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Abel extensions of some classical Tauberian theorems 一些经典陶伯利定理的阿贝尔推广
Creative Mathematics and Informatics Pub Date : 1900-01-01 DOI: 10.37193/cmi.2019.02.02
Erdal Gül, Mehmet Albayrak
{"title":"Abel extensions of some classical Tauberian theorems","authors":"Erdal Gül, Mehmet Albayrak","doi":"10.37193/cmi.2019.02.02","DOIUrl":"https://doi.org/10.37193/cmi.2019.02.02","url":null,"abstract":"The well-known classical Tauberian theorems given for Aλ (the discrete Abel mean) by Armitage and Maddox in [Armitage, H. D and Maddox, J.\u0000I., Discrete Abel means, Analysis, 10 (1990), 177–186] is generalized. Similarly the ”one-sided” Tauberian theorems of Landau and Schmidt for the\u0000Abel method are extended by replacing lim As with Abel-lim Aσi\u0000n(s). Slowly oscillating of {sn} is a Tauberian condition of the Hardy-Littlewood\u0000Tauberian theorem for Borel summability which is also given by replacing limt(Bs)t = `, where t is a continuous parameter, with limn(Bs)n = `,\u0000and further replacing it by Abel-lim(Bσi\u0000k\u0000(s))n = `, where B is the Borel matrix method.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"21 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":"114212377","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
Geometrical characteristics of the stability domain in the restricted problem of eight bodies 八体受限问题稳定域的几何特征
Creative Mathematics and Informatics Pub Date : 1900-01-01 DOI: 10.37193/cmi.2019.01.07
E. Cebotaru
{"title":"Geometrical characteristics of the stability domain in the restricted problem of eight bodies","authors":"E. Cebotaru","doi":"10.37193/cmi.2019.01.07","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.07","url":null,"abstract":"The eight-body Newtonian problem is studied. Applying the symbolic calculation system Mathematica the stationary solutions, their stability in numerical form and the geometric characteristics of the stability domain are studied.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","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":"131543517","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
On an open problem regarding the spectral radius of the derivatives of a function and of its iterates 关于一个函数的导数及其迭代函数的谱半径的开放问题
Creative Mathematics and Informatics Pub Date : 1900-01-01 DOI: 10.37193/cmi.2019.01.05
V. Berinde, Ş. Măruşter, I. Rus
{"title":"On an open problem regarding the spectral radius of the derivatives of a function and of its iterates","authors":"V. Berinde, Ş. Măruşter, I. Rus","doi":"10.37193/cmi.2019.01.05","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.05","url":null,"abstract":"The main aim of this note is to investigate empirically the relationship between the spectral radius of the derivative of a function f : Rm → Rm and the spectral radius of the derivatives of its iterates, which is done by means of some numerical experiments for mappings of two and more variables. In this way we give a partial answer to an open problem raised in [Rus, I. A., Remark on a La Salle conjecture on global asymptotic stability, Fixed Point Theory, 17 (2016), No. 1, 159–172] and [Rus, I. A., A conjecture on global asymptotic stability, communicated at the Workshop ”Iterative Approximation of Fixed Points”, SYNASC2017, Timis¸oara, 21-24 September 2017] and also illustrate graphically the importance and difficulty of this problem in the general context. An open problem regarding the domains of convergence is also proposed.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","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":"133992541","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
Comments on “A two-stage supply chain problem with fixed costs: An ant colony optimization approach” by Hong et al. International Journal of Production Economics (2018) 对Hong等人的《具有固定成本的两阶段供应链问题:蚁群优化方法》的评论。国际生产经济学杂志(2018)
Creative Mathematics and Informatics Pub Date : 1900-01-01 DOI: 10.37193/cmi.2019.02.09
C. Sabo, Andrei HORVAT MARC, Petrica C. POP
{"title":"Comments on “A two-stage supply chain problem with fixed costs: An ant colony optimization approach” by Hong et al. International Journal of Production Economics (2018)","authors":"C. Sabo, Andrei HORVAT MARC, Petrica C. POP","doi":"10.37193/cmi.2019.02.09","DOIUrl":"https://doi.org/10.37193/cmi.2019.02.09","url":null,"abstract":"The two-stage supply chain problem with fixed costs consists of designing a mimimum distribution cost configuration of the manufacturers,\u0000distribution centers and retailers in a distribution network, satisfying the capacity constraints of the manufacturers and distribution centers so as\u0000to meet the retailers specific demands. The aim of this work is to pinpoint some inaccuracies regarding the paper entitled ”A two-stage supply\u0000chain problem with fixed costs: An ant colony optimization approach” by Hong et al. published in International Journal of Production Economics,\u0000Vol. 204, pp. 214–226 (2018) and to propose a valid mixed integer programming based mathematical model of the problem. The comments are\u0000related to the mathematical formulation proposed by Hong et al. and the considered test instances.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","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":"123268366","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
Some properties of the analytic functions with bounded radius rotation 有界半径旋转解析函数的一些性质
Creative Mathematics and Informatics Pub Date : 1900-01-01 DOI: 10.37193/cmi.2019.01.12
Y. Polatoglu, A. Çetinkaya, Oya Mert
{"title":"Some properties of the analytic functions with bounded radius rotation","authors":"Y. Polatoglu, A. Çetinkaya, Oya Mert","doi":"10.37193/cmi.2019.01.12","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.12","url":null,"abstract":"In the present paper, we introduce a new subclass of normalized analytic starlike functions by using bounded radius rotation associated with q- analogues in the open unit disc mathbb D. We investigate growth theorem, radius of starlikeness and coefficient estimate for the new subclass of starlike functions by using bounded radius rotation associated with q- analogues denoted by mathcal{R}_k(q), where kgeq2, qin(0,1).","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"39 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":"121416074","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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