By using the value of the second derivative of the function at 0, along with the values of the function and its first derivative at 0, we have obtained a refinement of well known Schwarz’s lemma and have used this refinement to obtain refinements, of Aziz and Rather’s inequalities [2004] for a polynomial of degree n having no zeros in |z| < k, (k ≥ 1). AMS Subject Classification: Primary 30A10, Secondary 30C10.
{"title":"A Refinement of Schwarz's Lemma and its Applications","authors":"V. K. Jain","doi":"10.7862/RF.2016.5","DOIUrl":"https://doi.org/10.7862/RF.2016.5","url":null,"abstract":"By using the value of the second derivative of the function at 0, along with the values of the function and its first derivative at 0, we have obtained a refinement of well known Schwarz’s lemma and have used this refinement to obtain refinements, of Aziz and Rather’s inequalities [2004] for a polynomial of degree n having no zeros in |z| < k, (k ≥ 1). AMS Subject Classification: Primary 30A10, Secondary 30C10.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"92 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":"130812949","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 prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic differential equations with infinite delay in Hilbert spaces. In addition, the controllability of the system with nonlocal conditions and infinite delay is studied. An example is provided to illustrate the obtained theory. AMS Subject Classification: 65C30, 93B05, 34K40, 34K45.
{"title":"Existence and controllability results for Sobolev-type fractional impulsive stochastic differential equations with infinite delay","authors":"A. Boudaoui, Abdeldjalil Slama","doi":"10.7862/RF.2017.3","DOIUrl":"https://doi.org/10.7862/RF.2017.3","url":null,"abstract":"In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic differential equations with infinite delay in Hilbert spaces. In addition, the controllability of the system with nonlocal conditions and infinite delay is studied. An example is provided to illustrate the obtained theory. AMS Subject Classification: 65C30, 93B05, 34K40, 34K45.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"6 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":"130834127","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}
Work is devoted to generalization of a differential method of spatial characteristics to case of the flat task about distribution of waves in rectangular area of the final sizes with gaps in boundary conditions. On the basis of the developed numerical technique are received the settlement certainly differential ratios of dynamic tasks in special points of front border of rectangular area, where boundary conditions on coordinate aren’t continuous. They suffer a rupture of the first sort in points in which action P figurative dynamic loading begins. Results of research are brought to the numerical decision. AMS Subject Classification: isotropic environment, dynamic load, plane deformation, special point, tension, speed, wave progress, numerical solution, algorithm
{"title":"Influence of boundary conditions on 2D wave propagation in a rectangle","authors":"N. Ashirbayev, J. N. Ashirbayeva","doi":"10.7862/RF.2013.3","DOIUrl":"https://doi.org/10.7862/RF.2013.3","url":null,"abstract":"Work is devoted to generalization of a differential method of spatial characteristics to case of the flat task about distribution of waves in rectangular area of the final sizes with gaps in boundary conditions. On the basis of the developed numerical technique are received the settlement certainly differential ratios of dynamic tasks in special points of front border of rectangular area, where boundary conditions on coordinate aren’t continuous. They suffer a rupture of the first sort in points in which action P figurative dynamic loading begins. Results of research are brought to the numerical decision. AMS Subject Classification: isotropic environment, dynamic load, plane deformation, special point, tension, speed, wave progress, numerical solution, algorithm","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"29 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":"126768990","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":"Boolean Algebra of One-Point Local Compactifications","authors":"Artur Polański","doi":"10.7862/rf.2020.8","DOIUrl":"https://doi.org/10.7862/rf.2020.8","url":null,"abstract":": For a given locally compact Hausdorff space we introduce a Boolean algebra structure on the family of all its one-point local compactifications.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"26 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":"124924671","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 the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and starlikeness and convolution properties for the defined class of functions. AMS Subject Classification: Primary 30C45, secondary 30C80
{"title":"On a class of meromorphic functions defined by the convolution","authors":"J. Dziok, J. Sokół, J. Stankiewicz","doi":"10.7862/RF.2015.5","DOIUrl":"https://doi.org/10.7862/RF.2015.5","url":null,"abstract":"In the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and starlikeness and convolution properties for the defined class of functions. AMS Subject Classification: Primary 30C45, secondary 30C80","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"46 3 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":"116510074","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":"On differential sandwich theorems of analytic functions defined by certain generalized linear operator","authors":"T. Seoudy, M. Aouf","doi":"10.7862/RF.2014.9","DOIUrl":"https://doi.org/10.7862/RF.2014.9","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"38 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":"123400794","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 present article, we discuss voronowskaya type theorem, weighted approximation in terms of weighted modulus of continuity for Szász type operators using Sheffer polynomials. Lastly, we investigate statistical approximation for these sequences. AMS Subject Classification: 41A10, 41A25, 41A36.
