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Publications De L'institut Mathematique最新文献

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Explicit and asymptotic formulae for Vasyunin-cotangent sums vasyunin -cotan和的显式和渐近公式
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM1716155G
M. Goubi, A. Bayad, M. Hernane
{"title":"Explicit and asymptotic formulae for Vasyunin-cotangent sums","authors":"M. Goubi, A. Bayad, M. Hernane","doi":"10.2298/PIM1716155G","DOIUrl":"https://doi.org/10.2298/PIM1716155G","url":null,"abstract":"For coprime numbers p and q, we consider the Vasyunin–cotangent sum (0.1) V (q, p) = p−1 ∑ k=1 {kq p } cot (πk p ) . First, we prove explicit formula for the symmetric sum V (p, q)+V (q, p) which is a new reciprocity law for the sums (0.1). This formula can be seen as a complement to the Bettin–Conrey result [13, Theorem 1]. Second, we establish asymptotic formula for V (p, q). Finally, by use of continued fraction theory, we give formula for V (p, q) in terms of continued fraction of p q .","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"102 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129574493","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: 7
On δ-suns 在δ太阳
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0897099N
T. D. Narang, S. Tejpal
{"title":"On δ-suns","authors":"T. D. Narang, S. Tejpal","doi":"10.2298/PIM0897099N","DOIUrl":"https://doi.org/10.2298/PIM0897099N","url":null,"abstract":"We prove that an approximatively compact Chebyshev set in an M-space is a δ-sun and a δ-sun in a complete strong M-space (or externally convex M-space) is almost convex.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128218450","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
Common spectral properties of linear operators a and b such that ABA=A² and BAB=B² 使ABA= a²和BAB= b²的线性算子a和b的共同谱性质
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0693109S
C. Schmoeger
{"title":"Common spectral properties of linear operators a and b such that ABA=A² and BAB=B²","authors":"C. Schmoeger","doi":"10.2298/PIM0693109S","DOIUrl":"https://doi.org/10.2298/PIM0693109S","url":null,"abstract":"Let A and B be bounded linear operators on a Banach space such that ABA = A 2 and BAB = B 2 .T henA and B have some spectral properties in common. This situation is studied in the present paper. 1. Terminology and motivation Throughout this paper X denotes a complex Banach space and L(X) the Ba- nach algebra of all bounded linear operators on X.F orA ∈L (X), let N (A) denote the null space of A, and let A(X) denote the range of A.W e use σ(A) ,σ p(A) ,σ ap(A) ,σ r(A) ,σ c(A )a ndρ(A) to denote spectrum, the point spectrum, the approximate point spectrum, the residual spectrum, the continuous spectrum and the resolvent set of A, respectively. An operator A ∈L (X )i ssemi-Fredholm if A(X) is closed and either α(A ): = dim N (A )o rβ(A ): = codimA(X) is finite. A ∈L (X )i sFredolm if A is semi- Fredholm, α(A) < ∞ and β(A) < ∞ .T heFredholm spectrum σF (A )o fA is given by σF (A )= {λ ∈ C : λI − A is not Fredholm}. The dual space of X is denoted by X ∗ and the adjoint of A ∈L (X )b yA ∗ .","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128321355","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: 18
Theorem provers for substructural logics 子结构逻辑的定理证明
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0796055I
Mirjana Isakovic-Ilic
{"title":"Theorem provers for substructural logics","authors":"Mirjana Isakovic-Ilic","doi":"10.2298/PIM0796055I","DOIUrl":"https://doi.org/10.2298/PIM0796055I","url":null,"abstract":"We describe theorem provers for some decidable propositional sub-","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"148 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128445742","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
COMPLEX POWERS OF OPERATORS 算子的复幂
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0897015K
M. Kostic
{"title":"COMPLEX POWERS OF OPERATORS","authors":"M. Kostic","doi":"10.2298/PIM0897015K","DOIUrl":"https://doi.org/10.2298/PIM0897015K","url":null,"abstract":"We define the complex powers of a densely defined operator A whose resolvent exists in a suitable region of the complex plane. Generally, this region is strictly contained in an angle and there exists α ∈ (0, ∞ )s uch that the resolvent of A is bounded by O((1 + |λ|) α ) there. We prove that for some particular choices of a fractional number b, the negative of the fractional power (−A) b is the c.i.g. of an analytic semigroup of growth order r> 0.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128776105","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
