In this paper we are concerned with the computation of the antiderivatives on R of a special class of continuous periodic functions. Finally, some applications of the main result are presented.
本文研究了一类特殊的连续周期函数在R上的不定积分的计算。最后，给出了主要结果的一些应用。
{"title":"On the computation of the antiderivatives on R of a class of continuous periodic functions","authors":"Dan Barbosu, V. Berinde","doi":"10.37193/cmi.2019.01.04","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.04","url":null,"abstract":"In this paper we are concerned with the computation of the antiderivatives on R of a special class of continuous periodic functions. Finally, some applications of the main result are presented.","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":"129653923","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 present the local as well as the semi-local convergence of some iterative methods free of derivatives for Banach space valued operators. These methods contain the secant and the Kurchatov method as special cases. The convergence is based on weak hypotheses specializing to Lipschitz continuous or Holder continuous hypotheses. The results are of theoretical and practical interest. In particular the method is compared favorably ¨ to other methods using concrete numerical examples to solve systems of equations containing a nondifferentiable term.
{"title":"Convergence of derivative free iterative methods","authors":"I. Argyros, S. George","doi":"10.37193/cmi.2019.01.03","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.03","url":null,"abstract":"We present the local as well as the semi-local convergence of some iterative methods free of derivatives for Banach space valued operators. These methods contain the secant and the Kurchatov method as special cases. The convergence is based on weak hypotheses specializing to Lipschitz continuous or Holder continuous hypotheses. The results are of theoretical and practical interest. In particular the method is compared favorably ¨ to other methods using concrete numerical examples to solve systems of equations containing a nondifferentiable term.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"22 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":"131499581","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":"Some results on augmented Zagreb index of some trees and unicyclic graphs","authors":"A. Bharali, N. Konch","doi":"10.37193/cmi.2019.01.06","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.06","url":null,"abstract":"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"16 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":"127866036","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 the stability of two functional equations arising in mathematical biology and theory of learning","authors":"A. Şahin, Hakan Arısoy, Zeynep Kalkan","doi":"10.37193/cmi.2019.01.13","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.13","url":null,"abstract":"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"41 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":"132574276","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}
Using the geometric dynamic of an iterative process (Theorem 2.1), we obtain refinements to some famous geometric inequalities in a triangle by constructing interpolating sequences.
利用迭代过程的几何动力学(定理2.1)，通过构造插值序列，得到了三角形中一些著名几何不等式的改进。
{"title":"Sequences interpolating some geometric inequalities","authors":"D. Andrica, Ştefan Marinescu","doi":"10.37193/cmi.2019.01.02","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.02","url":null,"abstract":"Using the geometric dynamic of an iterative process (Theorem 2.1), we obtain refinements to some famous geometric inequalities in a triangle by constructing interpolating sequences.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","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":"123597217","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 polynomial functional equations of the form af(p(x)) + bf(q(x)) = g(x), where p(x), q(x) are given polynomials and g(x) is a given function. Theorems 21 and 22 contain sufficient conditions under which the functional equation has a solution of the special form. In Section 3 we present an algorithm of constructing polynomial solutions of the functional equations. Other non-polynomial solutions depend on solutions of the homogeneous equation af(p(x)) + bf(q(x)) = 0. That case is analyzed in Section 4. Finally, we present a simple method of constructing examples with desirable properties.
{"title":"On solutions of functional equations with polynomial translations","authors":"M. Choban, Larisa Sali","doi":"10.37193/CMI.2019.01.08","DOIUrl":"https://doi.org/10.37193/CMI.2019.01.08","url":null,"abstract":"In this paper, we study polynomial functional equations of the form af(p(x)) + bf(q(x)) = g(x), where p(x), q(x) are given polynomials and g(x) is a given function. Theorems 21 and 22 contain sufficient conditions under which the functional equation has a solution of the special form. In Section 3 we present an algorithm of constructing polynomial solutions of the functional equations. Other non-polynomial solutions depend on solutions of the homogeneous equation af(p(x)) + bf(q(x)) = 0. That case is analyzed in Section 4. Finally, we present a simple method of constructing examples with desirable properties.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","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":"122034377","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}
Nowadays, routing problems arise in different contexts of distribution of goods, transportation of commodities and people. Routing problems deals with traveling along a given network in an optimal way. One of the major goals in optimization, including optimization of routing problems, is to reduce the time of stagnation by finding an exit state. The current work is a study about the ability of ants to escape from solution stagnation on a particular routing problem, the Traveling Salesman Problem.
{"title":"Escape from solutions stagnation. A Study on Ant System solving TSP","authors":"C. Pintea, B. Iantovics, P. Pop, M. Dehmer","doi":"10.37193/cmi.2019.01.11","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.11","url":null,"abstract":"Nowadays, routing problems arise in different contexts of distribution of goods, transportation of commodities and people. Routing problems deals with traveling along a given network in an optimal way. One of the major goals in optimization, including optimization of routing problems, is to reduce the time of stagnation by finding an exit state. The current work is a study about the ability of ants to escape from solution stagnation on a particular routing problem, the Traveling Salesman Problem.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","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":"130298133","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 consider a general subclass H_{Sigma _{m}}(beta ) of Sigma _{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disc mathcal{U}. An estimate for the second Hankel determinant for m-fold symmetric bi-univalent functions are determined.
{"title":"Hankel determinant for m-fold symmetric bi-univalent functions","authors":"Ş. Altınkaya, S. Yalçın","doi":"10.37193/cmi.2019.01.01","DOIUrl":"https://doi.org/10.37193/cmi.2019.01.01","url":null,"abstract":"In this paper, we consider a general subclass H_{Sigma _{m}}(beta ) of Sigma _{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disc mathcal{U}. An estimate for the second Hankel determinant for m-fold symmetric bi-univalent functions are determined.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"22 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":"128775388","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 concept of gamma-generalized quasi-metric spaces is newly introduced in this paper with the symmetry assumption removed. The existence of fixed points of our newly introduced (gamma-phi)-contraction mappings, defined on gamma-generalized quasi-metric spaces, is proved. Our results generalize many known related results in literature.
{"title":"Fixed point theorems on a γ-generalized quasi-metric spaces","authors":"Adewale Olusola Kayode, Olaleru Johnson, Olaoluwa Hallowed, Akewe Hudson","doi":"10.37193/cmi.2019.02.05","DOIUrl":"https://doi.org/10.37193/cmi.2019.02.05","url":null,"abstract":"The concept of gamma-generalized quasi-metric spaces is newly introduced in this paper with the symmetry assumption removed. The existence of fixed points of our newly introduced (gamma-phi)-contraction mappings, defined on gamma-generalized quasi-metric spaces, is proved. Our results generalize many known related results in literature.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"33 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":"124970079","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 concepts of Wijsman invariant convergence, Wijsman invariant statistical convergence, Wijsman lacunary invariant convergence, Wijsman lacunary invariant statistical convergence for double sequences of sets. Also, we investigate existence of some relations among these new convergence concepts for double sequences of sets.
{"title":"Lacunary invariant statistical convergence of double sequences of sets","authors":"F. Nuray, Uǧur Ulusu","doi":"10.37193/cmi.2019.02.06","DOIUrl":"https://doi.org/10.37193/cmi.2019.02.06","url":null,"abstract":"In this paper, we introduce the concepts of Wijsman invariant convergence, Wijsman invariant statistical convergence, Wijsman lacunary invariant\u0000convergence, Wijsman lacunary invariant statistical convergence for double sequences of sets. Also, we investigate existence of some relations\u0000among these new convergence concepts for double sequences of sets.","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":"131243122","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：