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International journal of pure and applied mathematics最新文献

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Infra -α- Compact and Infra -α- Connected Spaces Infra -α-紧空间和Infra -α-连通空间
International journal of pure and applied mathematics Pub Date : 2021-08-11 DOI: 10.46300/91019.2021.8.6
Raja Mohammad Latif
{"title":"Infra -α- Compact and Infra -α- Connected Spaces","authors":"Raja Mohammad Latif","doi":"10.46300/91019.2021.8.6","DOIUrl":"https://doi.org/10.46300/91019.2021.8.6","url":null,"abstract":"In 2016 Hakeem A. Othman and Md. Hanif Page introduced a new notion of set in general topology called an infra -α- open set and investigated its fundamental properties and studied the relationship between infra -α- open set and other topological sets. The objective of this paper is to introduce the new concepts called infra -α- compact space, countably infra -α- compact space, infra -α- Lindelof space, almost infra -α- compact space, mildly infra -α- compact space and infra -α- connected space in general topology and investigate several properties and characterizations of these new concepts in topological spaces.","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"82 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85810709","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 Fuzzy L-paracompact Topological Spaces 模糊l -准紧拓扑空间
International journal of pure and applied mathematics Pub Date : 2021-08-03 DOI: 10.46300/91019.2021.8.5
F. Lupiáñez
{"title":"On Fuzzy L-paracompact Topological Spaces","authors":"F. Lupiáñez","doi":"10.46300/91019.2021.8.5","DOIUrl":"https://doi.org/10.46300/91019.2021.8.5","url":null,"abstract":"The aim of this paper is to study fuzzy extensions of some covering properties defined by L. Kalantan as a modification of some kinds of paracompactness-type properties due to A.V.Arhangels'skii and studied later by other authors. In fact, we obtain that: if (X,T) is a topological space and A is a subset of X, then A is Lindelöf in (X,T) if and only if its characteristic map χ_{A} is a Lindelöf subset in (X,ω(T)). If (X,τ) is a fuzzy topological space, then, (X,τ) is fuzzy Lparacompact if and only if (X,ι(τ)) is L-paracompact, i.e. fuzzy L-paracompactness is a good extension of L-paracompactness. Fuzzy L₂-paracompactness is a good extension of L₂- paracompactness. Every fuzzy Hausdorff topological space (in the Srivastava, Lal and Srivastava' or in the Wagner and McLean' sense) which is fuzzy locally compact (in the Kudri and Wagner' sense) is fuzzy L₂-paracompact","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81147745","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
M – STAR – Irresolute Topological Vector Spaces M - STAR -不决拓扑向量空间
International journal of pure and applied mathematics Pub Date : 2021-02-08 DOI: 10.46300/91019.2020.7.4
Raja Mohammad Latif
{"title":"M – STAR – Irresolute Topological Vector Spaces","authors":"Raja Mohammad Latif","doi":"10.46300/91019.2020.7.4","DOIUrl":"https://doi.org/10.46300/91019.2020.7.4","url":null,"abstract":"In 2016 A. Devika and A. Thilagavathi introduced a new class of sets called M*-open sets and investigated some properties of these sets in topological spaces. In this paper, we introduce and study a new class of spaces, namely M*-irresolute topological vector spaces via M*-open sets. We explore and investigate several properties and characterizations of this new notion of M*-irresolute topological vector space. We give several characterizations of M*-Hausdorff space. Moreover, we show that the extreme point of the convex subset of M*-irresolute topological vector space X lies on the boundary.","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91068869","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
FULLY-DIVERSE LATTICES FROM RAMIFIED CYCLIC EXTENSIONS OF PRIME DEGREE 素次的分枝循环扩展的完全异格
International journal of pure and applied mathematics Pub Date : 2021-01-04 DOI: 10.12732/ijam.v33i6.4
J. Interlando
