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Axioms, Volume 11, Issue 2

February 2022 - 48 articles

Cover Story: Fibonacci-like polynomials, the roots of which are responsible for a cyclic behavior of orbits of a second-order two-parametric difference equation, are considered. Using Maple and Wolfram Alpha, the location of the largest and the smallest roots responsible for the cycles of period p among the roots responsible for the cycles of periods 2kp (period-doubling) and kp (period-multiplying) has been determined. These purely computational results of experimental mathematics, made possible by the use of modern digital tools, can be used as a motivation for confirmation through not-yet-developed methods of formal mathematics. View this paper
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Articles (48)

  • Article
  • Open Access
5 Citations
2,188 Views
10 Pages

Generalized k-Fractional Chebyshev-Type Inequalities via Mittag-Leffler Functions

  • Zhiqiang Zhang,
  • Ghulam Farid,
  • Sajid Mehmood,
  • Chahn-Yong Jung and
  • Tao Yan

21 February 2022

Mathematical inequalities have gained importance and popularity due to the application of integral operators of different types. The present paper aims to give Chebyshev-type inequalities for generalized k-integral operators involving the Mittag-Leff...

  • Article
  • Open Access
8 Citations
3,275 Views
21 Pages

20 February 2022

The complexity of earthquakes and the nonlinearity of structures tend to increase the calculation cost of reliability-based design optimization (RBDO). To reduce computational burden and to effectively consider the uncertainties of ground motions and...

  • Article
  • Open Access
3 Citations
2,090 Views
8 Pages

Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio Approach

  • Asha B. Nale,
  • Vaijanath L. Chinchane,
  • Satish K. Panchal and
  • Christophe Chesneau

17 February 2022

In this article, we establish some of the Pólya–Szegö and Minkowsky-type fractional integral inequalities by considering the Caputo–Fabrizio fractional integral. Moreover, we give some special cases of Pólya–Szeg&...

  • Article
  • Open Access
1 Citations
2,994 Views
18 Pages

On Cohomology of Simple Modules for Modular Classical Lie Algebras

  • Sherali S. Ibraev,
  • Larissa S. Kainbaeva and
  • Saulesh K. Menlikozhaeva

16 February 2022

In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules. We assume that these classical Lie algebras are Lie al...

  • Article
  • Open Access
6 Citations
3,046 Views
9 Pages

Some New Results for a Class of Multivalued Interpolative Kannan-Type Contractions

  • Nabanita Konwar,
  • Rekha Srivastava,
  • Pradip Debnath and
  • Hari Mohan Srivastava

15 February 2022

In this paper, we introduce the notion of multivalued interpolative Kannan-type contractions. We also introduce a more general version of this notion by relaxing the degrees of freedom of the powers arising in the contractive condition. Gaba et al. (...

  • Article
  • Open Access
3 Citations
2,958 Views
10 Pages

15 February 2022

The division operation for type-1 fuzzy numbers in its original form is not invertible for the multiplication operation. This is an essential drawback in some applications. To eliminate this drawback several approaches are proposed: the generalized H...

  • Article
  • Open Access
3 Citations
2,959 Views
15 Pages

g-Expectation for Conformable Backward Stochastic Differential Equations

  • Mei Luo,
  • Michal Fečkan,
  • Jin-Rong Wang and
  • Donal O’Regan

14 February 2022

In this paper, we study the applications of conformable backward stochastic differential equations driven by Brownian motion and compensated random measure in nonlinear expectation. From the comparison theorem, we introduce the concept of g-expectati...

  • Article
  • Open Access
5 Citations
3,596 Views
21 Pages

Analyzing the Main Determinants for Being an Immigrant in Cuenca (Ecuador) Based on a Fuzzy Clustering Approach

  • Juan Carlos Martin,
  • Natalia Soledad Bustamante-Sánchez and
  • Alessandro Indelicato

14 February 2022

The study aims to analyze the determinants for being an immigrant in Cuenca (Ecuador). Our analysis is based on the answers given to a scale formed by 30 items included in a questionnaire administered to a representative sample of 369 immigrants. A f...

  • Feature Paper
  • Article
  • Open Access
2 Citations
2,415 Views
15 Pages

12 February 2022

The paper deals with multiplayer normal form games which are preceded by a ‘preplay negotiation phase’ consisting of exchange of preplay offers by players for payments of utility to other players conditional on them playing designated in the offers s...

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Axioms - ISSN 2075-1680