5,377 Results Found

We determine the exact operator norms of the weighted Hardy operator $U_{\psi }$ and the weighted Cesàro operator $V_{\psi }$ on Total Morrey spaces $L_{p,\lambda ,\mu }\left({\mathbb{R}}^n\right)$. We also study their commutators with symbols $b\in \mathrm{BMO}\left({\mathbb{R}}^n\right)$ satisfying the additio...

This paper introduces the Transmuted Unit Burr XII (TrUBXII) distribution, a flexible probability model for analyzing bounded data that exhibit skewness and heavy-tailed characteristics. The proposed distribution is derived by incorporating a transmu...

In the present paper, we derive sharp bounds for Schippers–Schwarzian derivatives of functions belonging to the two core Ma–Minda subclasses associated with the canonical half-plane majorant $\psi \left(z\right)={\displaystyle \frac{1+z}{1-z}}$: the convex class $\mathcal{C}(\psi$...

We developed a random-field theory for the Euler–Poisson–Darboux equation on Euclidean space under additive Gaussian forcing that was white in the evolution variable and spatially homogeneous. An explicit two-parameter Bessel Green kernel...

In this paper, we investigate wave equations with a general class of Lipschitz nonlinearities combining power and logarithmic terms. Local existence and uniqueness of weak solutions are established via the Galerkin method. For nonlinearities of defoc...

This paper addresses the investigation of an equilibrium problem describing an elastic body with an incorporated thin elastic Timoshenko inclusion, provided that the Neumann boundary condition is imposed on the external boundary of the body. The incl...

The functional linear model $Y={\int }_{\mathcal{T}}X\left(t\right){\beta }_0\left(t\right)dt+\epsilon$ is widely used in various fields, including medical image analysis, economics, and climate science. Reliable statistical inference for ${\beta }_0\left(t\right)$ across the domain $t\in \mathcal{T}$ is essential i...

Accurate data-driven identification and long-term forecasting of surface ship motions in realistic ocean environments are essential for advanced autonomous navigation and predictive control systems. However, robust system identification in such condi...

We study the valuation of European exchange options subject to the issuer’s terminal default risk under correlated skew Brownian motions. The two underlying assets and the issuer’s asset value are exposed to correlated Gaussian risks and...

We prove the Wave Function Identity (WFI), a newly discovered property of solutions to the two-dimensional Schrödinger–Pauli equation for the $N=3$ electron Coulombically interacting harmonically bound `artificial atom’ or quantum dot...

A network risk associated with persistent exposure depends on both the history of the exposure and the points at which decisions can be made. These two sources of dependence must remain distinguishable when an arc is divided into shorter segments. Su...

This paper investigates the oscillatory behavior of a new class of second-order nonlinear neutral advanced differential equations with mixed superlinear and sublinear neutral terms in the noncanonical case. The coexistence of these nonlinearities sub...

In this study, we investigate a Slash Marshall–Olkin (SMO) family obtained by dividing a positive Marshall–Olkin random variable by an independent beta variable. Its four-parameter exponential member (SMOE) has a regularly varying power-l...

This paper investigates cyclic codes over $F_q^n\times P^m\times Q^k$, where F_q is a finite field of odd characteristic, $P=F_q\left[v\right]/⟨v^2-{\tau }_{2}v⟩$, and $Q=F_q[u,v]/⟨u^3-{\tau }_1^{2}u,v^2-{\tau }_{2}v⟩$, with ${\tau }_1,{\tau }_2\in F_q^{*}$...

In this paper, we deal with a challenging problem in Discrete Geometry. The problem is to maximize the number of halving lines for finite sets in the plane. With respect to this, we improve the lower bounds for the maximum number of halving lines for...

In this paper, we study the energy decay rate for a porous-elastic system with fractional infinite memory, which acts on the material displacement equation. Using the frequency domain method, we show that the energy decay rate of the system depends o...

