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Turkish Journal of Mathematics最新文献

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Fibonomial matrix and its domain in the spaces $ell_p$ and $ell_{infty}$ 空间$ell_p$和中的fionomial矩阵及其定义域 $ell_{infty}$
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3472
MUHAMMET CİHAT DAĞLI, TAJA YAYING
{"title":"Fibonomial matrix and its domain in the spaces $ell_p$ and $ell_{infty}$","authors":"MUHAMMET CİHAT DAĞLI, TAJA YAYING","doi":"10.55730/1300-0098.3472","DOIUrl":"https://doi.org/10.55730/1300-0098.3472","url":null,"abstract":": In this paper, we introduce the fibonomial sequence spaces b r,s,Fp and b r,s,F ∞ , and show that these are BK-spaces. Also, we prove that these new spaces are linearly isomorphic to ℓ p and ℓ ∞ . Moreover, we determine the α -, β -, γ -duals for these new spaces and characterize some matrix classes. The final section is devoted to the investigation of some geometric properties of the newly defined space b r,s,Fp .","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 22","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292619","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
Inequalities involving general fractional integrals of p-convex functions 涉及p-凸函数一般分数积分的不等式
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3479
İLKNUR YEŞİLCE IŞIK, GÜLTEKİN TINAZTEPE, SERAP KEMALİ, GABİL ADİLOV
{"title":"Inequalities involving general fractional integrals of p-convex functions","authors":"İLKNUR YEŞİLCE IŞIK, GÜLTEKİN TINAZTEPE, SERAP KEMALİ, GABİL ADİLOV","doi":"10.55730/1300-0098.3479","DOIUrl":"https://doi.org/10.55730/1300-0098.3479","url":null,"abstract":": The Hermite-Hadamard type inequalities involving fractional integral operations for p-convex functions with respect to another function are studied. Then, the inequalities via Riemann-Liouville and Hadamard fractional integrals are presented specially. Using the obtained results, some inequality relations among special functions including beta and incomplete beta functions, gamma and incomplete gamma functions, and hypergeometric functions are presented","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 23","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292618","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
Multiplication of closed balls in $mathbb{C}^n$ $mathbb{C}^n$中封闭球的乘法
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3471
PATRÍCIA DAMAS BEITES, ALEJANDRO PIÑERA NICOLÁS, JOSÉ DA SILVA LOURENÇO VITÓRIA
{"title":"Multiplication of closed balls in $mathbb{C}^n$","authors":"PATRÍCIA DAMAS BEITES, ALEJANDRO PIÑERA NICOLÁS, JOSÉ DA SILVA LOURENÇO VITÓRIA","doi":"10.55730/1300-0098.3471","DOIUrl":"https://doi.org/10.55730/1300-0098.3471","url":null,"abstract":"Motivated by circular complex interval arithmetic, some operations on closed balls in $mathbb{C}^n$ are considered. Essentially, the properties of possible multiplications for closed balls in $mathbb{C}^n$, related either to the Hadamard product of vectors or to the $2$-fold vector cross product when $n in {3, 7}$, are studied. In addition, certain equations involving the defined multiplications are solved.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 18","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292623","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
A new approaching method for linear neutral delay differential equations by using Clique polynomials 用团多项式逼近线性中立型时滞微分方程的新方法
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3483
ŞUAYİP YÜZBAŞI, MEHMET EMİN TAMAR
{"title":"A new approaching method for linear neutral delay differential equations by using Clique polynomials","authors":"ŞUAYİP YÜZBAŞI, MEHMET EMİN TAMAR","doi":"10.55730/1300-0098.3483","DOIUrl":"https://doi.org/10.55730/1300-0098.3483","url":null,"abstract":": This article presents an efficient method for obtaining approximations for the solutions of linear neutral delay differential equations. This numerical matrix method, based on collocation points, begins by approximating y ′ ( u ) using a truncated series expansion of Clique polynomials. This method is constructed using some basic matrix relations, integral operations, and collocation points. Through this method, the neutral delay problem is transformed into a system of linear algebraic equations. The solution of this algebraic system determines the coefficients of the approximate solution obtained by this method. The efficiency, accuracy, and error analysis of this method are demonstrated by applying it to several numerical problems. All calculations in this method have been performed using the computer program MATLAB R2021a.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 16","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292625","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
Interpolation polynomials associated to linear recurrences 与线性递归相关的插值多项式
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3473
MUHAMMAD SYIFA'UL MUFID, LASZLO SZALAY
