Axioms, Volume 11, Issue 1

Brain tumors are most common in children and the elderly. It is a serious form of cancer caused by uncontrollable brain cell growth inside the skull. Tumor cells are notoriously difficult to classify due to their heterogeneity. Convolutional neural n...

Let G be a graph with a minimum degree $\delta$ of at least two. The inclusion chromatic index of G, denoted by ${\chi }_{\subset }^{\prime }\left(G\right)$, is the minimum number of colors needed to properly color the edges of G so that the set of colors incident with any v...

In the homotopy theory of spaces, the image of a continuous map is contractible to a point in its cofiber. This property does not apply when we discretize spaces and continuous maps to directed graphs and their morphisms. In this paper, we give a con...

The present paper is devoted to the properties of entire vector-valued functions of bounded L-index in join variables, where $\mathbf{L}:{\mathbb{C}}^n\to {\mathbb{R}}_{+}^n$ is a positive continuous function. For vector-valued functions from this class we prove some propositions descr...

Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields. The purpose of this work is to provide a unified family of Legendre-based generalized Ap...

We establish some properties of the bilateral Riemann–Liouville fractional derivative $D^s$. We set the notation, and study the associated Sobolev spaces of fractional order s, denoted by $W^{s,1}(a,b)$, and the fractional bounded variation spaces of f...

A numerical scheme for nonlinear hyperbolic evolution equations is made based on the implicit Runge-Kutta method and the Fourier spectral method. The detailed discretization processes are discussed in the case of one-dimensional Klein-Gordon equation...

The research designs a new integrated system for the security enhancement of a decentralized network by preventing damages from attackers, particularly for the 51 percent attack. The concept of multiple layered design based on Blockchain Governance G...

We introduce the real minimal surfaces family by using the Weierstrass data $({\zeta }^{-m},{\zeta }^m)$ for $\zeta \in \mathbb{C}$, $m\in {\mathbb{Z}}_{\ge 2},$ then compute the irreducible algebraic surfaces of the surfaces family in three-dimensional Euclidean space ${\mathbb{E}}^3$. In...

First, semigroup structure is constructed by providing binary operations for the crossing cubic set structure. The concept of commutative crossing cubic ideal is introduced by applying crossing cubic set structure to commutative ideal in BCK-algebra,...

We study spectral properties of a wide class of differential operators with frozen arguments by putting them into a general framework of rank-one perturbation theory. In particular, we give a complete characterization of possible eigenvalues for thes...

The leapfrog schemes have been developed for unconditionally stable alternating-direction implicit (ADI) finite-difference time-domain (FDTD) method, and recently the complying-divergence implicit (CDI) FDTD method. In this paper, the formulations fr...

The geometric approach to generalized complex and three-dimensional hyper-complex numbers and more general algebraic structures being based upon a general vector space structure and a geometric multiplication rule which was only recently developed is...

We consider the problem of finding a (non-negative) measure $\mu$ on $\mathfrak{B}\left({\mathbb{C}}^n\right)$ such that ${\int }_{{\mathbb{C}}^n}{\mathbf{z}}^{\mathbf{k}}d\mu \left(\mathbf{z}\right)=s_{\mathbf{k}}$, $\forall \mathbf{k}\in \mathcal{K}$. Here, $\mathcal{K}$ is an arbitrary finite subset of ${\mathbb{Z}}_{+}^n$, which contains $(0,\dots ,0)$, and $s_{\mathbf{k}}$ are prescribed complex numbers (we use the...

The asymptotic behavior of resolvents of a proper convex lower semicontinuous function is studied in the various settings of spaces. In this paper, we consider the asymptotic behavior of the resolvents of a sequence of functions defined in a complete...

Analysis of power converter performance has tended to be engineering-oriented, focusing mainly on voltage stability, output power and efficiency improvement. However, there has been little discussion about the weight relations between these factors....

The objective of the research article is two-fold. Firstly, we present a fixed point result in the context of triple controlled metric type spaces with a distinctive contractive condition involving the controlled functions. Secondly, we consider an i...

In this paper, we develop some Hermite–Hadamard–Fejér type inequalities for n-times differentiable functions whose absolute values of $n$-th derivatives are $(\alpha ,m)$-convex function. The results obtained in this paper are extensio...

At present, association rules have been widely used in prediction, personalized recommendation, risk analysis and other fields. However, it has been pointed out that the traditional framework to evaluate association rules, based on Support and Confid...

Meningiomas are the most prevalent benign intracranial life-threatening brain tumors, with a life expectancy of a few months in the later stages, so this type of tumor in the brain image should be recognized and detected efficiently. The source of me...

In this article, we introduce the class of enriched Suzuki nonexpansive (ESN) mappings. We show that this new class of mappings properly contains the class of Suzuki nonexpansive as well as the class of enriched nonexpansive mappings. We establish ex...

Let $A,X,Y$ be Banach spaces and $A\times X\to Y$, $(a,x)\mapsto ax$ be a continuous bilinear function, called a Banach action. We say that this action preserves unconditional convergence if for every bounded sequence ${\left(a_n\right)}_{n\in \omega }$ in A and unconditi...

The aim of the paper is to introduce the Banach space consisting of real functions defined on a locally compact and countable at infinity metric space and having increments tempered by a modulus of continuity. We are going to provide a condition that...

A refined asymptotics of the Jacobi theta functions and their logarithmic derivatives have been received. The asymptotics of the Nevanlinna characteristics of the indicated functions and the arbitrary elliptic function have been found. The estimation...

Malaria is a deadly human disease that is still a major cause of casualties worldwide. In this work, we consider the fractional-order system of malaria pestilence. Further, the essential traits of the model are investigated carefully. To this end, th...

Scaling is one of the complex operations in the Residue Number System (RNS). This operation is necessary for RNS-based implementations of deep neural networks (DNNs) to prevent overflow. However, the state-of-the-art RNS scalers for special moduli se...

Ferrando and Lüdkovsky proved that for a non-empty set $\mathsf{\Omega }$ and a normed space X, the normed space $c_0(\mathsf{\Omega },X)$ is barrelled, ultrabornological, or unordered Baire-like if and only if X is, respectively, barrelled, ultrabornological, or unor...

In this paper, we consider generalized Laplacian problems with nonlocal boundary conditions and a singular weight, which may not be integrable. The existence of two positive solutions to the given problem for parameter $\lambda$ belonging to some open...

The article deals with interaction in concurrent systems. A calculus able to express specific communication patterns is defined, together with its abstract control structures. A hypergraph model for these structures is presented. The hypergraphs are...

In this paper, the author considers twisted q-analogues of Catalan-Daehee numbers and polynomials by using p-adic q-integral on ${\mathbb{Z}}_p$. We derive some explicit identities for those twisted numbers and polynomials related to various special numbers and po...

The classical graph entropy based on the vertex coloring proposed by Mowshowitz depends on a graph. In fact, a hypergraph, as a generalization of a graph, can express complex and high-order relations such that it is often used to model complex system...

We consider the Enneper family of real maximal surfaces via Weierstrass data $(1,{\zeta }^m)$ for $\zeta \in \mathbb{C}$, $m\in {\mathbb{Z}}_{\ge 1}$. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space ${\mathbb{E}}^{2,1}$. Moreover, we propose that the f...

This paper introduces some new concepts of rough approximations via five quantum implications satisfying Birkhoff–von Neumann condition. We first establish rough approximations via Sasaki implication and show the equivalence between distributiv...

In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the...