• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제16권2호
• /
• pp.125-135
• /
• 2012

The transient magnetohydrodynamic (MHD) generalized Couette flow with heat transfer through a porous medium of an electrically conducting, viscous, incompressible fluid bounded by two parallel insulating porous plates is studied in the presence of uniform suction and injection and a heat source considering the Hall effect. A uniform and constant pressure gradient is imposed in the axial direction and an externally applied uniform magnetic field as well as a uniform suction and injection are applied in the direction perpendicular to the plates. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the Hall current, the porosity of the medium and the uniform suction and injection on both the velocity and temperature distributions is investigated.

• 한국수학사학회지
• /
• 제33권5호
• /
• pp.289-299
• /
• 2020

In this paper, we investigate the causes and the characteristics of transformations of mathematics education in modern China, focusing on the contents of mathematics education in the Ming and Qing dynasties. In this process, mathematics education was investigated from the overall educational view of each dynasty, so the educational situation of each dynasty was also considered.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제31권1호
• /
• pp.103-117
• /
• 2024

In this article, we utilize the concepts of hybrid rational Geraghty type generalized F-contraction and to prove some fixed point results for such mappings are in the perspective of partially ordered b-metric like space. Some innovative examples are also presented which substantiate the validity of obtained results. The example is also authenticated with the help of graphical representations.

• 대한수학회보
• /
• 제40권3호
• /
• pp.351-363
• /
• 2003

In the present paper, some general convergence principles are established in metric spaces and then theses principles are applied to the convergence of the iterative sequences for approximating fixed points of certain classes of mappings. By virtue of our principles, most of the latest results obtained by several authors can be deduced easily.

• Journal of applied mathematics & informatics
• /
• 제26권1_2호
• /
• pp.191-201
• /
• 2008

In this paper, we consider an insurance risk model governed by a compound Binomial arrival claim process and by a compound Binomial arrival premium process. Some formulas for the probabilities of ruin and the distribution of ruin time are given, we also prove the integral equation of the ultimate ruin probability and obtain the Lundberg inequality by the discrete martingale approach.

• Journal of applied mathematics & informatics
• /
• 제27권1_2호
• /
• pp.195-203
• /
• 2009

In this paper, a necessary and sufficient condition for lattice sampling theorem to hold for frame in subspaces of $L^2$(R) is established. In addition, we obtain the formula of lattice sampling function in frequency space. Furthermore, by discussing the parameters in Theorem 3.1, some corresponding corollaries are derived.

• Kyungpook Mathematical Journal
• /
• 제49권3호
• /
• pp.545-555
• /
• 2009

In this paper, we investigate a generalized family of complex-valued harmonic functions that are multivalent, sense-preserving, and are associated with k-uniformly harmonic functions in the unit disk. The results obtained here include a number of known and new results as their special cases.

• 대한수학회지
• /
• 제45권3호
• /
• pp.611-620
• /
• 2008

The purpose of this present paper is to derive some subordination and superordination results involving Carlson-Shaffer operator for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

• 호남수학학술지
• /
• 제33권2호
• /
• pp.187-206
• /
• 2011

The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas transform formulas, recurrence relations, summation formula for these new generalization.

• Journal of applied mathematics & informatics
• /
• 제38권3_4호
• /
• pp.201-209
• /
• 2020

We introduce and study some basic properties of rough I-convergent of triple sequence spaces and also study the set of all rough I-limits of a triple sequence spaces.