In this paper, we introduce and investigate a refined generalization of convexity, termed the multiplicatively strongly s-convex function, and establish several of its fundamental algebraic properties. Within the framework of multiplicative calculus,...

Quantile regression (QR) provides a flexible framework for characterizing conditional distributions and can offer useful insights for quantile estimation. In this paper, we provide intuition for the interpretation of QR by highlighting the approach t...

This paper develops a comprehensive quasi-frame theory for inextensible curve flows in the dual space ${\mathbb{D}}^3$. While the Frenet frame has been the traditional tool for studying curve evolution, it encounters singularities when curvature vanishes. We intro...

Nodal filters provide an order-theoretic approach to the study of the filter structure of algebraic systems. In this paper, we investigate nodal filters in equality algebras, with particular emphasis on nodal filters of types 1, 2, and 3. We first es...

In this paper, we obtain new criteria for the boundedness, the compactness and the essential norm of composition operators acting from the space ${\mathcal{H}}^{\infty }$ of bounded harmonic mappings into weighted harmonic Bloch spaces ${\mathcal{B}}_H^{\alpha }$, $0<\alpha <\&inf$...

We study short multiplicative relations among additive translates of algebraic numbers. Every quadratic algebraic number admits infinitely many relations with three factors on each side and arbitrarily large integer shifts. For quadratic algebraic in...

This paper addresses the treatment of large T-elements, based on Lagrange interpolation, through the application of constraints along the horizontal and vertical mesh lines of a quadrilateral patch. Instead of resorting to manual or symbolic factoriz...

A point-cyclic resolution of a 2-$(v,k,1)$ design is invariant under a cyclic automorphism group of order v. Point-cyclic resolutions are of interest for their relations to many other combinatorial structures, and for their various applications. Resolu...

Dempster–Shafer evidence theory and rough set theory are two important mathematical tools for dealing with uncertain information, and their integration provides a powerful theoretical framework for quantifying cognitive uncertainty. The classic...

Parametrized Relativistic Quantum Theory (PRQT) extends conventional relativistic quantum mechanics by introducing an invariant evolution parameter (s) and a broader symmetry group. This paper presents the axiomatic and probabilistic foundations of P...

We study bivariate copulas that have a singular component on the main diagonal and are generated by a single univariate function, the correlation function. The resulting class is that of lower semilinear copulas; in this parametrisation, known facts...

In this paper, we study a variational inclusion problem in a real ordered Hilbert space via an averaged-operator-based approach. The proposed framework combines Yosida and Cayley approximation operators with the logical XOR and XNOR operations, resul...

The Sombor index of a graph G is $SO\left(G\right)={\sum }_{uv\in E\left(G\right)}{(d_G{\left(u\right)}^2+d_G{\left(v\right)}^2)}^{1/2}$, where $d_G\left(v\right)$ denotes the degree of v. The repetition number of G is the maximum multiplicity of an entry in its degree sequence. In this paper, we determine the maximum Sombor...

Let ℑ and ℜ be unital complex *-algebras, and suppose that ℑ contains a nontrivial projection ${\wp }_1$. Writing ${\wp }_2={\gimel }_{\Im }-{\wp }_1$, assume the annihilator conditions $\vartheta \Im {\wp }_1=0\Rightarrow \vartheta$...

Let p be a prime, let $n\ge 2$, and let R be a finite commutative local ring that is free of rank three over $R_0={\mathbb{Z}}_{p^n}$ and has residue field ${\mathbb{F}}_p$. We show that $R/pR$ is isomorphic either to ${\mathbb{F}}_p\left[t\right]/\left(t^3\right)$ or to ${\mathbb{F}}_p[s,t]/{(s,t)}^2$, and that this dichotomy governs the...

Circular data arise naturally in a wide range of scientific fields, including biology, geology, meteorology, and environmental sciences, where conventional linear statistical methods are inappropriate unless the circular structure of the observations...

