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Some Inequalities of Hermite-Hadamard Type for Functions Whose 3rd Derivatives Are <i>P</i>-Convex 被引量:1
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作者 Boyan Xi Shuhong Wang Feng Qi 《Applied Mathematics》 2012年第12期1898-1902,共5页
In the paper, the authors establish some new Hermite-Hadamard type inequalities for functions whose 3rd derivatives are P-convex.
关键词 INTEGRAL INEQUALITY Hermite-Hadamard’s INTEGRAL INEQUALITY p-convex function Derivative
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Convexity for New Integral Operator on k-uniformly p-valent a-convex Functions of Complex Order 被引量:1
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作者 LI Shu-hai MA Li-na A O-en 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第1期88-96,共9页
In this paper, we obtain the convexity of new general integral operator on some classes of k-uniformly p-valent a-convex functions of complex order. These results extend some known theorems.
关键词 analytic functions p-valently k-uniformly STARLIKE convex integral operator
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Circulating miR-21-5p level has limited prognostic value in patients with hepatocellular carcinoma and is influenced by renal function 被引量:2
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作者 Martin Franck Cosima Thon +2 位作者 Kerstin Schutte Peter Malfertheiner Alexander Link 《World Journal of Hepatology》 2020年第11期1031-1045,共15页
BACKGROUND MicroRNAs(miRNAs)have been suggested as biomarkers for malignant diseases including hepatocellular carcinoma(HCC).Specifically,hsa-miR-21-5p(miR-21)is among the most frequently deregulated miRNA in cancer.T... BACKGROUND MicroRNAs(miRNAs)have been suggested as biomarkers for malignant diseases including hepatocellular carcinoma(HCC).Specifically,hsa-miR-21-5p(miR-21)is among the most frequently deregulated miRNA in cancer.The diagnostic and prognostic value of miR-21 has been demonstrated in HCC tissue,mostly in the Asian population.Although the impact of various factors has been recently reported for circulating hsa-miR-122-5p(miR-122),at present only limited knowledge is available for miR-21.AIM To evaluate the value of miR-21 for the assessment of prognosis in HCC patients and to delineate the influence of clinical and preanalytical factors on miR-21 level in sera.METHODS Patients with confirmed HCC from our European cohort with predominantly alcohol-associated liver damage were included in the study.All subjects were characterized according to their clinical and laboratory work-up and overall survival data were obtained.Quantitative real-time polymerase chain reaction was performed for miR-21 and spiked-in cel-miR-39-3p.The results were compared to previously reported miR-122 data.RESULTS Survival of HCC patients was comparable between patients with low and high serum miR-21 concentration.No association was observed between miR-21 level in sera and Child-Pugh score,Barcelona Clinic Liver Cancer staging system,or etiology of HCC/liver disease.Age,gender,or pretreatment had no association with miR-21 level.A positive correlation was observed between miR-21 and aspartate aminotransferase(r=0.2854,P=0.0061),serum miR-122(r=0.2624,P=0.0120),and the International Normalized Ratio(r=0.2065,P=0.0496).Negative correlation of miR-21 with serum creatinine(r=-0.2215,P=0.0348)suggests renal function as a potential influencing factor in miR-21 biogenesis in blood.CONCLUSION The results from this work do not support clinically relevant prognostic value of circulating miR-21 in HCC patients in real-life settings.Following systematic evaluation,we identified renal function and aspartate aminotransferase as potential factors that may affect miR-21 concentration in blood.This knowledge should be considered in future miRNA-based biomarker studies not only for HCC but also for other diseases. 展开更多
关键词 Hepatocellular cancer Hepatocellular carcinoma MicroRNA pROGNOSIS miR-21-5p Renal function
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Some Inequalities on <i>p</i>-Valent Functions Related to Geometric Structure Based on <i>q</i>-Derivative
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作者 Shahram Najafzadeh Deborah Olufunmilayo Makinde 《Journal of Applied Mathematics and Physics》 2020年第2期301-306,共6页
By applying the q-derivative, we introduce two new subclasses of p-valent functions with positive coefficients. By means of the well-known Jack’s lemma, some inequalities related to starlike, convex and close-to-conv... By applying the q-derivative, we introduce two new subclasses of p-valent functions with positive coefficients. By means of the well-known Jack’s lemma, some inequalities related to starlike, convex and close-to-convex functions are also obtained. 展开更多
关键词 p-VALENT functionS Jack’s Lemma STARLIKE convex and CLOSE-TO-convex functionS
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W ^(1,p)(R^n)-BOUNDEDNESS FOR MAXIMAL FUNCTIONS
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作者 Li Cheng Department of Mathematics Lishui University Lishui, 323000P. R. China 《Analysis in Theory and Applications》 2009年第1期86-91,共6页
In this paper, we get W 1,p(Rn)-boundedness for tangential maximal func- tion and nontangential maximal function , which improves J.Kinnunen, P.Lindqvist and Tananka’s results.
