{"title":"Solvability of a Quadratic Integral Equation of Fredholm Type Via a Modified Argument","authors":"İlyas Dal, Ö. Temizer","doi":"10.7862/rf.2020.3","DOIUrl":"https://doi.org/10.7862/rf.2020.3","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"79 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":"125426952","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}
: 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}
{"title":"Close-to-convexity properties of basic hypergeometric functions using their Taylor coefficients","authors":"K. Raghavendar, A. Swaminathan","doi":"10.7862/RF.2012.5","DOIUrl":"https://doi.org/10.7862/RF.2012.5","url":null,"abstract":"","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":"128281780","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 establish turnpike results for a nonautonomous discrete-time optimal control system describing a model of economic dynamics. AMS Subject Classification: 49J99, 91B55, 91B62
{"title":"Structure of solutions of nonautonomous optimal control problems in metric spaces","authors":"A. Zaslavski","doi":"10.7862/RF.2015.12","DOIUrl":"https://doi.org/10.7862/RF.2015.12","url":null,"abstract":"We establish turnpike results for a nonautonomous discrete-time optimal control system describing a model of economic dynamics. AMS Subject Classification: 49J99, 91B55, 91B62","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"61 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":"128523580","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 introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces. AMS Subject Classification: 40A05, 46A45, 46B70.
{"title":"Some strongly almost summable sequence spaces","authors":"S. Sharma, A. Esi","doi":"10.7862/RF.2017.12","DOIUrl":"https://doi.org/10.7862/RF.2017.12","url":null,"abstract":"In the present paper we introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces. AMS Subject Classification: 40A05, 46A45, 46B70.","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":"123850911","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 main purpose of this paper is to give two instability theorems to fourth order nonlinear differential equations with a variable deviating argument. AMS Subject Classification: 34K20
{"title":"Instability to differential equations of fourth order with a variable deviating argument","authors":"C. Tunç","doi":"10.7862/RF.2013.10","DOIUrl":"https://doi.org/10.7862/RF.2013.10","url":null,"abstract":"The main purpose of this paper is to give two instability theorems to fourth order nonlinear differential equations with a variable deviating argument. AMS Subject Classification: 34K20","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"79 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":"124494072","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 focuses on the problem concerning the location and the number of zeros of polynomials in a specific region when their coefficients are restricted with special conditions. We obtain extensions of some classical results concerning the number of zeros of polynomials in a prescribed region by imposing the restrictions on the moduli of the coefficients, the real parts(only) of the coefficients, and the real and imaginary parts of the coefficients. AMS Subject Classification: 30A99, 30E10, 41A10.
{"title":"Number of Zeros of a Polynomial in a Specific Region with Restricted Coefficients","authors":"A. Mir, Abrar Ahmad, A. Malik","doi":"10.7862/rf.2019.9","DOIUrl":"https://doi.org/10.7862/rf.2019.9","url":null,"abstract":"This paper focuses on the problem concerning the location and the number of zeros of polynomials in a specific region when their coefficients are restricted with special conditions. We obtain extensions of some classical results concerning the number of zeros of polynomials in a prescribed region by imposing the restrictions on the moduli of the coefficients, the real parts(only) of the coefficients, and the real and imaginary parts of the coefficients. AMS Subject Classification: 30A99, 30E10, 41A10.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","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":"124555479","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":"A Sandwich Type Hahn-Banach Theorem for Convex and Concave Functionals","authors":"Jingshi Xu","doi":"10.7862/rf.2021.9","DOIUrl":"https://doi.org/10.7862/rf.2021.9","url":null,"abstract":"","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":"114443874","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 investigate the third Hankel determinant problem for some starlike functions in the open unit disc, that are related to shelllike curves and connected with Fibonacci numbers. For this, firstly, we prove a conjecture, posed in [17], for sharp upper bound of second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions. AMS Subject Classification: 30C45, 30C50.
{"title":"An upper bound for third Hankel determinant of starlike functions related to shell-like curves connected with Fibonacci numbers","authors":"Janusz Sokół, S. Ilhan, H. Özlem Güney","doi":"10.7862/RF.2018.14","DOIUrl":"https://doi.org/10.7862/RF.2018.14","url":null,"abstract":"We investigate the third Hankel determinant problem for some starlike functions in the open unit disc, that are related to shelllike curves and connected with Fibonacci numbers. For this, firstly, we prove a conjecture, posed in [17], for sharp upper bound of second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions. AMS Subject Classification: 30C45, 30C50.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"8 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":"127777716","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}
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