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Axioms, Volume 11, Issue 10

October 2022 - 90 articles

Cover Story: This article contributes to approximation theory based on Fm-transforms and numerical methods of integration. We give descriptions of integration points and weights for N-point (N ≤ 4) Gaussian quadrature rules with an arbitrary positive weight function and obtain exact expressions for integrals of (weighted) polynomials up to the degree of 7. Then, direct analytic expressions with only arithmetic operations are proposed for the inverse Fm-transforms, m ≤ 3. This significantly reduces the computational complexity of this method by eliminating numerical integration. Moreover, we proved that low-degree polynomials combined with a dense fuzzy partition provide comparable quality and lower computational complexity compared to high-degree polynomial approximations over the entire domain. View this paper
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Articles (90)

  • Article
  • Open Access
7 Citations
2,898 Views
24 Pages

A Computational Approach to a Model for HIV and the Immune System Interaction

  • Attaullah,
  • Zeeshan,
  • Muhammad Tufail Khan,
  • Sultan Alyobi,
  • Mansour F. Yassen and
  • Din Prathumwan

21 October 2022

This study deals with the numerical solution of the human immunodeficiency virus (HIV) infection model, which is a significant problem for global public health. Acquired immunodeficiency syndrome (AIDS) is a communicable disease, and HIV is the causa...

  • Article
  • Open Access
4 Citations
2,135 Views
8 Pages

21 October 2022

In this paper, a predator–prey model with fear effect and dispersal is proposed. Assume that only the prey migrates at a constant rate between patches and the migration of prey on each patch is faster than the time scale of local predator&ndash...

  • Article
  • Open Access
4 Citations
2,047 Views
11 Pages

Extended Gevrey Regularity via Weight Matrices

  • Nenad Teofanov and
  • Filip Tomić

21 October 2022

The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces Gt(U) and the space of smooth functions C∞(U). The first approach in the style of Komatsu is based on the propert...

  • Article
  • Open Access
4 Citations
2,424 Views
19 Pages

20 October 2022

In this work, a Lotka–Volterra type predator–prey system with time delay and stage structure for the predators is proposed and analyzed. By using the permanence theory for infinite dimensional system, we get that the system is permanent i...

  • Article
  • Open Access
25 Citations
3,347 Views
15 Pages

A Reliable Technique for Solving Fractional Partial Differential Equation

  • Azzh Saad Alshehry,
  • Rasool Shah,
  • Nehad Ali Shah and
  • Ioannis Dassios

20 October 2022

The development of numeric-analytic solutions and the construction of fractional-order mathematical models for practical issues are of the greatest importance in a variety of applied mathematics, physics, and engineering problems. The Laplace residua...

  • Article
  • Open Access
12 Citations
2,231 Views
17 Pages

20 October 2022

In this manuscript, we defined (α, F)-contractions in the context of double-controlled metric spaces and partially ordered double-controlled metric spaces. We established new fixed-point results and defined the notion of double-controlled metri...

  • Article
  • Open Access
19 Citations
3,170 Views
19 Pages

A Novel Approach in Solving Improper Integrals

  • Mohammad Abu-Ghuwaleh,
  • Rania Saadeh and
  • Ahmad Qazza

20 October 2022

To resolve several challenging applications in many scientific domains, general formulas of improper integrals are provided and established for use in this article. The suggested theorems can be considered generators for new improper integrals with p...

  • Article
  • Open Access
3 Citations
2,870 Views
13 Pages

Simulation of Marine Debris Path Using Mathematical Model in the Gulf of Thailand

  • Jettapol Phiphit,
  • Angkool Wangwongchai and
  • Usa Wannasingha Humphries

20 October 2022

Marine debris is an important environmental problem that affects aquatic animals, ecosystems, economy, society, and humans. This research aims to simulate the path of marine debris in the Gulf of Thailand using a mathematical model that includes two...

  • Article
  • Open Access
5 Citations
1,991 Views
12 Pages

20 October 2022

Throughout this study, the concept of symmetrized harmonically convex stochastic processes will be discussed in further detail. Some certain characterizations for symmetrized harmonically convex stochastic processes are discussed that use Hermite&nda...

  • Article
  • Open Access
2 Citations
2,275 Views
17 Pages

19 October 2022

This paper presents an illustration of how knowledge from the field of special functions, orthogonal polynomials and numerical series can be applied to solve a very important problem in the field of modern wireless communications. We present the form...

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Axioms - ISSN 2075-1680