The well-known classical Tauberian theorems given for Aλ (the discrete Abel mean) by Armitage and Maddox in [Armitage, H. D and Maddox, J. I., Discrete Abel means, Analysis, 10 (1990), 177–186] is generalized. Similarly the ”one-sided” Tauberian theorems of Landau and Schmidt for the Abel method are extended by replacing lim As with Abel-lim Aσi n(s). Slowly oscillating of {sn} is a Tauberian condition of the Hardy-Littlewood Tauberian theorem for Borel summability which is also given by replacing limt(Bs)t = `, where t is a continuous parameter, with limn(Bs)n = `, and further replacing it by Abel-lim(Bσi k (s))n = `, where B is the Borel matrix method.
由Armitage和Maddox在[Armitage, H. D和Maddox, J.I, discrete Abel means, Analysis, 10(1990)， 177-186]中给出的关于λ(离散Abel均值)的著名经典Tauberian定理得到了推广。类似地，通过用Abel-lim Aσin(s)代替lim a，扩展了Landau和Schmidt关于abel方法的“单侧”Tauberian定理。{sn}的慢振荡是Hardy-LittlewoodTauberian定理关于Borel可和性的一个Tauberian条件，该条件也可以通过将t为连续参数的limn(Bs)n = '替换为limn(Bs)n = '，再将其替换为Abel-lim(Bσik(s))n = '来给出，其中B为Borel矩阵方法。
{"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}
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.
{"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}
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.
本文的主要目的是研究函数f: Rm→Rm的导数的谱半径与其迭代导数的谱半径之间的关系，并通过对两个或多个变量映射的数值实验进行了研究。通过这种方式，我们给出了[Rus, I. a .，关于全局渐近稳定性的La Salle猜想的注释，不动点理论，17 (2016)，No. 1, 159-172]和[Rus, I. a .，关于全局渐近稳定性的一个猜想，在“不动点的迭代逼近”研讨会上交流，SYNASC2017, Timis, 2017年9月21-24日]中提出的一个开放问题的部分答案，并图解说明了这个问题在一般情况下的重要性和难度。本文还提出了一个关于收敛域的开放性问题。
{"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}
The two-stage supply chain problem with fixed costs consists of designing a mimimum distribution cost configuration of the manufacturers, distribution centers and retailers in a distribution network, satisfying the capacity constraints of the manufacturers and distribution centers so as to meet the retailers specific demands. The aim of this work is to pinpoint some inaccuracies regarding the paper entitled ”A two-stage supply chain problem with fixed costs: An ant colony optimization approach” by Hong et al. published in International Journal of Production Economics, Vol. 204, pp. 214–226 (2018) and to propose a valid mixed integer programming based mathematical model of the problem. The comments are related to the mathematical formulation proposed by Hong et al. and the considered test instances.
固定成本的两阶段供应链问题是在满足制造商和分销中心的能力约束的情况下，设计一个分销网络中制造商、分销中心和零售商的最小分销成本配置，以满足零售商的特定需求。这项工作的目的是指出Hong等人发表在《国际生产经济学杂志》上的题为“具有固定成本的两阶段供应链问题:蚁群优化方法”的论文中的一些不准确之处。204, pp. 214-226(2018)，并提出了一个有效的基于混合整数规划的问题数学模型。这些评论与Hong等人提出的数学公式和考虑的测试实例有关。
{"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}
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).
{"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}
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