Kyungpook Mathematical Journal

Article

31 December 2024

Twisting Some Classes of Links

Ahmad Al-Rhayyel and Khaled Qazaqzeh∗

Kyungpook Mathematical Journal 2024; 64: 519-530

We apply the twisting technique that was first introduced in [1] and later generalized in [8] to obtain an infinite family of adequate, homogeneous or alternative links from a given adequate, homogeneous or alternative link, respectively. Thus we con...

Key Words:

Adequate links, homogeneous links, alternative links, twisting

Article

31 December 2024

On Estimates for Fractional Tsallis Relative Operator Entropy

Behare Hosseini and Azizollah Babakhani∗, Ismail Nikoufar

Kyungpook Mathematical Journal 2024; 64: 531-547

this paper, we us the Hermite-Hadamard inequality and the Riemann-Liouville fractional integral operator to obtain an inequality to generalize that generalize known results on the Tsallis relative operator entropy; the elementary convex power functio...

Key Words:

Fractional integral, Relative operator entropy, Tsallis relative operator entropy, Hermite-Hadamard’s inequality

Article

31 December 2024

On Two Kinds of Clasp-Pass Moves for Knots

Hideo Takioka

Kyungpook Mathematical Journal 2024; 64: 549-557

We introduce two kinds of clasp-pass moves for knots called self, nonself-clasppass moves (SCP, NCP-moves) related to self, nonself-crossings. Moreover, we introduce another two kinds of clasp-pass moves for knots called clasp-pass moves of types II,...

Key Words:

Clasp-pass move, Γ-polynomial

Article

31 December 2024

Synchronization Estimate of the Discrete Kuramoto Model with Multiplicative Random Noise

Woojoo Shim

Kyungpook Mathematical Journal 2024; 64: 559-578

We study the onset of synchronization in the time-discretization of the Kuramoto model with multiplicative noise. Specifically, we present a sufficient condition that ensures that, starting from generic initial data, identical oscillators in the disc...

Key Words:

Kuramoto model, order parameter, synchronization, Euler- Maruyama method

Article

31 December 2024

Projective Changes Between the Polynomial (α, β)-metric and the Generalized Kropina Metric

Ramdayal Singh Kushwaha∗ and Renu

Kyungpook Mathematical Journal 2024; 64: 579-590

In this paper, we look at the projective relativity of (α, β)-metrics. Let α and α¯

Key Words:

Finsler metric, (α, β)-metric, Projective change, Douglas metric and S-curvature

Article

31 December 2024

Investigation of Toeplitz Determinants in Ma-Minda Classes of Starlike and Convex Functions using q-Calculus

Pradeep Kumar and Amit Soni∗

Kyungpook Mathematical Journal 2024; 64: 591-606

This research paper focuses on obtaining sharp bounds for Toeplitz determinants whose entries are the coefficients of starlike functions satisfying specific conditions. The conditions are related to the quantity

Key Words:

Univalent functions, Subordination, Toeplitz determinants, Fekete-Szegȍ inequality, q-Calculus

Article

31 December 2024

Uniformly S-Projective Modules and Uniformly S-Projective Uniformly S-Covers

Hwankoo Kim*, Najib Mahdou, El Houssaine Oubouhou et al.

Kyungpook Mathematical Journal 2024; 64: 607-618

Recently, Zhang and Qi introduced and studied the concept of uniformly S-projective (u-S-projective) modules, where S represents a multiplicative subset of a ring. In this paper, we first derive a u-S version of the well-k...

Key Words:

u-S-exact sequence, u-S-isomorphism, u-S-projective module