Let $B(z)$ be a finite Blaschke product of degree $n$. We consider the problem when a finite Blaschke product can be written as a composition of two nontrivial Blaschke products of lower degree related to the condition $% Bcirc M=B$ where $M$ is a M"{o}bius transformation from the unit disk onto itself.
{"title":"Finite Blaschke Products and Decomposition","authors":"Sumeyra Uccar, N. Ozgur","doi":"10.7862/rf.2019.11","DOIUrl":"https://doi.org/10.7862/rf.2019.11","url":null,"abstract":"Let $B(z)$ be a finite Blaschke product of degree $n$. We consider the problem when a finite Blaschke product can be written as a composition of two nontrivial Blaschke products of lower degree related to the condition $% Bcirc M=B$ where $M$ is a M\"{o}bius transformation from the unit disk onto itself.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124198133","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}
Pub Date : 2015-12-31DOI: 10.12697/ACUTM.2015.19.06
G. S. Srivastava, A. Sharma
Let Y be the space of all entire functions f : ℂ2 → E defined by the vector valued Dirichlet series, where E is a complex Banach algebra with the unit element. We study various topologies defined on the space Y and characterize continuous linear transformations on Y.
{"title":"Spaces of entire functions represented by vector valued Dirichlet series","authors":"G. S. Srivastava, A. Sharma","doi":"10.12697/ACUTM.2015.19.06","DOIUrl":"https://doi.org/10.12697/ACUTM.2015.19.06","url":null,"abstract":"Let Y be the space of all entire functions f : ℂ2 → E defined by the vector valued Dirichlet series, where E is a complex Banach algebra with the unit element. We study various topologies defined on the space Y and characterize continuous linear transformations on Y.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114489455","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}
We consider a vector nonlinear differential equation of fourth order with a constant delay. We establish new sufficient conditions, which guarantee the instability of the zero solution of that equation. An example is given to illustrate the theoretical analysis made in this paper.
{"title":"Instability to nonlinear vector differential equations of fourth order with constant delay","authors":"C. Tunç","doi":"10.7862/RF.2013.11","DOIUrl":"https://doi.org/10.7862/RF.2013.11","url":null,"abstract":"We consider a vector nonlinear differential equation of fourth order with a constant delay. We establish new sufficient conditions, which guarantee the instability of the zero solution of that equation. An example is given to illustrate the theoretical analysis made in this paper.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127731415","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}
{"title":"Weakly Locally Uniformly Rotund Norm which is not Locally Uniformly Rotund","authors":"M. Malec","doi":"10.7862/rf.2021.5","DOIUrl":"https://doi.org/10.7862/rf.2021.5","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"62 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":"127330277","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}
In this paper, we present analogues of Radon’s inequality and Nesbitt’s inequality on time scales. Furthermore, we find refinements of some classical inequalities such as Bergström’s inequality, the weighted power mean inequality, Cauchy–Schwarz’s inequality and Hölder’s inequality. Our investigations unify and extend some continuous inequalities and their corresponding discrete analogues. AMS Subject Classification: 26D15, 26D20, 34N05.
{"title":"Analogy of Classical and Dynamic Inequalities Merging on Time Scales","authors":"Muhammad Jibril Shahab Sahir","doi":"10.7862/rf.2020.10","DOIUrl":"https://doi.org/10.7862/rf.2020.10","url":null,"abstract":"In this paper, we present analogues of Radon’s inequality and Nesbitt’s inequality on time scales. Furthermore, we find refinements of some classical inequalities such as Bergström’s inequality, the weighted power mean inequality, Cauchy–Schwarz’s inequality and Hölder’s inequality. Our investigations unify and extend some continuous inequalities and their corresponding discrete analogues. AMS Subject Classification: 26D15, 26D20, 34N05.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","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":"128416572","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}
In this paper, we introduce the notations of e-I-open sets and strongB I -set to obtain a decomposition of continuing via idealization. Additionally, we investigate properties of e-I-open sets and strong B I - set. Also we studied some more properties of e-I-open sets and obtained several characterizations of e-I-continuous functions and investigate their relationship with other types of functions.
