Korean Journal of Mathematics

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The Korean Journal of Mathematics

Articles in this Journal

Semilocal Convergence Analysis of the third order Newton-like method in Riemannian manifolds

In this paper, we present the semilocal convergence analysis of the third order Newton-like method in Riemannian manifolds. We study the convergence analysis of our method under Lipschitz continuity condition on the first order covariant derivative o...

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Estimates for a subclass of starlike functions involving a exponential function

In this paper, a new class of analytic function is defined by using an analytic characterization which is influenced by the multiplicative derivative. Multiplicative derivative is defined in a domain which excludes zero, so here the defined subclass...

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On Some Turan-type Inequalities for Derivative of a Polynomial

If $P(z) = a_{n}\prod_{\nu=1}^{n} (z - z _{\nu} )$ is a complex polynomial of degree $n$ having all its zeros in $|z| \leq K,$ $K \geq 1$ then Aziz (Proc Am Math Soc 89:259-266, 1983) proved that \begin{align*} \max_{|z|=1} |P'(z)| \geq \frac{2}{1+K^...

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Erratum to "Common fixed point theorem for three mappings in generalized modular metric spaces" Korean J. Math. Vol. 32 No. 1 (2024) pp.15--25

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A Hopf bifurcation of multidimensional attraction-repulsion chemotaxis system with nonlinear sensitive functions

This paper is concerned with a multi-dimensional attraction-repulsion chemotaxis system with nonlinear sensitive functions. A corresponding free boundary problem is derived, and proved the existence of stationary solutions and Hopf bifurcation which...

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Some lower bound estimates for the generalized derivative of a polynomial

If $P(z)$ is a polynomial of degree $n$ having all its zeros in $\left|z\right|\leq k, k\leq 1$, then Rather et al. ( Some inequalities for polynomials with restricted zeros, Ann. Univ. Ferrara, 67 (2021), 183-189.) proved that for all $z$ on $\left|...

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On the weak global dimension of a subclass of Pr\"ufer non-coherent rings

It is known that if $R$ is a coherent Pr\"ufer ring, which is necessarily a Gaussian ring, then its weak global dimension w.gl.dim($R$) must be $0$, $1$, or $\infty$. In this paper, we investigate the possible values of the weak global dimension for...

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Iterated weighted projective space fibrations and toric orbifolds

We generalize classical generalized Bott towers to orbifolds using weighted projectivizations of line bundles, which we call \emph{weighted projective towers}. From the perspective of toric topology, such a space can be constructed from a product of...

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Hyers-Ulam stability of fuzzy Hilbert $C^{}$-module homomorphisms and fuzzy Hilbert $C^{}$-module derivations

In the present paper, we introduce the notion of a fuzzy Hilbert $C^*$-module and study the Hyers-Ulam stability of fuzzy Hilbert $C^{*}$-module homomorphisms and fuzzy Hilbert $C^{*}$-module derivations in fuzzy Hilbert $C^*$-modules using the fixed...

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Generalized Lukasiewicz fuzzy subalgebras of BCI-algebras and BCK-algebras

The aim of this paper is to generalize Lukasiewicz fuzzy subalgebras in BCK/BCI-algebras. First, the concept of (α,ϵ)-Lukasiewicz fuzzy subalgebras using fuzzy points is defined and examples to explain it are given, and then several properties are in...

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Bi-Bazilevic functions based on Hurwitz-Lerch Zeta function associated with exponential Pareto distribution

In this paper, we introduce and investigate new subclass of bi-univalent functions defined in the open unit disk, which are based on Hurwitz-Lerch Zeta function associated with exponential Pareto distribution , satisfying subordinate conditions. Furt...