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A new general integral operator 一个新的通用积分算子
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2016.59242
H. Güney, F. Sakar, S. Bulut
{"title":"A new general integral operator","authors":"H. Güney, F. Sakar, S. Bulut","doi":"10.12988/IJMA.2016.59242","DOIUrl":"https://doi.org/10.12988/IJMA.2016.59242","url":null,"abstract":"In this paper, we define a new general integral operator for certain analytic and p-valent functions in the unit disc U. Using this integral operator, we obtain many known integral operators. Mathematics Subject Classification: 30C45","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"21 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113965291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Edge fixed Steiner number of a graph 图的边定斯坦纳数
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2017.7694
M. Perumalsamy, P. Sudhahar, J. John, R. Vasanthi
{"title":"Edge fixed Steiner number of a graph","authors":"M. Perumalsamy, P. Sudhahar, J. John, R. Vasanthi","doi":"10.12988/IJMA.2017.7694","DOIUrl":"https://doi.org/10.12988/IJMA.2017.7694","url":null,"abstract":"For a non-empty set W of vertices in a connected graph G, the Steiner distance d(W) of W is the minimum size of a connected subgraph of G containing W. Necessarily, each such subgraph is a tree and is called a Steiner tree with respect to W or a Steiner W-tree. S(W) denotes the set of vertices that lies in Steiner W-trees. Let G be a connected graph with at least 2 vertices. A set W ⊆ V(G) is called a Steiner set of G if S(W) = V(G). The Steiner number s(G) is the minimum cardinality of a Steiner set. Let G be a connected graph with at least 3 vertices. For an edge e = xy in G, a set W ⊆ V(G) − {x, y} is called an edge fixed Steiner set of G if W’ = W ∪ {x, y} is a Steiner set of G. The minimum cardinality of an edge fixed Steiner set is called the edge fixed Steiner number of G and is denoted by se(G). Also the Steiner W-tree necessarily contains the edge e and is called edge fixed Steiner W-tree. In this paper, we begin with an investigation of this parameter. 772 M. Perumalsamy, P. Arul Paul Sudhahar, J. John and R. Vasanthi","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114819259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
An alternative proof of an inequality by Zhu 朱对不等式的另一种证明
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/ijma.2020.91292
K. Nantomah
{"title":"An alternative proof of an inequality by Zhu","authors":"K. Nantomah","doi":"10.12988/ijma.2020.91292","DOIUrl":"https://doi.org/10.12988/ijma.2020.91292","url":null,"abstract":"In this short note, we provide a new and relatively simple proof of an inequality established by Zhu in 2009. The main tools employed are Lazarevic inequality and the arithmetic-geometric mean inequality. Mathematics Subject Classification: 33B10, 26D05","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124305652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Bound on Poisson approximation on the length of success runs at least k by Stein-Chen method 用Stein-Chen方法给出了成功运行长度至少k的泊松近似的界
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2019.81281
C. Sahatsathatsana
{"title":"Bound on Poisson approximation on the length of success runs at least k by Stein-Chen method","authors":"C. Sahatsathatsana","doi":"10.12988/IJMA.2019.81281","DOIUrl":"https://doi.org/10.12988/IJMA.2019.81281","url":null,"abstract":"The probability distribution of the number of success runs of the length k (k ≥ 1) in n (n ≥ 1) Bernoulli trials is obtained. It is noted that this distribution is a binomial distribution of the order k, and several open problems pertaining to it are stated. Let Wn denotes the number of success runs with the length k or more and we give bound for Wn by Poisson distribution via Stein-Chen coupling method. Mathematics Subject Classification: 60G07","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124057037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weak sigma-continuity on sigma-structures sigma结构上的弱sigma连续性
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/ijma.2015.412379
Young Key Kim, W. Min
