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Hacettepe Journal of Mathematics and Statistics最新文献

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New aspects of weaving K-frames: the excess and duality 编织k型框架的新方面:过剩和二元性
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-07-06 DOI: 10.15672/hujms.1008448
Elahe AGHESHTEH MOGHADDAM, A. Arefijamaal
{"title":"New aspects of weaving K-frames: the excess and duality","authors":"Elahe AGHESHTEH MOGHADDAM, A. Arefijamaal","doi":"10.15672/hujms.1008448","DOIUrl":"https://doi.org/10.15672/hujms.1008448","url":null,"abstract":"Weaving frames in separable Hilbert spaces have been recently introduced by Bemrose et al. to deal with some problems in distributed signal processing and wireless sensor networks. Likewise weaving K-frames have been proved to be useful during signal reconstructions from the range of a bounded linear operator K.\u0000In this paper, we study the notion of weaving and its connection to the duality of K-frames and construct several pairs of woven K-frames.\u0000Also, we find a unique biorthogonal sequence for every K-Riesz basis and obtain a $K^*$-frame which is woven by its canonical dual. Moreover, we describe the excess for K-frames and prove that any two woven K-frames in a separable Hilbert space have the same excess. Finally, we introduce the necessary and sufficient condition under which a K-frame and its image under an invertible operator have the same excess.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"9 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82431208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Statistically order compact operators on Riesz spaces Riesz空间上的统计序紧算子
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-06-24 DOI: 10.15672/hujms.1223922
Abdullah Aydin
{"title":"Statistically order compact operators on Riesz spaces","authors":"Abdullah Aydin","doi":"10.15672/hujms.1223922","DOIUrl":"https://doi.org/10.15672/hujms.1223922","url":null,"abstract":"In this paper, we state and establish the concept of compact operators defined between Riesz spaces with respect to statistical order convergence. An operator mapping any statistical order bounded sequence to a sequence with a statistical order convergent subsequence between Riesz spaces is called statistical order compact. Moreover, we also define the notion of statistical M-weakly compact operators. By applying these nontopological concepts, we obtain some new results about these operators.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"13 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87243840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension 计算任意维三角曲线的仿射等价和对称性
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-06-24 DOI: 10.15672/hujms.1277665
Uğur Gözütok
{"title":"Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension","authors":"Uğur Gözütok","doi":"10.15672/hujms.1277665","DOIUrl":"https://doi.org/10.15672/hujms.1277665","url":null,"abstract":"We present a new and efficient algorithm to compute affine equivalences and symmetries between two trigonometric curves in an arbitrary dimension. The algorithm benefits from the power of invariance and polynomial gcd and factoring without solving any system of equations. The algorithm is implemented in MAPLE, and extensive experimentations demonstrating the efficiency of the method are given.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"11 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80854803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hom-Gel'fand-Dorfman conformal superbialgebras homo - gel 'fand-Dorfman共形超双代数
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-06-13 DOI: 10.15672/hujms.1196147
Taoufik Chti̇oui̇
{"title":"Hom-Gel'fand-Dorfman conformal superbialgebras","authors":"Taoufik Chti̇oui̇","doi":"10.15672/hujms.1196147","DOIUrl":"https://doi.org/10.15672/hujms.1196147","url":null,"abstract":"Gel'fand Dorfman superbialgebra, which is both a Lie superalgebra and a\u0000(left) Novikov superalgebra with some compatibility condition, appears in the study of\u0000Hamiltonian pairs in completely integrable systems and a class of special Lie\u0000conformal superalgebras called quadratic Lie conformal superalgebras. In the present paper, we generalize this algebraic structure to the Hom-conformal case . We introduce first, Hom-Novikov conformal superalgebras and exihibit several properties. Then we introduce Hom-Gel'fand Dorfman superbialgebra and provide some construction results.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"9 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77635165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Composition-differentiation operators acting on certain Hilbert spaces of analytic functions 作用于解析函数的某些希尔伯特空间的复合微分算子
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-06-13 DOI: 10.15672/hujms.1241783
Yazdan Bayat, A. Abkar
{"title":"Composition-differentiation operators acting on certain Hilbert spaces of analytic functions","authors":"Yazdan Bayat, A. Abkar","doi":"10.15672/hujms.1241783","DOIUrl":"https://doi.org/10.15672/hujms.1241783","url":null,"abstract":"We study composition-differentiation operators acting on the Bergman and Dirichlet space of the unit disk. We first characterize the compactness of this operator on weighted Bergman spaces. We shall then prove that for an analytic self-map $varphi$ on the unit disk $disk$, the induced composition-differentiation operator is bounded with dense range if and only if $varphi$ is univalent and the polynomials are dense in the Bergman space on $varphi(disk)$.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"48 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75319294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Suzuki type $mathcal{Z}_{c}$-contraction mappings and the fixed-figure problem Suzuki类型$mathcal{Z}_{c}$-收缩映射和固定数字问题
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-06-04 DOI: 10.15672/hujms.1287530
D. Gopal, N. Özgür, Jayesh Savali̇ya, S. K. Srivastava