关键词 tangential maximal function nontangential maximal function W 1 p(Rn)- boundedness
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A REMARK ON CERTAIN DIFFERENTIAL INEQUALITIES INVOLVING p-VALENT FUNCTIONS
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作者 Sukhwinder Singh Billing 《Analysis in Theory and Applications》 2012年第1期58-64,共7页
In the present paper, we study certain differential inequalities involving p-valent functions and obtain sufficient conditions for uniformly p-valent starlikeness and uniformly p-valent convexity. We also offer a corr... In the present paper, we study certain differential inequalities involving p-valent functions and obtain sufficient conditions for uniformly p-valent starlikeness and uniformly p-valent convexity. We also offer a correct version of some known criteria for uniformly p-valent starlike and uniformly p-valent convex functions. 展开更多
关键词 p-valent function uniformly starlike function uniformly convex function uni-formly close-to-convex function
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Effect of microRNA-143-3p-mediated CTNND1 on the biological function of lung cancer cells
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作者 Xinxiong FEI Wenbin HU +3 位作者 Gangsheng WANG Chunyan SU Xuqun HUANG Zhongjun JIANG 《BIOCELL》 SCIE 2020年第1期81-88,共8页
Lung cancer poses a serious threat to human life with high incidence and miRNA is an important biomarkerin tumors. This study aimed to explore the effect of miR-143-3p on the biological function of lung cancer cells a... Lung cancer poses a serious threat to human life with high incidence and miRNA is an important biomarkerin tumors. This study aimed to explore the effect of miR-143-3p on the biological function of lung cancer cells and theunderlying mechanism. Eighty-seven samples of lung cancer tissues and 81 samples of tumor-adjacent tissues from patients undergoing radical lung cancer surgery in our hospital were collected. The lung cancer cells and lung fibroblastcells (HFL-1) were purchased, and then miR-143-3p-mimics, miR-NC, si-CTNND1, and NC were transfected into A549 and PC-9 cells to establish cell models. MiR-143-3p and CTNND1 expression levels were measured by the qRT-PCR, Bax, Bcl-2, and CTNND1 expression levels by the Western Blot (WB), and cell proliferation, invasion, and apoptosis by the MTT assay, Transwell assay, and flow cytometry. Dual luciferase report assay was used to determinethe relationship between miR-143-3p and CTNND1. In this study, miR-143-3p was lowly expressed in lung cancer and CTNND1 was highly expressed in lung cancer. The overexpression of miR-143-3p inhibited cell proliferation and invasion, promoted cell apoptosis, significantly increased Bax protein expression, and decreased Bcl-2 protein expression. The inhibition of CTNND1 led to opposite biological characteristic in cells. The dual luciferase reporter assay demonstrated that miR-143-3p was a target region of CTNND1. Such results suggest that miR-143-3p can inhibitthe proliferation and invasion of lung cancer cells by regulating the expression of CTNND1 and promote the apoptosisof lung cancer cells, sott is expected to be a potential target for lung cancer. 展开更多
关键词 Biological function CTNND1 Lung cancer MiR-143-3p
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Applications of the Differential Operator to the Class of p-Valent Functions
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作者 ZHOU Cong-hui 《Chinese Quarterly Journal of Mathematics》 2018年第2期199-205,共7页
In this paper, we define some new subclasses of strongly close-to-star and strongly close-to-convex p-valent functions defined in the open unit disc by using a differential operator. Some inclusion results, convolutio... In this paper, we define some new subclasses of strongly close-to-star and strongly close-to-convex p-valent functions defined in the open unit disc by using a differential operator. Some inclusion results, convolution properties are studied. 展开更多
关键词 p-valent function Strongly close-to-star function Strongly close-to-convex function Inclusion results
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P-凸函数及其性质 被引量:19
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作者 张孔生 万建平 《纯粹数学与应用数学》 CSCD 北大核心 2007年第1期130-133,共4页
给出P-凸函数的定义及其性质,将一个有关凸函数的命题推广到P-凸函数情形,并指出赵海清等人关于该命题的证明过程是错误的.
关键词 凸函数 p-凸函数 Jensen型不等式
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关于P-凸函数的Hadamard型不等式 被引量:10
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作者 宋振云 涂琼霞 《纯粹数学与应用数学》 CSCD 2011年第3期313-317,共5页
对于P-凸函数在给定连续区间上的算术平均问题,通过P-凸函数理论将其转化为定积分问题,利用定积分的定义计算和定积分运算,建立了P-凸函数的Hadamard型不等式,给出了证明和发现不等式的实例.
关键词 凸函数 p-凸函数 Jensen型不等式 HADAMARD型不等式
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广义B-(p,r)-不变凸函数多目标规划的最优性条件 被引量:2
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作者 焉波 魏运才 《北华大学学报(自然科学版)》 CAS 2008年第2期108-111,共4页
B-(p,r)-不变凸函数是一类新的广义凸函数,推广了B-(p,r)-不变凸函数的定义,并利用B-(p,r)-不变凸函数讨论了一类可微多目标规划的最优性条件,其结论具有一般性,推广了许多文献中关于不变凸函数的结果.