{"title":"Approximation by Szász type operators including Sheffer polynomials","authors":"N. Rao, A. Wafi, A. Deepmala","doi":"10.7862/RF.2017.9","DOIUrl":"https://doi.org/10.7862/RF.2017.9","url":null,"abstract":"In present article, we discuss voronowskaya type theorem, weighted approximation in terms of weighted modulus of continuity for Szász type operators using Sheffer polynomials. Lastly, we investigate statistical approximation for these sequences. AMS Subject Classification: 41A10, 41A25, 41A36.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"14 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":"123716247","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}
: This paper considers a manpower system modelled within the Markov chain context under the condition that recruitment is done to replace outgoing flows. The paper takes up the embeddability problem in a three-grade manpower system and examines it from the standpoint of generating function (i.e., the z-transform of stochastic matrices). The method constructs a stochastic matrix that is made up of a limiting-state probability matrix and a partial sum of transient matrices. Examples are provided to illustrate the utility of the method.
{"title":"On the Alternative Structures for a Three-Grade Markov Manpower System","authors":"Vincent A. Amenaghawon, V. Ekhosuehi, A. Osagiede","doi":"10.7862/rf.2020.1","DOIUrl":"https://doi.org/10.7862/rf.2020.1","url":null,"abstract":": This paper considers a manpower system modelled within the Markov chain context under the condition that recruitment is done to replace outgoing flows. The paper takes up the embeddability problem in a three-grade manpower system and examines it from the standpoint of generating function (i.e., the z-transform of stochastic matrices). The method constructs a stochastic matrix that is made up of a limiting-state probability matrix and a partial sum of transient matrices. Examples are provided to illustrate the utility of the method.","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":"122838567","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 are concerned with the asymptotic behavior of random (unrestricted) infinite products of nonexpansive self-mappings of closed and convex subsets of a complete hyperbolic space. In contrast with our previous work in this direction, we no longer assume that these subsets are bounded. We first establish two theorems regarding the stability of the random weak ergodic property and then prove a related generic result. These results also extend our recent investigations regarding nonrandom infinite products.
{"title":"Ergodic properties of random infinite products of nonexpansive mappings","authors":"S. Reich, A. Zaslavski","doi":"10.7862/RF.2017.10","DOIUrl":"https://doi.org/10.7862/RF.2017.10","url":null,"abstract":": In this paper we are concerned with the asymptotic behavior of random (unrestricted) infinite products of nonexpansive self-mappings of closed and convex subsets of a complete hyperbolic space. In contrast with our previous work in this direction, we no longer assume that these subsets are bounded. We first establish two theorems regarding the stability of the random weak ergodic property and then prove a related generic result. These results also extend our recent investigations regarding nonrandom infinite products.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","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":"129851379","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}
Let 2 denote the space of all prime sense double gai sequences and 2 the space of all prime sense double analytic sequences. This paper is devoted to the general properties of 2 :
设2表示所有素义二重解析序列的空间，2表示所有素义二重解析序列的空间。本文研究2的一般性质:
{"title":"On a study of double gai sequence space","authors":"N. Subramanian, U. Misra","doi":"10.7862/RF.2013.9","DOIUrl":"https://doi.org/10.7862/RF.2013.9","url":null,"abstract":"Let 2 denote the space of all prime sense double gai sequences and 2 the space of all prime sense double analytic sequences. This paper is devoted to the general properties of 2 :","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"11 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":"129547992","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：