{"title":"FULLY-DIVERSE LATTICES FROM RAMIFIED CYCLIC EXTENSIONS OF PRIME DEGREE","authors":"J. Interlando","doi":"10.12732/ijam.v33i6.4","DOIUrl":"https://doi.org/10.12732/ijam.v33i6.4","url":null,"abstract":"Let p be an odd prime. Algebraic lattices of full diversity in dimension p are obtained from ramified cyclic extensions of degree p. The 3, 5, and 7-dimensional lattices are optimal with respect to sphere packing density and therefore are isometric to laminated lattices in those dimensions. AMS Subject Classification: 11H31, 11R18, 11H50, 94B75","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"33 1","pages":"1009"},"PeriodicalIF":0.0,"publicationDate":"2021-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84761871","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
The Dаrbоuх Theory and Geodesics in the Metric Space with Torsion 带扭转的度量空间中的测地线与dtm理论
International journal of pure and applied mathematics Pub Date : 2020-12-18 DOI: 10.46300/91019.2020.7.3
{"title":"The Dаrbоuх Theory and Geodesics in the Metric Space with Torsion","authors":"","doi":"10.46300/91019.2020.7.3","DOIUrl":"https://doi.org/10.46300/91019.2020.7.3","url":null,"abstract":"The geometry of n Yn space is generated congruently together by the metric tensor and the torsion tensor. In the presented article has been obtained an analog of the Dаrbоuх theory in the n Yn space, also studied the deduction of the equation of the geodesic lines on the hypersurface that embedded in such spaces, showed that in the n Yn space the structure of the curvature tensor has special features and for curvature tensor obtained Ricci - Jacobi identity. We establish that the equations of the geodesics have additional summands, which are caused by the presence of torsion in the space. In n Yn space, the variation of the length of the geodesic lines is proportional to the product of metric and torsion tensors gijSjpk. We have introduced the second fundamental tensor παβ for the hypersurface n Yn-1 and established its structure, which is fundamentally different from the case of the Riemannian spaces with zero torsion. Furthermore, the results on the structure of the curvature tensor have been obtained.","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"161 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78107102","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
A GENERALIZED FINITE-DIFFERENCES SCHEME USED IN MODELING OF A DIRECT AND AN INVERSE PROBLEM OF ADVECTION-DIFFUSION 平流扩散正反问题的广义有限差分格式
International journal of pure and applied mathematics Pub Date : 2020-08-31 DOI: 10.12732/ijam.v33i4.5
F. Dom 'inguez-Mota, J. S. L. 'inez, G. Tinoco-Guerrero
{"title":"A GENERALIZED FINITE-DIFFERENCES SCHEME USED IN MODELING OF A DIRECT AND AN INVERSE PROBLEM OF ADVECTION-DIFFUSION","authors":"F. Dom 'inguez-Mota, J. S. L. 'inez, G. Tinoco-Guerrero","doi":"10.12732/ijam.v33i4.5","DOIUrl":"https://doi.org/10.12732/ijam.v33i4.5","url":null,"abstract":"Abstract: This work presents the use of a schemes in generalized finitedifferences for the calculation of a numeric solution associated to a stationary, advection-diffusion problem, and the usage of such schemes in the study of an inverse problem related to this one, in which a non-linear, regularized leastsquares adjustment is employed to determine certain coefficients involved in the problem.","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"25 1","pages":"599"},"PeriodicalIF":0.0,"publicationDate":"2020-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75099117","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
ON THE MULTI-INDEX MITTAG-LEFFLER FUNCTIONS AND THEIR MELLIN TRANSFORMS 多指标mittagleffler函数及其mellin变换
International journal of pure and applied mathematics Pub Date : 2020-08-31 DOI: 10.12732/ijam.v33i4.1
J. Paneva-Konovska, V. Kiryakova
{"title":"ON THE MULTI-INDEX MITTAG-LEFFLER FUNCTIONS AND THEIR MELLIN TRANSFORMS","authors":"J. Paneva-Konovska, V. Kiryakova","doi":"10.12732/ijam.v33i4.1","DOIUrl":"https://doi.org/10.12732/ijam.v33i4.1","url":null,"abstract":"In this survey paper we consider the classes of the multi-index Mittag-Leffler functions, introduced and studied by the authors as extensions of the classical Mittag-Leffler functions Eα,β and of the Prabhakar function E γ α,β, by means of replacing the 2 parameters α, β, respectively the 3 parameters α, β, γ, by 2m-, resp. 3msets of parameters, m = 1, 2, 3, ...: α → (α1, α2, ..., αm), β → (β1, β2, ..., βm), γ → (γ1, γ2, ..., γm). Some of their basic properties are discussed, such as the order