关键词 多目标规划 B-(p r)-小变凸函数 最优性条件 有效解
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关于P-凸函数的积分型Jensen不等式 被引量:4
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作者 宋振云 《纯粹数学与应用数学》 CSCD 2012年第1期36-40,共5页
基于P-凸函数的函数凸性,研究了P-凸函数的Jensen型不等式的积分形式,通过定积分的定义计算,得到了P-凸函数的积分型Jensen不等式;利用P-凸函数的一个充要条件,建立了P-凸函数的积分型Jensen不等式的加权形式.
关键词 p-凸函数 离散型Jensen不等式 积分型JENSEN不等式 定积分 充要条件
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P-凸函数的几个性质 被引量:5
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作者 宋振云 《湖北职业技术学院学报》 2010年第1期102-104,共3页
文章在文[1]的基础上,引入了P-凸集的概念,并对P-凸函数进行了进一步讨论,得到了P-凸函数的几个性质。
关键词 凸集 凸函数 p-凸集 p-凸函数
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P-凸函数的一个充要条件 被引量:4
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作者 宋振云 涂琼霞 《高师理科学刊》 2010年第2期29-30,共2页
针对凸集、凸函数和P-凸函数定义的特点,引入了P-凸集的概念,并给出了P-凸函数的一个判定定理.
关键词 凸集 凸函数 p-凸集 p-凸函数
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鞅的p-均方函数不等式 被引量:1
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作者 金雁鸣 《三峡大学学报(自然科学版)》 CAS 2002年第3期280-281,288,共3页
讨论了B值鞅 f的 p 均方函数的不等式 ,对于 1 a p <∞ ,有‖f‖pJa 2 1a‖f‖pHa,对于 0 <a <p <∞ ,有‖f‖pHa (pa) 1p‖f‖p a,且常数 (pa)
关键词 鞅差序列 p-均方函数 凸函数
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协同(α,m;P)-凸函数的Hermite-Hadamard型积分不等式 被引量:1
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作者 白淑萍 谷桂花 《内蒙古民族大学学报(自然科学版)》 2015年第6期461-464,共4页
凸函数理论及其应用在众多学科中都有广泛的应用,且各类凸函数性质的研究具有重要的意义.在本文中,我们在平面R_0×R的矩形域上建立若干个关于协同(α,m;P)-凸函数的Hermite-Hadamard型积分不等式.
关键词 HERMITE-HADAMARD不等式 凸函数 m p)-凸函数 积分不等式
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P-凸函数的Hadamard型不等式 被引量:1
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作者 宋振云 涂琼霞 《高师理科学刊》 2010年第6期47-48,62,共3页
通过P-凸函数的一个充要条件,应用凸函数的Hadamard型不等式,得到了P-凸函数的一个Hadamard型不等式.
关键词 p-凸集 p-凸函数 HADAMARD型不等式
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(p,q)-Grötzsch环函数与(p,q)-Hübner函数的一些性质 被引量:1
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作者 裘松良 丁志栓 王婕 《浙江理工大学学报(自然科学版)》 2020年第6期846-851,共6页
对于r∈(0,1),通过揭示由第一类完全(p,q)-椭圆积分定义的(p,q)-Grötzsch环函数μp,q和(p,q)-Hübner函数Μp,q(r)以及初等函数定义的一些组合的单调性、凹凸性,给出了μp,q(r)与Μp,q(r)的一些性质,从而将Grötzsch环函数... 对于r∈(0,1),通过揭示由第一类完全(p,q)-椭圆积分定义的(p,q)-Grötzsch环函数μp,q和(p,q)-Hübner函数Μp,q(r)以及初等函数定义的一些组合的单调性、凹凸性,给出了μp,q(r)与Μp,q(r)的一些性质,从而将Grötzsch环函数和Hübner函数的一些已知结果推广到μp,q(r)和Μp,q(r)。 展开更多
关键词 完全(p q)-椭圆积分 (p q)-Grötzsch环函数 (p q)-Hübner函数 单调性 凹凸性 不等式
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关于p-凸函数的不等式
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作者 时统业 李军 《湖南理工学院学报(自然科学版)》 CAS 2017年第2期1-5,共5页
已有文献证明了h-凸函数的h-左导数、h-右导数的存在性和单调性.p-凸函数是h-凸函数的特例,所以p-凸函数的单侧导数存在且单调.借助单侧导数建立了p-凸函数的积分不等式,从而得到p-凸函数的加权Hermite-Hadamard型不等式的加强.
关键词 p-凸函数 h-凸函数 Hermite-Hadamard 型不等式 积分不等式
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调和p方凸函数与调和p次幂s-凸函数的定义及其判别法
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作者 沈君 《海南大学学报(自然科学版)》 CAS 2017年第3期201-204,共4页
给出了调和p方凸函数与调和p次幂s-凸函数的定义以及判定方法。
关键词 凸函数 调和p方凸函数 调和p次幂s-凸函数 JENSEN不等式
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