Axioms, Volume 14, Issue 1

We introduce the Hölder width, which measures the best error performance of some recent nonlinear approximation methods, such as deep neural network approximation. Then, we investigate the relationship between Hölder widths and other widths...

To explore intermittency in discrete systems with two or more degrees of freedom, we analyze the general characteristics of type I intermittency within a two-dimensional map. This investigation is carried out numerically, concentrating on the system&...

This paper is mainly concerned with the study of two bond incident degree (BID) indices, namely the variable sum exdeg index $SE{I}_a$ and the general zeroth-order Randić index ${}^{0}R_{\alpha }$. The minimum values of $SE{I}_a$ and ${}^{0}R_{\alpha }$ in the class of all t...

This study introduces a numerically efficient iterative solver for computing the Drazin generalized inverse, addressing a critical need for high-performance methods in matrix computations. The proposed two-step scheme achieves sixth-order convergence...

The fundamental notions of the intuitionistic hesitant fuzzy set (IHFS) and rough set (RS) are general mathematical tools that may easily manage imprecise and uncertain information. The EDAS (Evaluation based on Distance from Average Solution) approa...

This paper provides a solution to the new fractional-order Lorenz–Stenflo model using the adaptive predictor–corrector approach and the $\rho$-Laplace New Iterative Method ($L_{\rho }NIM$), representing an extensive comparison between both tech...

Logistic regression models encounter challenges with correlated predictors and influential outliers. This study integrates robust estimators, including the Bianco–Yohai estimator (BY) and conditionally unbiased bounded influence estimator (CE),...

Data center architecture plays an important role in effective server management network systems. Load balancing is one such data architecture used to efficiently distribute network traffic to the server. In this paper, we incorporated the load-balanc...

Let G be a finite simple graph and let $A\left(G\right)$ be its adjacency matrix. Then, G is singular if $A\left(G\right)$ is singular. The singularity of graphs is of certain interest in graph theory and algebraic combinatorics. For positive integers $a_i\ge 2$, $i=1,2,\dots ,$...

An examination was previously derived to conclude the understanding of the response of a cantilever beam with a tip mass (CBTM) that is stimulated by a parameter to undergo small changes in flexibility (stiffness) and tip mass. The study of this prob...

The current article focuses on studying the behavior of a ring $\Re /\Pi$ when ℜ admits generalized derivations $\Psi$ and $\Omega$ with associated derivations $\varphi$ and $\delta$, respectively. These derivations satisfy specific differential iden...

In this study, we establish some properties of Bronze Fibonacci and Bronze Lucas sequences. Then we find the relationships between the roots of the characteristic equation of these sequences with these sequences. What is interesting here is that even...

For every $\mathbb{n}\ge 1$, generic models of $\mathbf{ZFC}$ will be presented for either of the following two sentences: 1. There exists a linear ${\Sigma }_{\mathbb{n}+2}^1$ set not equal to the projection of any uniform planar ${\mathbf{\Pi }}_{\mathbb{n}+2}^1$ set. 2. There exists a linear ${\Delta }_{\mathbb{n}+2}^1$ set not...

This paper presents a comprehensive characterization of finite local rings of length 4 and with residue field ${\mathbb{F}}_{p^m},$ where p is a prime number. Such rings have an order of $p^{4m}$ elements. The current paper provides the structure and classification, up to...

A.S. Fokas has obtained integrable nonlinear partial differential equations (PDEs) in 4 + 2 dimensions by complexifying the independent variables. In this work, the complexification of the independent variables of the 2 + 1-dimensional Caudrey–...

Let G be a graph and $S\subseteq V\left(G\right).$ If S is a dominating set of G, and for each vertex $u\in V\left(G\right)-S,$ there is a neighbor of u in $S,$ denoted by $v,$ such that $(S\setminus \{v\left\}\right)\cup \left\{u\right\}$ is a dominating set of $G,$ then S is a secure dominating set (SDS) o...

The work examines a seven-parameter, three-dimensional, autonomous, cubic nonlinear differential system. This system extends and generalizes the previously studied quadratic nonlinear Hopf–Langford-type systems. First, by introducing cylindrica...

In the realm of dynamical systems described by deterministic differential equations used in biomathematical modeling, two types of random events influence the populations involved in the model: the first one is called environmental noise, due to fact...

In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) $W(\Gamma )$. Additionally, we prove that all LB structures on $W(\Gamma )$ possess a triangular coboundary. We also quantize $W($...

This work aims to provide generalized Wintgen inequalities for slant submanifolds embedded in quaternionic space forms, taking into consideration both semi-symmetric metric and semi-symmetric non-metric connections. Moreover, we discuss the same ineq...

A graph, $G=(V,E)$, is edge odd graceful if it possesses edge odd graceful labeling. This labeling is defined as a bijection $g:E\left(G\right)\to \{1,3,\dots ,2m-1\}$, from which an injective transformation is derived, $g^{*}:V\left(G\right)\to \{1,2,3,\dots ,2m\&minus$...

This study addresses the diffusion of oxygen in a spherical geometry with simultaneous absorption at a constant rate. The analytical method assumes a polynomial representation of the oxygen concentration profile, leading to a system of differential e...

A two-dimensional periodic Stokes flow of viscous incompressible fluid in a rectangular cavity with constant velocities applied to the top and bottom walls is considered. The study of advection regimes is reduced to the sequential solving of two prob...

This paper presents an innovative approach to modelling the fiber optic fusion effect using the Network Simulation Method (NSM). An analogy between the heat conduction equations and electrical circuits is developed, allowing a complex physical proble...

This paper deals with the fixed-point findings under relational strict almost $(\varphi ,\psi )$-contraction. Our findings complement and strengthen prevailing results. In the course of the procedure, we also derive a related fixed point theorem for stri...