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Generalized integral type mappings on orthogonal metric spaces 正交度量空间上的广义积分型映射
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI: 10.15330/cmp.14.2.485-492
Ö. Acar, E. Erdoğan, A. S. Özkapu
{"title":"Generalized integral type mappings on orthogonal metric spaces","authors":"Ö. Acar, E. Erdoğan, A. S. Özkapu","doi":"10.15330/cmp.14.2.485-492","DOIUrl":"https://doi.org/10.15330/cmp.14.2.485-492","url":null,"abstract":"This study is devoted to investigate the problem whether the existence and uniqueness of integral type contraction mappings on orthogonal metric spaces. At the end, we give an example to illustrative our main result.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"28 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81795648","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
Generalized fractional inequalities of the Hermite-Hadamard type via new Katugampola generalized fractional integrals 基于新Katugampola广义分数积分的Hermite-Hadamard型广义分数不等式
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI: 10.15330/cmp.14.2.475-484
M. Omaba
{"title":"Generalized fractional inequalities of the Hermite-Hadamard type via new Katugampola generalized fractional integrals","authors":"M. Omaba","doi":"10.15330/cmp.14.2.475-484","DOIUrl":"https://doi.org/10.15330/cmp.14.2.475-484","url":null,"abstract":"A new generalization of the Katugampola generalized fractional integrals in terms of the Mittag-Leffler functions is proposed. Consequently, new generalizations of the Hermite-Hadamard inequalities by this newly proposed fractional integral operator, for a positive convex stochastic process, are established. Other known results are easily deduced as particular cases of these inequalities. The obtained results also hold for any convex function.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80013707","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
Existence and stability of traveling waves in parabolic systems of differential equations with weak diffusion 弱扩散抛物型微分方程系统中行波的存在性与稳定性
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI: 10.15330/cmp.14.2.493-503
I. Klevchuk
{"title":"Existence and stability of traveling waves in parabolic systems of differential equations with weak diffusion","authors":"I. Klevchuk","doi":"10.15330/cmp.14.2.493-503","DOIUrl":"https://doi.org/10.15330/cmp.14.2.493-503","url":null,"abstract":"The aim of the present paper is to investigate of some properties of periodic solutions of a nonlinear autonomous parabolic systems with a periodic condition. We investigate parabolic systems of differential equations using an integral manifolds method of the theory of nonlinear oscillations. We prove the existence of periodic solutions in an autonomous parabolic system of differential equations with weak diffusion on the circle. We study the existence and stability of an arbitrarily large finite number of cycles for a parabolic system with weak diffusion. The periodic solution of parabolic equation is sought in the form of traveling wave. A representation of the integral manifold is obtained. We seek a solution of parabolic system with the periodic condition in the form of a Fourier series in the complex form and introduce a norm in the space of the coefficients in the Fourier expansion. We use the normal forms method in the general parabolic system of differential equations with retarded argument and weak diffusion. We use bifurcation theory for delay differential equations and quasilinear parabolic equations. The existence of periodic solutions in an autonomous parabolic system of differential equations on the circle with retarded argument and small diffusion is proved. The problems of existence and stability of traveling waves in the parabolic system with retarded argument and weak diffusion are investigated.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"61 4 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90122018","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
The best approximation of closed operators by bounded operators in Hilbert spaces 希尔伯特空间中有界算子对闭算子的最佳逼近
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI: 10.15330/cmp.14.2.453-463
V. Babenko, N. Parfinovych, D. Skorokhodov
{"title":"The best approximation of closed operators by bounded operators in Hilbert spaces","authors":"V. Babenko, N. Parfinovych, D. Skorokhodov","doi":"10.15330/cmp.14.2.453-463","DOIUrl":"https://doi.org/10.15330/cmp.14.2.453-463","url":null,"abstract":"We solve the problem of the best approximation of closed operators by linear bounded operators in Hilbert spaces under assumption that the operator transforms orthogonal basis in Hilbert space into an orthogonal system. As a consequence, sharp additive Hardy-Littlewood-Pólya type inequality for multiple closed operators is established. We also demonstrate application of these results in concrete situations: for the best approximation of powers of the Laplace-Beltrami operator on classes of functions defined on closed Riemannian manifolds, for the best approximation of differentiation operators on classes of functions defined on the period and on the real line with the weight $e^{-x^2}$, and for the best approximation of functions of self-adjoint operators in Hilbert spaces.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"53 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86725372","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 $A$-statistical convergence and $A$-statistical Cauchy via idea 基于思想的$A$统计收敛与$A$统计柯西
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI: 10.15330/cmp.14.2.442-452
O. H. Edely, M. Mursaleen
{"title":"On $A$-statistical convergence and $A$-statistical Cauchy via idea","authors":"O. H. Edely, M. Mursaleen","doi":"10.15330/cmp.14.2.442-452","DOIUrl":"https://doi.org/10.15330/cmp.14.2.442-452","url":null,"abstract":"In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{ast }}$-statistical convergence and find under certain conditions, that it is equivalent to $A^{I}$-statistical convergence defined in [Appl. Math. Lett. 2012, 25 (4), 733-738]. Moreover, we define $A^{I}$-  and $A^{I^{ast }}$-statistical Cauchy sequences and find some equivalent relation with $A^{I}$-  and $A^{I^{ast }}$-statistical convergence.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"50 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73314077","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
