2.341 hasil
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Open Mathematics
Scopus
ISSN 2391-5455 · De Gruyter · 2.341 artikel di indeks
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Artikel Jurnal
Accretive partial transpose matrices and their connections to matrix means
Accretive partial transpose (APT) matrices have been recently defined, as a natural extension of positive partial transpose (PPT) matrices. In this paper, we discuss further properties of APT matrices in a way that extends some of those properties known for PPT matrices. Among many results, we show…
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Artikel Jurnal
Local gradient estimation for nonlinear degenerate parabolic variational inequalities derived from the value analysis of financial derivatives
This study examines the spatial gradient estimation of solutions to a particular class of variational inequality problems that arise from the structure of nonlinear degenerate parabolic operators. Specifically, under the assumption that 2≤p≤2(1+2n) $2\le p\le 2\left(1+2/n \right.\right)$ (where n…
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Artikel Jurnal
Multiple solutions for the p-biharmonic equation with a polynomial nonlinearity and a sign-changing logarithmic nonlinearity
In this paper, we consider a boundary problem for a p-biharmonic equation ΔΔup−2Δu=axup−2ulnu+bxup−2u ${\Delta}\left({\left\vert {\Delta}u\right\vert }^{p-2}{\Delta}u\right)=a\left(x\right){\left\vert u\right\vert }^{p-2}u\mathrm{ln}\left\vert u\right\vert +b\left(x\right){\left\vert u\right\vert…
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Artikel Jurnal
Some lower bounds for maximum colored cuts
For an edge-colored graph, the Maximum Colored Cut problem is to find a bipartition maximizing the number of colors in edges going across the bipartition. This problem is a generalization of the classical Max-Cut problem. Let G be an edge-colored graph with p colors, and let mcc(G) be the maximum…
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Artikel Jurnal
On singular double phase problem with variable exponents and convolution term
In this article, we consider the following singular double phase problem with variable exponents and convolution term of the form: −Tp(x),q(x)α(x)(u)=λs(x)u−γ(x)+∫Ω|u(x)|h(x)|x−y|μ(x,y)|u(y)|h(x)−2u(y)inΩ,u=0on∂Ω, $$\begin{cases}-{\mathcal{T}}_{p\left(x\right),q\left(x\right)}^{\alpha…
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Artikel Jurnal
Analytical solution for dynamic transverse vibrations of non-uniform beams on the variable foundations
We demonstrate an analytical solution for the dynamic transversal vibrations of non-uniform beams on variable foundations. The exact expressions of eigenvalues and eigenfunctions are derived. The proposed dynamic model of the non-uniform beam with clamped conditions reduces to the dynamic model of…
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Artikel Jurnal
On some inverse problems for a degenerate parabolic equation with involution
In this paper, the solvability of some initial-boundary value problems is considered for a nonlocal analogue of the degenerate parabolic equation. The inverse problems are studied for the case where it is necessary to find not only a solution to the equation but also the function in its right-hand…
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Artikel Jurnal
Domination parameters on Cayley digraphs of full transformation semigroups relative to Green’s equivalence L $\mathcal{L}$ -classes and their complements
Let T(X) be a full transformation semigroup on a nonempty set X. The Cayley digraph Γ of a semigroup T(X) with respect to the Green’s L $\mathcal{L}$ -class is a digraph with vertex set T(X) and two vertices α, β ∈ T(X) are adjacent as an arc (α, β) whenever β = αμ for some μ in a connection set L…
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Artikel Jurnal
Hardy operators on weighted Herz–Morrey spaces
This paper extends the boundedness of the higher-dimensional Hardy operator and the higher-dimensional adjoint Hardy operator to the weighted Herz–Morrey spaces. As special cases of our main results, we also have the boundedness of the higher-dimensional Hardy operator and the higher-dimensional…
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Artikel Jurnal
Exploring bicomplex numbers in the context of Lorentz spaces
In this paper, we define bicomplex Lorentz spaces built by bicomplex valued functions and explore their fundamental properties and characteristics. We begin by introducing the basic definitions and notations associated with bicomplex Lorentz spaces, including the concept of bicomplex distribution…
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Artikel Jurnal
Sweeping surfaces according to quasi curve and quasi focal curve in Euclidean 3-space
In this paper, sweeping surfaces generated by quasi curves and quasi focal curves are introduced using a quasi frame in the Euclidean 3-space. First, the singular points, the Gaussian and mean curvatures of sweeping surfaces with a quasi curve are obtained. The necessary and sufficient conditions…
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Artikel Jurnal
The short-time linear canonical transform and quasiasymptotic behavior of distributions
This paper employs a duality-based approach to develop a framework for the short-time linear canonical transform (STLCT) and its synthesis operator within the Schwartz space of distributions. The resulting theory is then applied to characterize the boundedness and quasiasymptotic behavior of…
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Artikel Jurnal
Some new Gronwall–Bellman–Pachpatte type integral inequalities
This paper establishes some Gronwall–Bellman–Pachpatte type integral inequalities that generalize some well-known earlier inequalities. It also shows that we can deal with such inequalities in various ways, resulting in different upper bounds. These techniques are also applicable to similar…
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Artikel Jurnal
Stability of the minimum residual method for solving linear operator equations
In this paper, we propose a minimum residual method for solving linear operator equations with linear boundary conditions, constructed using orthonormal bases in a separable Hilbert space. The convergence of the method is proven rigorously. Subsequently, by demonstrating that the condition number…
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Artikel Jurnal
On singular limits and exponential decay in full von Kármán beam with temperature and microtemperatures
In this article, we consider the recently derived mathematical model of the full von Kármán beam with temperature and microtemperature effects. The nonlinear governing equations were derived by using Hamilton principle in the framework of Euler–Bernoulli beam theory. The new aspect we propose here…
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Artikel Jurnal
Closed ss-semilocal modules and rings
A module A is designated as closed ss -semilocal module provided for any closed submodule G of A, there exists a submodule H of A such that A = G + H and G ∩ H ≤ Soc s(A) where Soc s(A) = Rad(A) ∩ Soc(A) and a ring S is named as closed ss -semilocal ring provided the left S-module S S is a closed…
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Artikel Jurnal
On deferred arithmetic statistical convergence
In this paper we introduce the notion of deferred arithmetic statistical convergence, which combines the arithmetic approach to convergence with a deferred statistical scheme. After presenting basic examples, we study fundamental structural properties of the resulting class of sequences. In…
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Artikel Jurnal
Sharp bounds for the tangent mean by weighted power mean of arithmetic and geometric means
Using the monotonicity rules for the ratios of two functions (power series), the optimal bounds for the tangent mean in terms of weighted power means of arithmetic and geometric means are obtained. The main results generalize and strengthen the known results obtained by Nowicka and Witkowski…
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Artikel Jurnal
On (3, 1)-absorbing primary ideals in commutative rings
In this paper, we introduce and study the class of (3, 1)-absorbing primary ideals in commutative rings. We establish several characterizations and examine their relationship with classical 1-absorbing primary ideals. Multiple criteria are provided, including conditions under which the two notions…
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Artikel Jurnal
On characterizations of g n-helices with Euler angles
Curvature and torsion, in their most general forms, are defined in terms of Euler angle-based parametrization via the Cartan matrix, which leads to the Serret-Frenet equations. Euler angles are used to develop simple and general expressions for the elements of a curve with respect to the Cartan…
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