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On The Difference Sequence Space $l_p(hat{T}^q)$ 差分序列空间$l_p(hat{T}^q)$
Mathematical Sciences and Applications E-Notes Pub Date : 2019-10-15 DOI: 10.36753/MATHENOT.597703
M. İlkhan, P. Alp
{"title":"On The Difference Sequence Space $l_p(hat{T}^q)$","authors":"M. İlkhan, P. Alp","doi":"10.36753/MATHENOT.597703","DOIUrl":"https://doi.org/10.36753/MATHENOT.597703","url":null,"abstract":"In this study, we introduce a new matrix $hat{T}^q=(hat{t}^q_{nk})$ by [ hat{t}^q_{nk}=left { begin{array} [c]{ccl}% frac{q_n}{Q_n} t_n & , & k=n frac{q_k}{Q_n}t_k-frac{q_{k+1}}{Q_n} frac{1}{t_{k+1}} & , & k n . end{array} right. ] where $t_k>0$ for all $ninmathbb{N}$ and $(t_n)in cbackslash c_0$ . By using the matrix $hat{T}^q$ , we introduce the sequence space $ell_p(hat{T}^q)$ for $1leq pleqinfty$ . In addition, we give some theorems on inclusion relations associated with $ell_p(hat{T}^q)$ and find the $alpha$ -, $beta$ -, $gamma$ - duals of this space. Lastly, we analyze the necessary and sufficient conditions for an infinite matrix to be in the classes $(ell_p(hat{T}^q),lambda)$ or $(lambda,ell_p(hat{T}^q))$ , where $lambdain{ell_1,c_0,c,ell_infty}$ .","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133681050","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: 5
$H_{B}^{tau _{1},tau _{2},tau _{3}}$ Srivastava Hypergeometric Function $H_{B}^{tau _{1}，tau _{2}，tau _{3}}$ Srivastava超几何函数
Mathematical Sciences and Applications E-Notes Pub Date : 2019-10-15 DOI: 10.36753/MATHENOT.634502
Oguz Yagci
{"title":"$H_{B}^{tau _{1},tau _{2},tau _{3}}$ Srivastava Hypergeometric Function","authors":"Oguz Yagci","doi":"10.36753/MATHENOT.634502","DOIUrl":"https://doi.org/10.36753/MATHENOT.634502","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131687317","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
Ergodic Theorem in Grand Variable Exponent Lebesgue Spaces 大变指数Lebesgue空间中的遍历定理
Mathematical Sciences and Applications E-Notes Pub Date : 2019-09-10 DOI: 10.36753/mathenot.683046
C. Unal
{"title":"Ergodic Theorem in Grand Variable Exponent Lebesgue Spaces","authors":"C. Unal","doi":"10.36753/mathenot.683046","DOIUrl":"https://doi.org/10.36753/mathenot.683046","url":null,"abstract":"We consider several fundamental properties of grand variable exponent Lebesgue spaces. Moreover, we discuss Ergodic theorems in these spaces whenever the exponent is invariant under the transformation.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":" 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132012208","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 Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations Hadamard-Volterra积分方程解的存在性及渐近性
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/mathenot.559244
Said Baghdad, M. Benchohra
{"title":"On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations","authors":"Said Baghdad, M. Benchohra","doi":"10.36753/mathenot.559244","DOIUrl":"https://doi.org/10.36753/mathenot.559244","url":null,"abstract":"In this paper we provide sufficient condition guaranteeing existence and the asymptotic behavior of solutions of a class of Hadamard–Volterra integral equations in the Banach space of continuous and bounded functions on unbounded interval. The main tools used in our considerations are the concept of measure of noncompactness in conjunction with the Darbo and Monch fixed point theorems.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128945428","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
The Jensen-Mercer Inequality with Infinite Convex Combinations 具有无穷凸组合的Jensen-Mercer不等式
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/MATHENOT.559241
Zlatko Pavić
{"title":"The Jensen-Mercer Inequality with Infinite Convex Combinations","authors":"Zlatko Pavić","doi":"10.36753/MATHENOT.559241","DOIUrl":"https://doi.org/10.36753/MATHENOT.559241","url":null,"abstract":"The paper deals with discrete forms of double inequalities related to convex functions of one variable. Infinite convex combinations and sequences of convex combinations are included. The double inequality form of the Jensen-Mercer inequality and its variants are especially studied.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115285961","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: 6
Orthogonal Reverse Derivations on semiprime Γ-semirings 半素数上的正交逆导数Γ-semirings
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/MATHENOT.559255
B. Venkateswarlu, M. Rao, Y. A. Narayana