and type of these entire functions, their place among the special functions of fractional calculus and previously known classical special functions, especially their representations as Wright’s generalized hypergeometric functions and Fox’s H-functions. A very long list of interesting and useful special functions that appear as particular cases is provided. The importance of the Mellin integral transform is well known as a tool for development of the theories of the special functions and fractional calculus, in many problems for fractional order differential equations and systems whose solutions are usually presented in terms of Mittag-Leffler type functions, and in treating various mathematical models in stochastics, control theory, financial mathematics, etc., that are also widely exploring this kind of special functions. Therefore, in this survey we emphasize on the results for the Mellin-Barnes type Received: April 6, 2020 c © 2020 Academic Publications Correspondence author 550 J. Paneva-Konovska, V. Kiryakova contour integral representation of the multi-index Mittag-Leffler functions, and thus on their Mellin transform images. AMS Subject Classification: 30D20, 33E12, 44A20, 26A33","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"70 1","pages":"549"},"PeriodicalIF":0.0,"publicationDate":"2020-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82202315","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: 15
WELL-ROUNDED LATTICES VIA POLYNOMIALS WITH REAL ROOTS 由实根多项式构成的圆角格
International journal of pure and applied mathematics Pub Date : 2020-08-31 DOI: 10.12732/ijam.v33i4.10
C. Alves, W.L.S. Pinto, A. A. Andrade
{"title":"WELL-ROUNDED LATTICES VIA POLYNOMIALS WITH REAL ROOTS","authors":"C. Alves, W.L.S. Pinto, A. A. Andrade","doi":"10.12732/ijam.v33i4.10","DOIUrl":"https://doi.org/10.12732/ijam.v33i4.10","url":null,"abstract":"Well-rounded lattices have been a topic of recent studies with applications in wiretap channels and in cryptography. A lattice of full rank in Euclidean space is called well-rounded if its set of minimal vectors spans the whole space. In this paper, we investigate the well-roundedness of lattices coming from polynomials with integer coefficients and real roots. AMS Subject Classification: 11H31, 11H06, 11H71","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"29 1","pages":"663"},"PeriodicalIF":0.0,"publicationDate":"2020-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72947344","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
LIMITS OF BENFORD'S LAW IN EXPERIMENTAL FIELD 本福德定律在实验领域的局限性
International journal of pure and applied mathematics Pub Date : 2020-08-31 DOI: 10.12732/ijam.v33i4.12
S. B. D. Silva
{"title":"LIMITS OF BENFORD'S LAW IN EXPERIMENTAL FIELD","authors":"S. B. D. Silva","doi":"10.12732/ijam.v33i4.12","DOIUrl":"https://doi.org/10.12732/ijam.v33i4.12","url":null,"abstract":"Two of the main flaws of Benford’s law will be discussed in this article: (i) the first one, which leads the observer to consider an experimental dataset as the result of a single random variable rather than several, makes this law so mysterious; (ii) the second one is that Benford’s probabilities have long been considered as perfect values: this is obviously not the case. AMS Subject Classification: 60E05","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"16 1","pages":"685"},"PeriodicalIF":0.0,"publicationDate":"2020-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76806089","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
PROBABILISTIC $varphi$-CONTRACTION IN $b$-MENGER SPACES WITH FULLY CONVEX STRUCTURE 具有全凸结构的menger空间中的概率收缩
International journal of pure and applied mathematics Pub Date : 2020-08-31 DOI: 10.12732/ijam.v33i4.7
A. Mbarki, R. Oubrahim
{"title":"PROBABILISTIC $varphi$-CONTRACTION IN $b$-MENGER SPACES WITH FULLY CONVEX STRUCTURE","authors":"A. Mbarki, R. Oubrahim","doi":"10.12732/ijam.v33i4.7","DOIUrl":"https://doi.org/10.12732/ijam.v33i4.7","url":null,"abstract":"","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"65 6 1","pages":"621"},"PeriodicalIF":0.0,"publicationDate":"2020-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83667627","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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