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Carpathian Mathematical Publications最新文献

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On generalized double almost statistical convergence of weight $g$ 权$g$的广义二重概统计收敛性
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-11-13 DOI: 10.15330/cmp.14.2.388-394
E. Savaş
{"title":"On generalized double almost statistical convergence of weight $g$","authors":"E. Savaş","doi":"10.15330/cmp.14.2.388-394","DOIUrl":"https://doi.org/10.15330/cmp.14.2.388-394","url":null,"abstract":"The purpose of this paper is to introduce the concept of $lambda$-double almost statistical convergence of weight $g$, which emerges naturally from the concept of the double almost convergence and $lambda$-statistical convergence. Some interesting inclusion relations have been considered.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"45 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77367313","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
Classification of the extreme points of ${mathcal L}_s(^2l_{infty}^3)$ by computation 通过计算对${mathcal L}_s(^2l_{infty}^3)$极值点进行分类
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-11-12 DOI: 10.15330/cmp.14.2.371-387
Sung Guen Kim
{"title":"Classification of the extreme points of ${mathcal L}_s(^2l_{infty}^3)$ by computation","authors":"Sung Guen Kim","doi":"10.15330/cmp.14.2.371-387","DOIUrl":"https://doi.org/10.15330/cmp.14.2.371-387","url":null,"abstract":"Let $l_{infty}^3=mathbb{R}^3$ be endowed with the supremum norm. In [Comment. Math. 2017,  57 (1), 1-7], S.G. Kim classified the extreme points of the unit ball of ${mathcal L}_s(^2l_{infty}^3)$ only using Mathematica 8, where ${mathcal L}_s(^2l_{infty}^3)$ is the space of symmetric bilinear forms on $l_{infty}^3$. It seems to be interesting and meaningful to classify the extreme points of the unit ball of ${mathcal L}_s(^2l_{infty}^3)$ without using Mathematica 8. The aim of this paper is to make such classification by mathematical calculations.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"21 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85794070","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
Bernstein-Jackson-type inequalities with exact constants in Orlicz spaces Orlicz空间中具有精确常数的bernstein - jackson型不等式
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-09-04 DOI: 10.15330/cmp.14.2.364-370
M. Dmytryshyn, L. Dmytryshyn
{"title":"Bernstein-Jackson-type inequalities with exact constants in Orlicz spaces","authors":"M. Dmytryshyn, L. Dmytryshyn","doi":"10.15330/cmp.14.2.364-370","DOIUrl":"https://doi.org/10.15330/cmp.14.2.364-370","url":null,"abstract":"We establish the Bernstein and Jackson type inequalities with exact constants for estimations of best approximations by exponential type functions in Orlicz spaces $L_M(mathbb{R}^n)$. For this purpose, we use a special scale of approximation spaces $mathcal{B}_tau^s(M)$ that are interpolation spaces between the subspace $mathscr{E}_M$ of exponential type functions and the space $L_M(mathbb{R}^n)$. These approximation spaces are defined using a functional $Eleft(t,fright)$ that plays a similar role as the module of smoothness. The constants in obtained inequalities are expressed using a normalization factor $N_{vartheta,q}$ that is determined by the parameters $tau$ and $s$ of the approximation space $mathcal{B}_tau^s(M)$.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"26 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85501796","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
Some new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials 退化广义apostoll - bernoulli多项式、apostoll - euler多项式和apostoll - genocchi多项式的一些新类别
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-08-21 DOI: 10.15330/cmp.14.2.354-363
W. Ramírez, C. Cesarano
{"title":"Some new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials","authors":"W. Ramírez, C. Cesarano","doi":"10.15330/cmp.14.2.354-363","DOIUrl":"https://doi.org/10.15330/cmp.14.2.354-363","url":null,"abstract":"The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order $alpha$ and level $m$ in the variable $x$. Here the degenerate polynomials are a natural extension of the classic polynomials. In more detail, we derive their explicit expressions, recurrence relations and some identities involving those polynomials and numbers. Most of the results are proved by using generating function methods.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"20 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74422025","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: 4