{"title":"Suzuki type $mathcal{Z}_{c}$-contraction mappings and the fixed-figure problem","authors":"D. Gopal, N. Özgür, Jayesh Savali̇ya, S. K. Srivastava","doi":"10.15672/hujms.1287530","DOIUrl":"https://doi.org/10.15672/hujms.1287530","url":null,"abstract":"Geometric approaches are important for the study of some real-life problems. In metric fixed point theory, a recent problem called textquotedblleft textit{fixed-figure problem}textquotedblright is the investigation of the existence of self-mapping which remain invariant at each points of a certain geometric figure (e.g. a circle, an ellipse and a Cassini curve) in the space. This problem is well studied in the domain of the extension of this line of research in the context of fixed circle, fixed disc, fixed ellipse, fixed Cassini curve and so on. In this paper, we introduce the concept of a Suzuki type $mathcal{Z}_c$-contraction. We deal with the fixed-figure problem by means of the notions of a $mathcal{Z}_c$-contraction and a Suzuki type $mathcal{Z}_c$-contraction. We derive new fixed-figure results for the fixed ellipse and fixed Cassini curve cases by means of these notions. Also fixed disc and fixed circle results given for Suzuki type $mathcal{Z}_c$-contraction. There are couple of illustration related to the obtained theoretical results.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"47 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81603130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fuzzifying pseudo-metric topologies on the fuzzy real line 模糊实线上伪度量拓扑的模糊化
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-06-04 DOI: 10.15672/hujms.1209995
F. Shi̇
{"title":"Fuzzifying pseudo-metric topologies on the fuzzy real line","authors":"F. Shi̇","doi":"10.15672/hujms.1209995","DOIUrl":"https://doi.org/10.15672/hujms.1209995","url":null,"abstract":"In this paper, three natural fuzzifying topologies are presented on the fuzzy real line. Then the notion of fuzzifying pseudo-quasi-metrics is introduced. It is proved that the three fuzzifying topologies can be induced respectively by three fuzzifying pseudo-quasi-metrics. Our definition of fuzzifying pseudo-metric is slightly different from that of KM-fuzzy metric. A fuzzifying pseudo-metrics can be regarded as a weak form of a KM fuzzy metric.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"11 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85906377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimate for bilinear Calder'{o}n-Zygmund operator and its commutator on homogeneous variable exponent spaces 齐次变指数空间上双线性Calder {o}n-Zygmund算子及其对易子的估计
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-06-01 DOI: 10.15672/hujms.1195476
G. Lu
{"title":"Estimate for bilinear Calder'{o}n-Zygmund operator and its commutator on homogeneous variable exponent spaces","authors":"G. Lu","doi":"10.15672/hujms.1195476","DOIUrl":"https://doi.org/10.15672/hujms.1195476","url":null,"abstract":"Let $(X,d,mu)$ be a space of homogeneous type in the sense of Coifman and and Weiss. In this setting, the author proves that bilinear Calder'{o}n-Zygmund operators are bounded from the product of variable exponent Lebesgue spaces $L^{p_{1}(cdot)}(X)times L^{p_{2}(cdot)}(X)$ into spaces $L^{p(cdot)}(X)$, and bounded from product of variable exponent generalized Morrey spaces $mathcal{L}^{p_{1}(cdot),varphi_{1}}(X)times mathcal{L}^{p_{2}(cdot),varphi_{2}}(X)$ into spaces $mathcal{L}^{p(cdot),varphi}(X)$, where the Lebesgue measure functions $varphi(cdot,cdot), varphi_{1}(cdot,cdot)$ and $varphi_{2}(cdot,cdot)$ satisfy $varphi_{1}timesvarphi_{2}=varphi$, and $frac{1}{p(cdot)}=frac{1}{p_{1}(cdot)}+frac{1}{p_{2}(cdot)}$. Furthermore, by establishing sharp maximal estimate for the commutator $[b_{1},b_{2},BT]$ generated by $b_{1}, b_{2}inmathrm{BMO}(X)$ and the $BT$, the author shows that the $[b_{1},b_{2},BT]$ is bounded from product of spaces $L^{p_{1}(cdot)}(X)times L^{p_{2}(cdot)}(X)$ into spaces $L^{p(cdot)}(X)$, and also bounded from product of spaces $mathcal{L}^{p_{1}(cdot),varphi_{1}}(X)times mathcal{L}^{p_{2}(cdot),varphi_{2}}(X)$ into spaces $L^{p(cdot),varphi}(X)$.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"129 3 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79601926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hermite-Hadamard type inequalities for $(p,h)$-convex functions on $mathbb{R}^n$ $mathbb{R}^n$上$(p,h)$-凸函数的Hermite-Hadamard型不等式
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-05-31 DOI: 10.15672/hujms.1283922
Jianmiao Ruan
{"title":"Hermite-Hadamard type inequalities for $(p,h)$-convex functions on $mathbb{R}^n$","authors":"Jianmiao Ruan","doi":"10.15672/hujms.1283922","DOIUrl":"https://doi.org/10.15672/hujms.1283922","url":null,"abstract":"In this paper, the concept of the $(p,h)$-convex function is introduced, which generalizes the $p$-convex function and the $h$-convex function, and Hermite-Hadamard type inequalities for $(p,h)$-convex functions on $mathbb{R}^n$ are established. Furthermore, some mappings related to the above inequalities are studied and some known results are generalized.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"98 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82341156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the nth-order subfractional Brownian motion 关于n阶次布朗运动
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-05-30 DOI: 10.15672/hujms.1180888
E. Mohamed, Mabdaoui Mohamed
{"title":"On the nth-order subfractional Brownian motion","authors":"E. Mohamed, Mabdaoui Mohamed","doi":"10.15672/hujms.1180888","DOIUrl":"https://doi.org/10.15672/hujms.1180888","url":null,"abstract":"In the present work, we introduce the nth-Order subfractional Brownian motion (S_H^n (t), t ≥ 0) with Hurst index H ∈ (n − 1,n) and order n ≥ 1; then we examine some\u0000of its basic properties: self-similarity, long-range dependence, non Markovian nature and semimartingale property. A local law of iterated logarithm for S_H^n (t) is also established.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"186 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83450026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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