Further investigations on unique range set under weight 0 and 1 权值0和1下唯一范围集的进一步研究
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI: 10.15330/cmp.14.2.504-512
A. Banerjee, S. Maity
{"title":"Further investigations on unique range set under weight 0 and 1","authors":"A. Banerjee, S. Maity","doi":"10.15330/cmp.14.2.504-512","DOIUrl":"https://doi.org/10.15330/cmp.14.2.504-512","url":null,"abstract":"In this paper, we have found the most generalized form of famous Frank-Reinders polynomial. With the help of the same, we have investigated on the unique range set of meromorphic function under two smallest possible weights namely 0 and 1. Our results extend some existing results in the literature.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"5 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88495949","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 equitable near-proper coloring of some derived graph classes 若干派生图类的公平近适当着色
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI: 10.15330/cmp.14.2.529-542
S. Jose, S. Naduvath
{"title":"On equitable near-proper coloring of some derived graph classes","authors":"S. Jose, S. Naduvath","doi":"10.15330/cmp.14.2.529-542","DOIUrl":"https://doi.org/10.15330/cmp.14.2.529-542","url":null,"abstract":"An equitable near-proper coloring of a graph $G$ is a defective coloring in which the number of vertices in any two color classes differ by at most one and the bad edges obtained is minimised by restricting the number of color classes that can have adjacency among their own elements. This paper investigates the equitable near-proper coloring of some derived graph classes like Mycielski graphs, splitting graphs and shadow graphs.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"28 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88993296","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
Fekete-Szegö inequality for a subclass of analytic functions associated with Gegenbauer polynomials Fekete-Szegö与Gegenbauer多项式相关的解析函数子类的不等式
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI: 10.15330/cmp.14.2.582-591
M. Kamali
{"title":"Fekete-Szegö inequality for a subclass of analytic functions associated with Gegenbauer polynomials","authors":"M. Kamali","doi":"10.15330/cmp.14.2.582-591","DOIUrl":"https://doi.org/10.15330/cmp.14.2.582-591","url":null,"abstract":"In this paper, we define a subclass of analytic functions by denote $T_{beta}Hleft( z,C_{n}^{left( lambda right) }left( tright) right) $ satisfying the following subordinate condition begin{equation*} left( 1-beta right) left( frac{zf^{^{prime }}left( zright) }{fleft( zright) }right) +beta left( 1+frac{zf^{^{prime prime }}left( zright) }{f^{^{prime }}left( zright) }right) prec frac{1}{left( 1-2tz+z^{2}right) ^{lambda }}, end{equation*} where $beta geq 0$, $lambda geq 0$ and $tin left( frac{1}{2},1right] $. We give coefficient estimates and Fekete-Szegö inequality for functions belong to this subclass.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"175 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85416846","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 a nonlocal problem for the first-order differential-operator equations 一阶微分算子方程的非局部问题
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI: 10.15330/cmp.14.2.513-528
V. Horodets’kyi, O. Martynyuk, R. Kolisnyk
{"title":"On a nonlocal problem for the first-order differential-operator equations","authors":"V. Horodets’kyi, O. Martynyuk, R. Kolisnyk","doi":"10.15330/cmp.14.2.513-528","DOIUrl":"https://doi.org/10.15330/cmp.14.2.513-528","url":null,"abstract":"In this work, we study the spaces of generalised elements identified with formal Fourier series and constructed via a non-negative self-adjoint operator in Hilbert space. The spectrum of this operator is purely discrete. For a differential-operator equation of the first order, we formulate a nonlocal multipoint by time problem if the corresponding condition is satisfied in a positive or negative space that is constructed via such operator; such problem can be treated as a generalisation of an abstract Cauchy problem for the specified differential-operator equation. The correct solvability of the aforementioned problem is proven, a fundamental solution is constructed, and its structure and properties are studied. The solution is represented as an abstract convolution of a fundamental solution with a boundary element. This boundary element is used to formulate a multipoint condition, and it is a linear continuous functional defined in the space of main elements. Furthermore, this solution satisfies multipoint condition in a negative space that is adjoint with a corresponding positive space of elements.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"29 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87765866","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
Characterization of matrix transformation of complex uncertain sequences via expected value operator 用期望值算子表征复不确定序列的矩阵变换
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-12-02 DOI: 10.15330/cmp.14.2.419-428
B. Das, P. Debnath, B. Tripathy
{"title":"Characterization of matrix transformation of complex uncertain sequences via expected value operator","authors":"B. Das, P. Debnath, B. Tripathy","doi":"10.15330/cmp.14.2.419-428","DOIUrl":"https://doi.org/10.15330/cmp.14.2.419-428","url":null,"abstract":"The aim of this paper is to study the concept of matrix transformation between complex uncertain sequences in mean. The characterization of the matrix transformation has been made by applying the concept of convergence of complex uncertain series. Moreover, in this context, some well-known theorems of real sequence spaces have been established by considering complex uncertain sequence via expected value operator.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"36 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78047108","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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