{"title":"Weak sigma-continuity on sigma-structures","authors":"Young Key Kim, W. Min","doi":"10.12988/ijma.2015.412379","DOIUrl":"https://doi.org/10.12988/ijma.2015.412379","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127668509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Maximal zero-subspaces of diagonal polynomials on Banach spaces Banach空间上对角多项式的极大零子空间
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/ijma.2016.6465
N. Verkalets
{"title":"Maximal zero-subspaces of diagonal polynomials on Banach spaces","authors":"N. Verkalets","doi":"10.12988/ijma.2016.6465","DOIUrl":"https://doi.org/10.12988/ijma.2016.6465","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127677056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some new generalizations of Karapinar's theorems Karapinar定理的一些新推广
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2014.45127
Ing-Jer Lin, Ya-Ling Chang
{"title":"Some new generalizations of Karapinar's theorems","authors":"Ing-Jer Lin, Ya-Ling Chang","doi":"10.12988/IJMA.2014.45127","DOIUrl":"https://doi.org/10.12988/IJMA.2014.45127","url":null,"abstract":"In-depth study of fixed point theory is to solve the existence of the equation Tx = x (or x ∈ T (x)), where T is a self-map or a non-self-map. However, as we know, the equation Tx = x (or x ∈ T (x)) is not necessarily to have a solution. So, we turn to explore the best approximation of the existence of solutions. In 2003, Kirk-Srinavasan-Veeramani [1] introduced cyclic maps and best proximity points. Many new results on cyclic maps have been obtained in the literature, see e.g. [2-11].","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126205205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
The Henstock-Kurzweil integral of set-valued function 集值函数的Henstock-Kurzweil积分
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2014.410332
R. B. E. Wibowo, M. Muslikh
{"title":"The Henstock-Kurzweil integral of set-valued function","authors":"R. B. E. Wibowo, M. Muslikh","doi":"10.12988/IJMA.2014.410332","DOIUrl":"https://doi.org/10.12988/IJMA.2014.410332","url":null,"abstract":"A theory of integration of compact convex set-valued is provided by applying the Henstock integral has been studied by She Xiang Hai, Fang Di Kong and Ji Shu Chen [12]. The aim of this paper is to give a similar characterization of the Henstock-Kurzweil integrability for a more general class of set-valued function. Moreover, we compare the Henstock-Kurzweil integral with Debrue [5] and Aumann ones [1]. Mathematics Subject Classification: 28B20, 26E25, 54C60, 54C65, 58C06","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127972351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Fixed point theorems for twisted xi-(alpha,beta)-expansive mappings in metric spaces 度量空间中扭曲xi -(alpha, beta)-扩展映射的不动点定理
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2015.53107
S. Kang, Poonam Nagpal, S. Garg, Sanjay Kumar
{"title":"Fixed point theorems for twisted xi-(alpha,beta)-expansive mappings in metric spaces","authors":"S. Kang, Poonam Nagpal, S. Garg, Sanjay Kumar","doi":"10.12988/IJMA.2015.53107","DOIUrl":"https://doi.org/10.12988/IJMA.2015.53107","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125444591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Critical cones for regular controls with inequality constraints 不等式约束正则控制的临界锥
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2018.8856
Jorge A. Becerril, Karla L. Cortez, J. F. Rosenblueth
{"title":"Critical cones for regular controls with inequality constraints","authors":"Jorge A. Becerril, Karla L. Cortez, J. F. Rosenblueth","doi":"10.12988/IJMA.2018.8856","DOIUrl":"https://doi.org/10.12988/IJMA.2018.8856","url":null,"abstract":"Based on the notions of normality and regularity for constrained problems in optimization, a conjecture on second order necessary conditions related to different critical cones is posed for a wide range of optimal control problems involving equality and inequality constraints. Several properties of the sets and functions delimiting the problem are derived and, for a specific case where the surmise has been proved correct, some fundamental questions derived from this result are completely solved. Mathematics Subject Classification: 49K15","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125465699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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