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Axioms, Volume 12, Issue 1

January 2023 - 95 articles

Cover Story: The relative percentage error for the amplitude at infinity for anharmonic partition integral is shown dependent on the approximation number for the modified-odd and modified-even Pad’e approximants. The error for the modified-odd Pad’e approximants is shown with disks. The error for modified-even Pad’e summation is shown with squares. The latter approximants demonstrate striking quasi-periodic performance with error possessing minima at some quasi-periodic intervals, in contrast with a monotonous improvement in the former case. Already, the first minimum gives the best result, implying that the higher-order coefficients are somewhat redundant. The performance of odd and even approximants can be very different, and modified-even approximants can outperform the odd. View this paper
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Articles (95)

  • Article
  • Open Access
7 Citations
2,731 Views
15 Pages

A Fractional-Order Improved Quantum Logistic Map: Chaos, 0-1 Testing, Complexity, and Control

  • Birong Xu,
  • Ximei Ye,
  • Guangyi Wang,
  • Zhongxian Huang and
  • Changwu Zhang

16 January 2023

Based on a quantum logistic map and a Caputo-like delta difference operator, a fractional-order improved quantum logistic map, which has hidden attractors, was constructed. Its dynamical behaviors are investigated by employing phase portraits, bifurc...

  • Article
  • Open Access
18 Citations
3,291 Views
13 Pages

16 January 2023

This paper provides an investigation on nonlinear dynamic behaviors of the (3+1)-dimensional B-type Kadomtsev—Petviashvili equation, which is used to model the propagation of weakly dispersive waves in a fluid. With the help of the Cole—H...

  • Article
  • Open Access
1,749 Views
8 Pages

On the Strong Starlikeness of the Bernardi Transform

  • Zahra Orouji,
  • Ali Ebadian and
  • Nak Eun Cho

16 January 2023

Many papers concern both the starlikeness and the convexity of Bernardi integral operator. Using the Nunokawa’s Lemma, we want to determine conditions for the strong starlikeness of the Bernardi transform of normalized analytic functions g, suc...

  • Article
  • Open Access
2,504 Views
15 Pages

16 January 2023

Stress is the body’s response to something that requires action or attention. In general, anything that poses a real challenge or threat to a person’s well-being can cause stress. Stress can slow down a person’s well-being activitie...

  • Article
  • Open Access
1 Citations
2,189 Views
11 Pages

15 January 2023

We describe an explicitly non-contextual statistical model of hidden variables for the qutrit, which fully reproduces the predictions of quantum mechanics, and thus, bypasses the constraints imposed by the Kochen–Specker theorem and its subsequ...

  • Article
  • Open Access
3 Citations
1,691 Views
27 Pages

15 January 2023

Measures generating classical orthogonal polynomials are determined by Pearson’s equation, whose parameters usually provide the positivity of the measures. The case of general complex parameters (nonstandard) is also of interest; the non-Hermit...

  • Article
  • Open Access
1,827 Views
9 Pages

14 January 2023

We analyze the asymptotic behavior of infinite products of non-linear operators which take a non-empty, closed subset of a complete metric space into the space, taking into account summable computational errors. Our results can be applied in methods...

  • Article
  • Open Access
3 Citations
2,055 Views
16 Pages

Centrally Extended Jordan (∗)-Derivations Centralizing Symmetric or Skew Elements

  • Amal S. Alali,
  • Hafedh M. Alnoghashi and
  • Nadeem ur Rehman

14 January 2023

Let A be a non-commutative prime ring with involution ∗, of characteristic ≠2(and3), with Z as the center of A and Π a mapping Π:A→A such that [Π(x),x]∈Z for all (skew) symmetric elements x∈A. If Π is a non-zero C...

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Axioms - ISSN 2075-1680