Infinite series about reciprocal products of Fibonacci and Lucas numbers are systematically examined. This is done by incorporating the telescoping method, Cassini-like identities and partial fractions, as well as the induction principle. Numerous cl...

Let F be a complete, non-trivially valued, non-Archimedean field of characteristic zero. This paper studies the space ${\widehat{V}}_{\lambda }$ of $\lambda$-almost convergent sequences over F and its paranormed generalization ${\widehat{V}}_{\lambda }\left(p\right)$, establishing it as a comp...

We develop an energy-stable variable-step BDF2-based scalar auxiliary variable (SAV) finite element scheme for a droplet thin-film coarsening model with a Lennard–Jones singular potential. The method uses continuous piecewise linear finite elem...

By using the forward order law for the Drazin inverse of matrix products, we investigate the Drazin inverse of $2\times 2$ block triangular matrices. A necessary and sufficient condition for ${\left(\begin{array}{cc}A& B\\ O& C\end{array}\right)}^D=\left(\begin{array}{cc}{A}^D& B^D\\ O& C^D\end{array}\right)$ is presented. Notably, this condition is expres...

This paper proposes two modified Adomian decomposition method-based algorithms for solving fractional delay boundary value problems. The algorithms effectively handle linear and nonlinear problems by constructing rapidly convergent series solutions u...

An energy-flow approach (EFA) is developed to reveal the critical flutter speed (CFS) of an air–structure electromagnetic interactive flutter system. To illustrate the theory and method, a two-DOF integrated linear/nonlinear coupling system is...

This study investigates the comparative performance of the Weibull accelerated failure time (AFT) model and the Cox proportional hazards (PH) model for interval-censored Weibull data. The study emphasizes baseline survival function precision and conf...

This study introduces the Cauchy–Modified Garima (CMG) distribution, a flexible two-parameter lifetime model obtained by applying a Cauchy-type generator to the Modified Garima distribution. Several statistical properties of the model are deriv...

Chiantini and others in Arxiv:2026.25060v1 introduced the Weddle locus $W(Z,d)$ of a finite set in the framework of Veronese embeddings of ${\mathbb{P}}^n$. It is the Zariski closure in ${\mathbb{P}}^n$ of an even more interesting algebraic object, $W^0(Z,d)$. In this paper, we give...

We start from a pure vector update of the concepts of complex numbers and the characteristic function of a probability distribution, free from the imaginary unit, and update some basic properties of the latter. In particular, we derive vector inverse...

This study investigates the dynamics of solutions to nonlinear difference equations. The equation under study is distinguished by its dynamical richness and contains many interesting special cases, including May’s Host–Parasitoid Model. W...

In this review article, we first introduce the density matrix, along with its properties and

time evolution. We note that one of the principal uses of the density matrix is to calculate

measurement probabilities in quantum mechanics. When only some of...

This paper investigates degradation modeling and failure time prediction for constant-stress accelerated degradation tests (CSADT) using a generalized Wiener process. Owing to differences in manufacturing processes and operating environments, the deg...

The analysis of lifetime data in the presence of multiple competing causes of failure remains a fundamental problem in reliability and survival studies, particularly when observations are obtained under complex and resource-constrained censoring mech...

This paper introduces and studies alternating points of two set-valued mappings acting between two 0-complete strong partial b-metric spaces. An alternating point is a mutually compatible pair of states, each of which belongs to the image of the othe...

We consider hypothesis tests for the multiple linear regression model with ordinary least squares if the predictor variables have been scaled to have unit sample variance. Some tests are unchanged, but confidence intervals, confidence regions, and so...

We consider a coupled system of Caputo–Katugampola integro–fractional stochastic differential equations with Volterra memory, nonlocal integral boundary conditions, Wiener perturbations, and compensated Poisson jumps. The main purpose is...

In this paper, we investigate how the properties of the nowhere dense subspaces reflect those of the entire space. We call a space X an SAC-$\mathcal{P}$ space if the set of accumulation points of any infinite family of mutually disjoint open subsets of X is a n...