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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

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 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 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 operator.Sufficient coefficient conditions,distortion bounds and extreme points for funct... 详细信息

关键词： harmonic multivalent functions Dziok-Srivastava operator subordination 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

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 U.We define and investigate a new class LH_λ(α,β) by generalized Salagean operator of harmonic univalent functions.We 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 negative.This leads to distortion bounds and extreme points.

关键词： harmonic function Salagean operator extreme points distortion bounds