Regularly varying functions 常变函数
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0694171J
Anders Hedegaard Jessen, T. Mikosch
{"title":"Regularly varying functions","authors":"Anders Hedegaard Jessen, T. Mikosch","doi":"10.2298/PIM0694171J","DOIUrl":"https://doi.org/10.2298/PIM0694171J","url":null,"abstract":"We consider some elementary functions of the components of a regularly varying random vector such as linear combinations, products, min- ima, maxima, order statistics, powers. We give conditions under which these functions are again regularly varying, possibly with a dieren t index.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128679003","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: 680
On an interpolation process of Lagrange-Hermite type 拉格朗日-赫米特型插值过程
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM1205163M
G. Mastroianni, G. Milovanović, I. Notarangelo
{"title":"On an interpolation process of Lagrange-Hermite type","authors":"G. Mastroianni, G. Milovanović, I. Notarangelo","doi":"10.2298/PIM1205163M","DOIUrl":"https://doi.org/10.2298/PIM1205163M","url":null,"abstract":"We consider a Lagrange-Hermite polynomial, interpolating a func- tion at the Jacobi zeros and, with its first (r 1) derivatives, at the points ±1. We give necessary and sufficient conditions on the weights for the uniform boundedness of the related operator in certain suitable weighted L p -spaces, 1 < p < 1, proving a Marcinkiewicz inequality involving the derivative of the polynomial at ±1. Moreover, we give optimal estimates for the error of this process also in the weighted uniform metric.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"2004 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128733530","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
Asymptotic estimates on finite Abelian groups 有限阿贝尔群的渐近估计
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0374057C
C. Calderón
{"title":"Asymptotic estimates on finite Abelian groups","authors":"C. Calderón","doi":"10.2298/PIM0374057C","DOIUrl":"https://doi.org/10.2298/PIM0374057C","url":null,"abstract":"By using Ivic's methods for general divisor problem and counting function of abelian finite groups, we obtain results related to several arithmetic functions.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"04 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129929116","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
Existence results for nonlinear impulsive qk-integral boundary value problems 非线性脉冲q -积分边值问题的存在性结果
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM1613227Z
Lihong Zhang, B. Ahmad, Guotao Wang
{"title":"Existence results for nonlinear impulsive qk-integral boundary value problems","authors":"Lihong Zhang, B. Ahmad, Guotao Wang","doi":"10.2298/PIM1613227Z","DOIUrl":"https://doi.org/10.2298/PIM1613227Z","url":null,"abstract":"We investigate a nonlinear impulsive qk-integral boundary value problem by \u0000 means of Leray-Schauder degree theory and contraction mapping principle. The \u0000 conditions ensuring the existence and uniqueness of solutions for the problem \u0000 are presented. An illustrative example is discussed.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130325082","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
DETERMINATION OF LARGE FAMILIES AND DIAMETER OF EQUISEPARABLE TREES 相等树木大科和直径的测定
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0693029S
Z. Stanić
{"title":"DETERMINATION OF LARGE FAMILIES AND DIAMETER OF EQUISEPARABLE TREES","authors":"Z. Stanić","doi":"10.2298/PIM0693029S","DOIUrl":"https://doi.org/10.2298/PIM0693029S","url":null,"abstract":"We consider the problem of determining all the members of an arbitrary family of equiseparable trees. We introduce the concept of satura- tion (based on the number partitions). After that, we use the same concept to obtain the least upper bound for the difference in the diameters of two equi- separable trees with m edges. We prove that this bound is equal to (m� 4)/3, where m is the size of trees.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130523819","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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