathematical Research with Applications 2022年第5期42卷 499-510页

作者： Liangpeng XIONG Yaqian WANG School of Mathematics and Computer Science Jiangxi Science and Technology Normal University

In this paper, we introduce a class of the univalent sense-preserving harmonic functions associated with Ruscheweyh derivatives. By establishing the extremal theory, we obtain the sharp coefficients bounds, sharp growth theorems and sharp distortion theorems for the *** radius equation between this class and a known class of harmonic functions is given. Also,we investigate the results of modified-Hadamard product for this class.

关键词： extreme points growth theorem harmonic functions modified-Hadamard product Ruscheweyh derivatives

A Solution to the 3x + 1 Problem

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American Journal of Computational Mathematics 2023年第2期13卷 371-377页

作者： David C. Kay Weaverville NC USA

The author makes the claim to have a solution for the famous 3x + 1 problem. The key to its solution is a special proof that the term (3 + ε)r is a non-integer, as well as the use of properties of extremal points of ... 详细信息

关键词： Collatz Sequences extreme points Pre-extreme Sequence

A New Class of Harmonic Univalent Functions

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Chinese Quarterly Journal of Mathematics 2012年第2期27卷 286-292页

作者： LI Shu-hai MA Li-na Department of Mathematics Chifeng College Chifeng 024001 China

A complex-valued harmonic function that is univalent and sense preserving in the unit disk U can be written in the form of f = h + g,where h and g are analytic in *** define and investigate a new class LH_λ(α,β) by generalized Salagean operator of harmonic univalent *** give sufficient coefficient conditions for normalized harmonic functions in the class LH_λ(α,β).These conditions are also shown to be necessary when the coefficients are *** leads to distortion bounds and extreme points.

关键词： harmonic function Salagean operator extreme points distortion bounds

Some Properties for New Subclass of Analytic Functions

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Chinese Quarterly Journal of Mathematics 2013年第2期28卷 261-268页

作者： TANG Huo LI Shu-hai DENG Guan-tie MA Li-na School of Mathematical Sciences Beijing Normal University Beijing 100875 China Departmentof Mathematics and Statistics Chifeng College Chifeng 024001 China

A new subclass A(β1 , β2 , ··· , βk ; λ) of analytic functions f(z) in the open unit disk U is introduced and studied. We provide coefficient inequalities, distortion theorems, extreme points and radius of clos... 详细信息

关键词： analytic functions coefficient inequalities distortion inequalities extreme points radius