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4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces 四维Euler-Totient矩阵算子与某些二重序列空间
Mathematical Sciences and Applications E-Notes Pub Date : 2020-07-12 DOI: 10.36753/mathenot.733364
Sezer Erdem, Serkan Demiriz
{"title":"4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces","authors":"Sezer Erdem, Serkan Demiriz","doi":"10.36753/mathenot.733364","DOIUrl":"https://doi.org/10.36753/mathenot.733364","url":null,"abstract":"Our main purpose in this study is to investigate the matrix domains of the 4-dimensional Euler-totient matrix operator on the classical double sequence spaces M u , C p , C bp and C r . Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces. Also, the α − , β ( ϑ ) − and γ − duals of these spaces are determined and finally, some matrix classes are characterized.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1962 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129665059","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: 3
On the Pasting Lemma on a Fuzzy Soft Topological Space with Mixed Structure 混合结构模糊软拓扑空间上的粘贴引理
Mathematical Sciences and Applications E-Notes Pub Date : 2020-06-22 DOI: 10.36753/mathenot.647458
N. Taş
{"title":"On the Pasting Lemma on a Fuzzy Soft Topological Space with Mixed Structure","authors":"N. Taş","doi":"10.36753/mathenot.647458","DOIUrl":"https://doi.org/10.36753/mathenot.647458","url":null,"abstract":"In this paper, we define the notion of a (υ1, υ2)-generalized closed fuzzy soft set (shorlty, a (υ1, υ2)-g-closed fuzzy soft set) on a fuzzy soft topological space. Using this notion, we investigate some properties of a (υ1, υ2)-g-closed fuzzy soft set and prove a new version of the “Pasting Lemma” with a mixed structure.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116307252","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: 3
On Minimal Generating Sets of Certain Subsemigroups of Isometries 一类等距子半群的极小生成集
Mathematical Sciences and Applications E-Notes Pub Date : 2020-06-22 DOI: 10.36753/mathenot.723297
L. Bugay, Melek Yağcı
{"title":"On Minimal Generating Sets of Certain Subsemigroups of Isometries","authors":"L. Bugay, Melek Yağcı","doi":"10.36753/mathenot.723297","DOIUrl":"https://doi.org/10.36753/mathenot.723297","url":null,"abstract":"Let $DP_{n}$ and $ODP_{n}$ be the semigroups of all isometries and of all order-preserving isometries on $X_{n}$, respectively. In this paper we investigate the structure of minimal generating sets of the subsemigroup $DP_{n,r}$= {α ∈ DPn : |im (α)| ≤ r} (similarly of the subsemigroup $ODP_{n,r}$ = {α ∈ ODPn : |im (α)| ≤ r}) for 2 ≤ r ≤ n − 1.  .","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124237906","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
Annihilator of generalized derivations with power values in rings and Algebras 环和代数中幂值广义导数的湮灭子
Mathematical Sciences and Applications E-Notes Pub Date : 2020-05-23 DOI: 10.36753/mathenot.631172
Hamidur Rahaman
{"title":"Annihilator of generalized derivations with power values in rings and Algebras","authors":"Hamidur Rahaman","doi":"10.36753/mathenot.631172","DOIUrl":"https://doi.org/10.36753/mathenot.631172","url":null,"abstract":"Let F , G be two generalized derivations of prime ring R with characteristic different from 2 with associated derivations D 1 and D 2 respectively. We use the symbols C = Z ( U ) and U to denote the the extended centroid of R and Utumi ring of quotient of R respectively. Let 0 (cid:54) = a ∈ R and F and G satisfy a { ( F ( xy ) + G ( yx )) m − [ x, y ] n } = 0 for all x, y ∈ J , a nonzero ideal, where m and n are natural numbers. Then either R is commutative or there exists c , b ∈ U such that F ( x ) = cx and G ( x ) = bx for all x ∈ R","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125935697","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 binomial sums and alternating binomial sums of generelized Fibonacci numbers with falling factorials 降阶乘的广义斐波那契数的二项式和与交替二项式和
Mathematical Sciences and Applications E-Notes Pub Date : 2020-05-05 DOI: 10.36753/mathenot.708004
S. Koparal, N. Ömür
{"title":"On binomial sums and alternating binomial sums of generelized Fibonacci numbers with falling factorials","authors":"S. Koparal, N. Ömür","doi":"10.36753/mathenot.708004","DOIUrl":"https://doi.org/10.36753/mathenot.708004","url":null,"abstract":"In this paper, we consider and obtain binomial sums and alternating binomial sums including falling factorial of the summation indice. For example, For integers n and m such that 0 ≤ m < n , n (cid:88) and for positive odd integer m,","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116611822","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 identities for Fibonacci and Lucas octonions 斐波那契和卢卡斯八元的更多恒等式