{"title":"On e-I-open sets, e-I-continuous functions and decomposition of continuity","authors":"W. Al-Omeri, M. Noorani, A. Al-Omari","doi":"10.7862/RF.2015.2","DOIUrl":"https://doi.org/10.7862/RF.2015.2","url":null,"abstract":"In this paper, we introduce the notations of e-I-open sets and strongB I -set to obtain a decomposition of continuing via idealization. Additionally, we investigate properties of e-I-open sets and strong B I - set. Also we studied some more properties of e-I-open sets and obtained several characterizations of e-I-continuous functions and investigate their relationship with other types of functions.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"142 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":"128495213","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}
In this paper we study some parameters of domination, independence and irredundance in some edge-coloured graphs and their products. We present several general properties of independent, dominat- ing and irredundance sets in edge-coloured graphs and we give relation- ships between the independence, domination and irredundant numbers of an edge-coloured graph. We generalize some classical results concern- ing independence, domination and irredundance in graphs. Moreover we study G-join of edge-coloured graphs which preserves considered parame- ters with respect to related parameters in product factors.
{"title":"On parameters of independence, domination and irredundance in edge-coloured graphs and their products","authors":"A. Włoch, I. Włoch","doi":"10.7862/RF.2012.9","DOIUrl":"https://doi.org/10.7862/RF.2012.9","url":null,"abstract":"In this paper we study some parameters of domination, independence and irredundance in some edge-coloured graphs and their products. We present several general properties of independent, dominat- ing and irredundance sets in edge-coloured graphs and we give relation- ships between the independence, domination and irredundant numbers of an edge-coloured graph. We generalize some classical results concern- ing independence, domination and irredundance in graphs. Moreover we study G-join of edge-coloured graphs which preserves considered parame- ters with respect to related parameters in product factors.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","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":"128650564","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}
In this paper, we use the fuzzy prime spectrum to de- ne the reticulation ( L(A); ) of a residuated lattice A. We obtain some related results. In particular, we show that the lattices of fuzzy lters of a residuated lattice A and L(A) are isomorphic and the fuzzy prime spectrum of A and L(A) are homomorphic topological space.
{"title":"The reticulation of residuated lattices induced by fuzzy prime spectrum","authors":"S. Ghorbani","doi":"10.7862/RF.2012.2","DOIUrl":"https://doi.org/10.7862/RF.2012.2","url":null,"abstract":"In this paper, we use the fuzzy prime spectrum to de- ne the reticulation ( L(A); ) of a residuated lattice A. We obtain some related results. In particular, we show that the lattices of fuzzy lters of a residuated lattice A and L(A) are isomorphic and the fuzzy prime spectrum of A and L(A) are homomorphic topological space.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"12 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":"129168805","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}
The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21]). In this paper, we study the existence of weak solutions for fractional differential equations of Riemann-Liouville and Caputo types. We depend on converting of the mentioned equations to the form of functional integral equations of Volterra-Stieltjes type in reflexive Banach spaces. AMS Subject Classification: 35D30, 34A08, 26A42.
{"title":"Weak Solutions of Fractional Order Differential Equations via Volterra-Stieltjes Integral Operator","authors":"A. El-Sayed, W. El-Sayed, A. El-Mowla","doi":"10.7862/RF.2017.6","DOIUrl":"https://doi.org/10.7862/RF.2017.6","url":null,"abstract":"The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21]). In this paper, we study the existence of weak solutions for fractional differential equations of Riemann-Liouville and Caputo types. We depend on converting of the mentioned equations to the form of functional integral equations of Volterra-Stieltjes type in reflexive Banach spaces. AMS Subject Classification: 35D30, 34A08, 26A42.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"19 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":"130535020","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}
A very interesting approach in the theory of fixed point is some general structures was recently given by Jachymski by using the context of metric spaces endowed with a graph. The purpose of this article is to present some new fixed point results for G-nonexpansive mappings defined on an ultrametric space and non-Archimedean normed space which are endowed with a graph. In particular, we investigate the relationship between weak connectivity graph and the existence of fixed point for these mappings. AMS Subject Classification: 47H10, 32P05.
{"title":"Some fixed point theorems for G-nonexpansive mappings on ultrametric spaces and non-Archimedean normed spaces with a graph","authors":"H. Mamghaderi, H. Masiha","doi":"10.7862/RF.2016.6","DOIUrl":"https://doi.org/10.7862/RF.2016.6","url":null,"abstract":"A very interesting approach in the theory of fixed point is some general structures was recently given by Jachymski by using the context of metric spaces endowed with a graph. The purpose of this article is to present some new fixed point results for G-nonexpansive mappings defined on an ultrametric space and non-Archimedean normed space which are endowed with a graph. In particular, we investigate the relationship between weak connectivity graph and the existence of fixed point for these mappings. AMS Subject Classification: 47H10, 32P05.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"31 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":"129077783","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：