{"title":"Orthogonal Reverse Derivations on semiprime Γ-semirings","authors":"B. Venkateswarlu, M. Rao, Y. A. Narayana","doi":"10.36753/MATHENOT.559255","DOIUrl":"https://doi.org/10.36753/MATHENOT.559255","url":null,"abstract":"In this paper, we introduce the notion of reverse derivation and orthogonal reverse derivations on Γ-semirings. Some characterizations of semi prime Γ-semirings are obtained by means of orthogonal reverse derivations. And also obtained necessary and sufficient conditions for two reverse derivations to be orthogonal.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122708828","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
A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets 一种新的连续寿命分布及其在补偿和飞机风力屏蔽数据集上的应用
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/mathenot.559265
O. Kharazmi, Ali Saadatinik, M. Tamandi
{"title":"A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets","authors":"O. Kharazmi, Ali Saadatinik, M. Tamandi","doi":"10.36753/mathenot.559265","DOIUrl":"https://doi.org/10.36753/mathenot.559265","url":null,"abstract":"Kharazmi and Saadatinik [21] introduced a new family of distribution called hyperbolic cosine – F (HCF) distributions. They studied some properties of this model and obtained the estimates of its parameters by different methods. In this paper, it is focused on a special case of HCF family withWeibull distribution as a baseline model. Various properties of the proposed distribution including explicit expressions for the moments, quantiles, moment generating function, failure rate function, mean residual lifetime, order statistics and expression of the entropies are derived. Superiority of this model is proved in some simulations and applications.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"217 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132979711","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 Classifications of Normal and Osculating Curves in 3-dimensional Sasakian Space 三维sasaki空间中正态曲线和密切曲线的分类
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/MATHENOT.521075
M. Kulahci, M. Bektaş, A. Bilici
{"title":"On Classifications of Normal and Osculating Curves in 3-dimensional Sasakian Space","authors":"M. Kulahci, M. Bektaş, A. Bilici","doi":"10.36753/MATHENOT.521075","DOIUrl":"https://doi.org/10.36753/MATHENOT.521075","url":null,"abstract":"This study provides the de…nition of rectifying, normal and osculating curves in 3-dimensional Sasakian space with their characterizations. Furthermore, the di¤erential equations obtained from these characterizations are solved and their figures are presented in the text.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122393371","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
The Quantum Codes over F_q and Quantum Quasi-cyclic Codes over F_p F_q上的量子码和F_p上的量子拟循环码
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/MATHENOT.559260
Y. Cengellenmis, A. Dertli
{"title":"The Quantum Codes over F_q and Quantum Quasi-cyclic Codes over F_p","authors":"Y. Cengellenmis, A. Dertli","doi":"10.36753/MATHENOT.559260","DOIUrl":"https://doi.org/10.36753/MATHENOT.559260","url":null,"abstract":"In this paper, the quantum codes over F q are constructed by using the cyclic codes over the finite ring R = F q + vF q + ... + v m − 1 F q , where p is prime, q = p s , m − 1 | p − 1 and v m = v . The parameters of quantum error correcting codes over F q are obtained. Some examples are given. Morever, the quantum quasi-cyclic codes over F p are obtained, by using the self dual basis for F p s over F p .","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"351 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115973152","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
New Inequalities for Preinvex Functions 前逆函数的新不等式
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/mathenot.559247
H. Kadakal, I. Işcan
{"title":"New Inequalities for Preinvex Functions","authors":"H. Kadakal, I. Işcan","doi":"10.36753/mathenot.559247","DOIUrl":"https://doi.org/10.36753/mathenot.559247","url":null,"abstract":"In this study, a new identity for functions defined on an open invex subset of set of real numbers is formed. After that we established Hermite-Hadamard-like inequalities for this type of functions. Then, by using the this identity and the Holder and Power mean integral inequalities we present new type integral inequalities for functions whose powers of fourth derivatives in absolute value are preinvex functions.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123948090","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
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