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Browse Our Mathematics and Statistics Journals
Mathematics and statistics journals publish papers on the theory and application of mathematics, statistics, and probability. Most mathematics journals have a broad scope that encompasses most mathematical fields. These commonly include logic and foundations, algebra and number theory, analysis (including differential equations, functional analysis and operator theory), geometry, topology, combinatorics, probability and statistics, numerical analysis and computation theory, mathematical physics, etc.
When it comes to mathematics, we can classify it into pure and applied mathematics. Pure mathematics studies mathematical concepts separately from any form of mathematical application. It focuses on exploring basic ideas that make up mathematics and providing a deeper understanding of the field. It encompasses number theory, algebra, combinatorics, geometry, topology, and mathematical analysis.
On the other hand, applied mathematics encompasses the application of mathematical methods by different fields and industries. Applied mathematicians use existing theoretical knowledge and put it into practical use to solve problems in engineering, business, epidemiology, government, social sciences, and so on. Applied mathematics includes statistics, computational sciences, mathematical physics, operations research, and mathematical programming.
Statistics and probability treat the collection, organization, analysis, interpretation, and display of a large number of numerical data. For example, probability studies how often an event will happen after a certain number of repeated trials.
The mathematics and statistics journals welcome publications in the form of reviews, regular research, and short communications in all areas of pure and applied mathematics. Some articles may also publish media reviews, current trend surveys, modern theoretical techniques, and new ideas and tools in different mathematics areas.
Mathematics journals aim to encourage researchers to publish theoretical research in detail. These publications tend to become a forum for discussion of current and future field-related studies. These journals are partly open-access and only feature peer-reviewed articles.
The primary audience for these journals includes mathematicians, statisticians, graduate and undergraduate students, researchers, and other individuals interested in mathematical research.
AKJournals is proud to present its collection of six high-quality mathematics and statistics journals. Most of our journals publish papers treating both pure and applied mathematics fields: Acta Mathematica Hungarica, Mathematica Pannonica, and Periodica Mathematica Hungarica. Some journals from our collection specialize in specific areas such as scientometrics (Scientometrics), combinatorics, geometry, and topology (Studia Scientiarum Mathematicarum Hungarica), or modern and classical analysis (Analysis Mathematica).
A ﬂuid queueing system in which the ﬂuid ﬂow in to the buffer is regulated by the state of the background queueing process is considered. In this model, the arrival and service rates follow chain sequence rates and are controlled by an exponential timer. The buffer content distribution along with averages are found using continued fraction methodology. Numerical results are illustrated to analyze the trend of the average buffer content for the model under consideration. It is interesting to note that the stationary solution of a ﬂuid queue driven by a queue with chain sequence rates does not exist in the absence of exponential timer.
Authors:Behrooz Mohebbi Najmabadi, Tayebe Lal Shateri, and Ghadir Sadeghi
In this paper, we deﬁne an orthonormal basis for 2-*-inner product space and obtain some useful results. Moreover, we introduce a 2-norm on a dense subset of a 2-*-inner product space. Finally, we obtain a version of the Selberg, Buzano’s and Bessel inequality and its results in an A-2-inner product space.
We provide a Maltsev characterization of congruence distributive varieties by showing that a variety 𝓥 is congruence distributive if and only if the congruence identity … (k factors) holds in 𝓥, for some natural number k.
Fix 2 < n < ω and let CAn denote the class of cyindric algebras of dimension n. Roughly CAn is the algebraic counterpart of the proof theory of first order logic restricted to the first n variables which we denote by Ln. The variety RCAn of representable CAns reflects algebraically the semantics of Ln. Members of RCAn are concrete algebras consisting of genuine n-ary relations, with set theoretic operations induced by the nature of relations, such as projections referred to as cylindrifications. Although CAn has a finite equational axiomatization, RCAn is not finitely axiomatizable, and it generally exhibits wild, often unpredictable and unruly behavior. This makes the theory of CAn substantially richer than that of Boolean algebras, just as much as Lω,ω is richer than propositional logic. We show using a so-called blow up and blur construction that several varieties (in fact infinitely many) containing and including the variety RCAn are not atom-canonical. A variety V of Boolean algebras with operators is atom canonical, if whenever ∈ V is atomic, then its Dedekind-MacNeille completion, sometimes referred to as its minimal completion, is also in V. From our hitherto obtained algebraic results we show, employing the powerful machinery of algebraic logic, that the celebrated Henkin-Orey omitting types theorem, which is one of the classical first (historically) cornerstones of model theory of Lω,ω, fails dramatically for Ln even if we allow certain generalized models that are only locallly classical. It is also shown that any class K such that NrnCAω ∩ CRCAn K ScNrnCAn+3, where CRCAn is the class of completely representable CAns, and Sc denotes the operation of forming dense (complete) subalgebras, is not elementary. Finally, we show that any class K such that SdRaCAω K ScRaCA5 is not elementary, where Sd denotes the operation of forming dense subalgebra.
Authors:Abdullah Alahmari, Falih A. Aldosray, and Mohamed Mabrouk
Let 𝔄 be a unital Banach algebra and ℜ its Jacobson radical. This paper investigates Banach algebras satisfying some chain conditions on closed ideals. In particular, it is shown that a Banach algebra 𝔄 satisfies the descending chain condition on closed left ideals then 𝔄/ℜ is finite dimensional. We also prove that a C*-algebra satisfies the ascending chain condition on left annihilators if and only if it is finite dimensional. Moreover, other auxiliary results are established.
We give two new simple characterizations of the Cauchy distribution by using the Möbius and Mellin transforms. They also yield characterizations of the circular Cauchy distribution and the mixture Cauchy model.
Authors:Péter Kórus, Luciano M. Lugo, and Juan E. Nápoles Valdés
In this paper we present different variants of the well-known Hermite–Hadamard inequality, in a generalized context. We consider general fractional integral operators for h-convex and r-convex functions.
In this study, a normalized form of regular Coulomb wave function is considered. By using the differential subordinations method due to Miller and Mocanu, we determine some conditions on the parameters such that the normalized regular Coulomb wave function is lemniscate starlike and exponential starlike in the open unit disk, respectively. In additon, by using the relationship between the regular Coulomb wave function and the Bessel function of the first kind we give some conditions for which the classical Bessel function of the first kind is lemniscate and exponential starlike in the unit disk 𝔻.
Authors:Carlos M. da Fonseca, Victor Kowalenko, and László Losonczi
This survey revisits Jenő Egerváry and Otto Szász’s article of 1928 on trigonometric polynomials and simple structured matrices focussing mainly on the latter topic. In particular, we concentrate on the spectral theory for the first type of the matrices introduced in the article, which are today referred to as k-tridiagonal matrices, and then discuss the explosion of interest in them over the last two decades, most of which could have benefitted from the seminal article, had it not been overlooked.
Let K = ℚ(α) be a number field generated by a complex root α of a monic irreducible polynomial f(x) = x24 – m, with m ≠ 1 is a square free rational integer. In this paper, we prove that if m ≡ 2 or 3 (mod 4) and m ≢∓1 (mod 9), then the number field K is monogenic. If m ≡ 1 (mod 4) or m ≡ 1 (mod 9), then the number field K is not monogenic.