On the semigroup $boldsymbol{B}_{omega}^{mathscr{F}_n}$, which is generated by the family $mathscr{F}_n$ of finite bounded intervals of $omega$ 关于半群$boldsymbol{B}_{omega}^{mathscr{F}_n}$，它是由$omega$的有限有界区间$mathscr{F}_n$族生成的
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-08-19 DOI: 10.15330/cmp.15.2.331-355
O. Gutik, O. Popadiuk
{"title":"On the semigroup $boldsymbol{B}_{omega}^{mathscr{F}_n}$, which is generated by the family $mathscr{F}_n$ of finite bounded intervals of $omega$","authors":"O. Gutik, O. Popadiuk","doi":"10.15330/cmp.15.2.331-355","DOIUrl":"https://doi.org/10.15330/cmp.15.2.331-355","url":null,"abstract":"We study the semigroup $boldsymbol{B}_{omega}^{mathscr{F}_n}$, which is introduced in the paper [Visnyk Lviv Univ. Ser. Mech.-Mat. 2020, 90, 5-19 (in Ukrainian)], in the case when the ${omega}$-closed family $mathscr{F}_n$ generated by the set ${0,1,ldots,n}$. We show that the Green relations $mathscr{D}$ and $mathscr{J}$ coincide in $boldsymbol{B}_{omega}^{mathscr{F}_n}$, the semigroup $boldsymbol{B}_{omega}^{mathscr{F}_n}$ is isomorphic to the semigroup $mathscr{I}_omega^{n+1}(overrightarrow{mathrm{conv}})$ of partial convex order isomorphisms of $(omega,leqslant)$ of the rank $leqslant n+1$, and $boldsymbol{B}_{omega}^{mathscr{F}_n}$ admits only Rees congruences. Also, we study shift-continuous topologies on the semigroup $boldsymbol{B}_{omega}^{mathscr{F}_n}$. In particular, we prove that for any shift-continuous $T_1$-topology $tau$ on the semigroup $boldsymbol{B}_{omega}^{mathscr{F}_n}$ every non-zero element of $boldsymbol{B}_{omega}^{mathscr{F}_n}$ is an isolated point of $(boldsymbol{B}_{omega}^{mathscr{F}_n},tau)$, $boldsymbol{B}_{omega}^{mathscr{F}_n}$ admits the unique compact shift-continuous $T_1$-topology, and every $omega_{mathfrak{d}}$-compact shift-continuous $T_1$-topology is compact. We describe the closure of the semigroup $boldsymbol{B}_{omega}^{mathscr{F}_n}$ in a Hausdorff semitopological semigroup and prove the criterium when a topological inverse semigroup $boldsymbol{B}_{omega}^{mathscr{F}_n}$ is $H$-closed in the class of Hausdorff topological semigroups.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"6 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88231837","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: 1
On the derivations of cyclic Leibniz algebras 关于循环莱布尼兹代数的导数
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-08-07 DOI: 10.15330/cmp.14.2.345-353
M. Semko, L. Skaskiv, O. A. Yarovaya
{"title":"On the derivations of cyclic Leibniz algebras","authors":"M. Semko, L. Skaskiv, O. A. Yarovaya","doi":"10.15330/cmp.14.2.345-353","DOIUrl":"https://doi.org/10.15330/cmp.14.2.345-353","url":null,"abstract":"Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,cin L$. A linear transformation $f$ of a Leibniz algebra $L$ is called a derivation of an algebra $L$, if $f([a,b])=[f(a),b]+[a,f(b)]$ for all elements $a,bin L$. It is well known that the set of all derivations $mathrm{Der}(L)$ of a Leibniz algebra $L$ is a subalgebra of the Lie algebra $mathrm{End}_{F}(L)$ of all linear transformations of an algebra $L$. The algebras of derivations of Leibniz algebras play an important role in the study of structure of Leibniz algebras. Their role is similar to that played by groups of automorphisms in the study of group structure. \u0000In this paper, a complete description of the algebra of derivations of nilpotent cyclic Leibniz algebra is obtained. In particular, it was proved that this algebra is metabelian and supersoluble Lie algebra, and its dimension is equal to the dimension of an algebra $L$.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"10 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88580242","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
Fuzzy fractional hybrid differential equations 模糊分数混合微分方程
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-08-06 DOI: 10.15330/cmp.14.2.332-344
A. Harir, S. Melliani, L. S. Chadli
