• 호남수학학술지
• /
• 제41권2호
• /
• pp.381-390
• /
• 2019

In this paper, we introduce interesting subclasses ${\mathcal{H}}^{p,q,{\beta},{\alpha}}_{{\sigma}B}$ and ${\mathcal{H}}^{p,q,{\beta}}_{{\sigma}B}({\gamma})$ of bi-univalent functions by (p, q)-derivative operator. Furthermore, we find upper bounds for the second and third coefficients for functions in these subclasses. The results presented in this paper would generalize and improve some recent works of several earlier authors.

• Kyungpook Mathematical Journal
• /
• 제61권1호
• /
• pp.205-212
• /
• 2021

We show that the forbidden detour move, essentially introduced by Kanenobu and Nelson, is an unknotting operation for virtual knots. Then we define the forbidden detour number of a virtual knot to be the minimal number of forbidden detour moves necessary to transform a diagram of the virtual knot into the trivial knot diagram. Some upper and lower bounds on the forbidden detour number are given in terms of the minimal number of real crossings or the coefficients of the affine index polynomial of the virtual knot.

• Korean Journal of Mathematics
• /
• 제30권3호
• /
• pp.503-512
• /
• 2022

In this paper, we are concerned with the problem of locating the zeros of regular polynomials of a quaternionic variable with quaternionic coefficients. We derive new bounds of Eneström-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our results generalize some recently proved results about the distribution of zeros of a quaternionic polynomial.

• Korean Journal of Mathematics
• /
• 제30권1호
• /
• pp.73-80
• /
• 2022

In this article, we represent and examine a new subclass of holomorphic and bi-univalent functions defined in the open unit disk 𝖀, which is associated with the Dziok-Srivastava operator. Additionally, we get upper bound estimates on the Taylor-Maclaurin coefficients |a₂| and |a₃| of functions in the new class and improve some recent studies.

• 충청수학회지
• /
• 제31권3호
• /
• pp.287-308
• /
• 2018

This paper deals with blow-up phenomena for an initial boundary value problem of a quasilinear parabolic equation with time-dependent coefficient in a bounded star-shaped region under nonlinear boundary flux. Using the auxiliary function method and differential inequality technique, we establish some conditions on time-dependent coefficient and nonlinear functions for which the solution u(x, t) exists globally or blows up at some finite time $t^*$. Moreover, some upper and lower bounds for $t^*$ are derived in higher dimensional spaces. Some examples are presented to illustrate applications of our results.

• Kyungpook Mathematical Journal
• /
• 제45권1호
• /
• pp.105-114
• /
• 2005

In this paper we investigate the growth of finite order solutions of the differential equation $f^{(k)}\;+\;A_{k-1}(Z)f^{(k-l)}\;+\;{\cdots}\;+\;A_1(z)f^{\prime}\;+\;A_0(z)f\;=\;F(z)$, where $A_0(z),\;{\cdots}\;,\;A_{k-1}(Z)\;and\;F(z)\;{\neq}\;0$ are entire functions. We find conditions on the coefficients which will guarantees the existence of an asymptotic value for a transcendental entire solution of finite order and its derivatives. We also estimate the lower bounds of order of solutions if one of the coefficient is dominant in the sense that has larger order than any other coefficients.

• Nonlinear Functional Analysis and Applications
• /
• 제27권2호
• /
• pp.331-347
• /
• 2022

In this paper, we introduce new subclasses of analytic and bi-univalent functions associated with the Mittag-Leffler-type Borel distribution by using the Legendre polynomials. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients |a₂| and |a₃| for functions in these subclasses and obtain Fekete-Szegő problem for these subclasses. We also state certain new subclasses of Σ and initial coefficient estimates and Fekete-Szegő inequalities.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제31권1호
• /
• pp.49-56
• /
• 2024

For a Polynomial P(z) = Σⁿ_j=0 a_jz^j with a_j ≥ a_j-1, a₀ > 0 (j = 1, 2, ..., n), a classical result of Enestrom-Kakeya says that all the zeros of P(z) lie in |z| ≤ 1. This result was generalized by A. Joyal et al. [3] where they relaxed the non-negative condition on the coefficents. This result was further generalized by Dewan and Bidkham [9] by relaxing the monotonicity of the coefficients. In this paper, we use some techniques to obtain some more generalizations of the results [3], [8], [9].

• 제어로봇시스템학회논문지
• /
• 제15권1호
• /
• pp.99-104
• /
• 2009

This article describes the analysis of stable grasping for multi-fingered robot. An analysis method of stable grasping, which is based on the three-dimensional acceleration convex polytope, is proposed. This method is derived from combining dynamic equations governing object motion and robot motion, force relationship and acceleration relationship between robot fingers and object's gravity center through contact condition, and constraint equations for satisfying no-slip conditions at every contact points. After mapping no-slip condition to torque space, we derived intersected region of given torque bounds and the mapped region in torque space so that the intersected region in torque space guarantees no excessive torque as well as no-slip at the contact points. The intersected region in torque space is mapped to an acceleration convex polytope corresponding to the maximum acceleration boundaries which can be exerted by the robot fingers under the given individual bounds of each joints torque and without causing slip at the contacts. As will be shown through the analysis and examples, the stable grasping depends on the joint driving torque limits, the posture and the mass of robot fingers, the configuration and the mass of an object, the grasp position, the friction coefficients between the object surface and finger end-effectors.

• 국제지역연구
• /
• 제15권1호
• /
• pp.219-240
• /
• 2011

본 연구는 주가 및 부동산가격 변화에 의한 화폐수요함수의 자산효과를 분석하였다. 부동산가격 자료의 획득이 가능한 10개국, 25개 통화단위를 대상으로 분석하였으며, Johansen 공적분 검정에 추가하여 Pesaran, Shin and Smith의 한계검정을 적용하였다. 또한, 효율적인 공적분벡터의 추정을 위하여 Stock and Watson의 DOLS를 적용하였다. 분석결과, 화폐수요함수에 주가와 부동산가격을 포함시킬 경우 장기균형관계의 성립 가능성이 월등히 증가하였다. 특히 ARDL-한계검정에 의하면 12개 통화단위는 자산 가격을 포함하는 경우에만 공적분관계가 존재하는 것으로 나타났다. 이러한 결과들은 자산가격의 변화가 장기화폐수요에 매우 유의한 영향을 준다는 의미이다. DOLS에 의한 공적분 벡터의 추정결과에서도 주가와 부동산가격이 매우 유의한 영향을 주는 것으로 나타났다. 주가는 12개 통화단위에서 통계적으로 유의한 영향을 미치는 반면 부동산가격은 19개 통화단위에서 통계적으로 유의하였다. 특히 부동산가격은 싱가포르 M1을 제외하고 나머지 모든 국가의 통화단위에서 통계적으로 유의하게 나타나 장기 화폐수요함수 추정에서 부동산시장의 중요성이 부각된다. 한편 주가와 부동산가격의 계수부호나 크기는 국가별로, 통화단위별로 상이하게 나타났다.