{"title":"Interpolation polynomials associated to linear recurrences","authors":"MUHAMMAD SYIFA'UL MUFID, LASZLO SZALAY","doi":"10.55730/1300-0098.3473","DOIUrl":"https://doi.org/10.55730/1300-0098.3473","url":null,"abstract":": Assume that ( G n ) n ∈ Z is an arbitrary real linear recurrence of order k . In this paper, we examine the classical question of polynomial interpolation, where the basic points are given by ( t, G t ) ( n 0 ≤ t ≤ n 1 ). The main result is an explicit formula depends on the explicit formula of G n and on the finite difference sequence of a specific sequence. It makes it possible to study the interpolation polynomials essentially by the zeros of the characteristic polynomial of ( G n ) . During the investigations, we developed certain formulae related to the finite differences","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 29","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292747","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
Involutive automorphisms and derivations of the quaternions 四元数的对合自同构和推导
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3474
EYÜP KIZIL, ADRIANO DA SILVA, OKAN DUMAN
{"title":"Involutive automorphisms and derivations of the quaternions","authors":"EYÜP KIZIL, ADRIANO DA SILVA, OKAN DUMAN","doi":"10.55730/1300-0098.3474","DOIUrl":"https://doi.org/10.55730/1300-0098.3474","url":null,"abstract":": Let Q = ( a,b R ) denote the quaternion algebra over the reals which is by the Frobenius Theorem either split or the division algebra H of Hamilton’s quaternions. We have presented explicitly in [4] the matrix of a typical derivation of Q . Given a derivation d ∈ Der ( H ) , we show that the matrix D ∈ M 3 ( R ) that represents d on the linear subspace H 0 ≃ R 3 of pure quaternions provides a pair of idempotent matrices AdjD and − D 2 that correspond bijectively to the involutary matrix Σ of a quaternion involution σ and present several equations involving these matrices. In particular, we deal with commuting derivations of H and introduce some results to guarantee commutativity. We also mention briefly eigenspace decomposition of a derivation.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 26","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292750","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
Best proximity for proximal operators on $b$-metric spaces $b$-metric空间上最接近算子的最佳接近性
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3469
ARIANA PITEA, MONICA STANCIU
{"title":"Best proximity for proximal operators on $b$-metric spaces","authors":"ARIANA PITEA, MONICA STANCIU","doi":"10.55730/1300-0098.3469","DOIUrl":"https://doi.org/10.55730/1300-0098.3469","url":null,"abstract":"","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 16","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292670","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
Generalized Pell graphs 广义佩尔图
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3475
VESNA IRSİC, SANDI KLAVZAR, ELİF TAN
{"title":"Generalized Pell graphs","authors":"VESNA IRSİC, SANDI KLAVZAR, ELİF TAN","doi":"10.55730/1300-0098.3475","DOIUrl":"https://doi.org/10.55730/1300-0098.3475","url":null,"abstract":"In this paper, generalized Pell graphs $Pi _{n,k}$, $kge 2$, are introduced. The special case of $k=2$ are the Pell graphs $Pi _{n}$ defined earlier by Munarini. Several metric, enumerative, and structural properties of these graphs are established. The generating function of the number of edges of $Pi _{n,k}$ and the generating function of its cube polynomial are determined. The center of $Pi _{n,k}$ is explicitly described; if $k$ is even, then it induces the Fibonacci cube $Gamma_{n}$. It is also shown that $Pi _{n,k}$ is a median graph, and that $Pi _{n,k}$ embeds into a Fibonacci cube.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 30","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292746","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
Some congruences with $q-$binomial sums $q-$二项式和的若干同余
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3478
NEŞE ÖMÜR, ZEHRA BETÜL GÜR, SİBEL KOPARAL, LAİD ELKHIRI
{"title":"Some congruences with $q-$binomial sums","authors":"NEŞE ÖMÜR, ZEHRA BETÜL GÜR, SİBEL KOPARAL, LAİD ELKHIRI","doi":"10.55730/1300-0098.3478","DOIUrl":"https://doi.org/10.55730/1300-0098.3478","url":null,"abstract":"","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 20","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292621","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
Invariant subspaces of operators via Berezin symbols and Duhamel product 基于Berezin符号和Duhamel积的算子的不变子空间
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-11-09 DOI: 10.55730/1300-0098.3485
MÜBARİZ T. GARAYEV
{"title":"Invariant subspaces of operators via Berezin symbols and Duhamel product","authors":"MÜBARİZ T. GARAYEV","doi":"10.55730/1300-0098.3485","DOIUrl":"https://doi.org/10.55730/1300-0098.3485","url":null,"abstract":": The Berezin symbol ˜ A of an operator A on the reproducing kernel Hilbert space H (Ω) over some set Ω with the reproducing kernel k λ is defined by","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" 17","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292624","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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