{"title":"Fuzzy fractional hybrid differential equations","authors":"A. Harir, S. Melliani, L. S. Chadli","doi":"10.15330/cmp.14.2.332-344","DOIUrl":"https://doi.org/10.15330/cmp.14.2.332-344","url":null,"abstract":"This article is related to present and solve the theory of fractional hybrid differential equations with fuzzy initial values involving the fuzzy Riemann-Liouville fractional differential operators of order $0 < q < 1$. For the concerned presentation, we study the existence and uniqueness of a fuzzy solution are brought in detail basing on the concept of generalized division of fuzzy numbers. We have developed and investigated a fuzzy solution of a fuzzy fractional hybrid differential equation. At the end we have given an example is provided to illustrate the theory.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"56 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87759010","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
More on the extension of linear operators on Riesz spaces 更多关于Riesz空间上线性算子的扩展
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-07-27 DOI: 10.15330/cmp.14.2.327-331
O. Fotiy, A. Gumenchuk, M. M. Popov
{"title":"More on the extension of linear operators on Riesz spaces","authors":"O. Fotiy, A. Gumenchuk, M. M. Popov","doi":"10.15330/cmp.14.2.327-331","DOIUrl":"https://doi.org/10.15330/cmp.14.2.327-331","url":null,"abstract":"The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$. We prove that, if $E$ has the principal projection property and $F$ is Dedekind $sigma$-complete then for every $e in E^+$ every positive finitely additive $F$-valued measure defined on the Boolean algebra $mathfrak{F}_e$ of fragments of $e$ has a unique positive linear extension to the ideal $E_e$ of $E$ generated by $e$. If, moreover, the measure is $tau$-continuous then the linear extension is order continuous.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"115 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80626358","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
Application of the method of averaging to boundary value problems for differential equations with non-fixed moments of impulse 平均法在非固定脉冲矩微分方程边值问题中的应用
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-07-26 DOI: 10.15330/cmp.14.2.304-326
O. Stanzhytskyi, R. E. Uteshova, M. Mukash, V. Mogylova
{"title":"Application of the method of averaging to boundary value problems for differential equations with non-fixed moments of impulse","authors":"O. Stanzhytskyi, R. E. Uteshova, M. Mukash, V. Mogylova","doi":"10.15330/cmp.14.2.304-326","DOIUrl":"https://doi.org/10.15330/cmp.14.2.304-326","url":null,"abstract":"The method of averaging is applied to study the existence of solutions of boundary value problems for systems of differential equations with non-fixed moments of impulse action. It is shown that if an averaged boundary value problem has a solution, then the original problem is solvable as well. Here the averaged problem for the impulsive system is a simpler problem of ordinary differential equations.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"49 s172","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72386035","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
On generalized fractional integral operator involving Fox's $H$-function and its applications to unified subclass of prestarlike functions with negative coefficients 涉及Fox $H$-函数的广义分数阶积分算子及其在负系数似星前函数统一子类中的应用
IF 0.8
Carpathian Mathematical Publications Pub Date : 2022-06-30 DOI: 10.15330/cmp.14.1.289-298
D. Soybaş, S. Joshi, H. Pawar
{"title":"On generalized fractional integral operator involving Fox's $H$-function and its applications to unified subclass of prestarlike functions with negative coefficients","authors":"D. Soybaş, S. Joshi, H. Pawar","doi":"10.15330/cmp.14.1.289-298","DOIUrl":"https://doi.org/10.15330/cmp.14.1.289-298","url":null,"abstract":"The aim of present paper is to find out different interesting properties and characterization of unified class $P_{gamma}(A, B, alpha,sigma)$ of prestarlike functions with negative coefficients in the unit disc $U$. Furthermore, distortion theorems involving a generalized fractional integral operator involving well-known Fox's $H$-function for functions in this class are proved.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"150 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77394696","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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