Mathematical Sciences and Applications E-Notes Pub Date : 2020-05-01 DOI: 10.36753/mathenot.591307
N. Irmak, Abdullah Açikel
{"title":"More identities for Fibonacci and Lucas octonions","authors":"N. Irmak, Abdullah Açikel","doi":"10.36753/mathenot.591307","DOIUrl":"https://doi.org/10.36753/mathenot.591307","url":null,"abstract":"In this paper, we give a new approach to obtain identities for Fibonacci and Lucas octonions.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"2015 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121526850","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 Properties Of Generalized Frank Matrices 广义Frank矩阵的一些性质
Mathematical Sciences and Applications E-Notes Pub Date : 2020-05-01 DOI: 10.36753/mathenot.672621
Efruz Özlem Mersin, M. Bahşı, A. D. Maden
{"title":"Some Properties Of Generalized Frank Matrices","authors":"Efruz Özlem Mersin, M. Bahşı, A. D. Maden","doi":"10.36753/mathenot.672621","DOIUrl":"https://doi.org/10.36753/mathenot.672621","url":null,"abstract":"In this paper, we first introduce a new generalization of Frank matrix. Then, we examine its algebraic structure, determinant, inverse, LU decomposition and characteristic polynomial.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114542815","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
Harmonic k-uniformly convex, k-starlike mappings and Pascal distribution series 调和k-一致凸，k-星形映射和Pascal分布级数
Mathematical Sciences and Applications E-Notes Pub Date : 2020-04-10 DOI: 10.36753/mathenot.683486
E. Yaşar
{"title":"Harmonic k-uniformly convex, k-starlike mappings and Pascal distribution series","authors":"E. Yaşar","doi":"10.36753/mathenot.683486","DOIUrl":"https://doi.org/10.36753/mathenot.683486","url":null,"abstract":"In this paper, connections between various subclasses of harmonic univalent functions by using a convolution operator involving the Pascal distribution series are investigated. Furthermore, an example is provided, illustrating graphically with the help of Maple, to illuminate the convolution operator.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126076953","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: 3
A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles 用三角形划分的Steinhaus问题研究相似性
Mathematical Sciences and Applications E-Notes Pub Date : 2020-03-20 DOI: 10.36753/mathenot.615168
Oğuzhan Demirel, Leyla Aslan, Damla Topal
{"title":"A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles","authors":"Oğuzhan Demirel, Leyla Aslan, Damla Topal","doi":"10.36753/mathenot.615168","DOIUrl":"https://doi.org/10.36753/mathenot.615168","url":null,"abstract":"H. Steinhaus [1] has asked whether inside each acute triangle there is a point from which perpendiculars to the sides divide the triangle into three parts of equal areas. In this paper we present a new characteristic of similarities by use of the Steinhaus’ Problem on partition of a triangle.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"175 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132494637","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
Siacci's Theorem for Frenet Curves in Minkowski 3-Space Minkowski三维空间中Frenet曲线的Siacci定理
Mathematical Sciences and Applications E-Notes Pub Date : 2020-03-20 DOI: 10.36753/mathenot.693053
Kahraman Esen Özen
{"title":"Siacci's Theorem for Frenet Curves in Minkowski 3-Space","authors":"Kahraman Esen Özen","doi":"10.36753/mathenot.693053","DOIUrl":"https://doi.org/10.36753/mathenot.693053","url":null,"abstract":"For motion of a material point along a space curve, due to Siacci [1], a resolution of the acceleration vector is well known. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane to the curve. In this paper, we have studied the Siacci’s theorem for non-relativistic particles moving along the Frenet curves at very low speeds relative to the speed of light in Minkowski 3-space. Moreover, an illustrative example is given to show how the aforesaid theorem works. This theorem is a new contribution to the field and it may be useful for some specific applications in mathematical and computational physics.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129824691","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
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