• Journal of applied mathematics & informatics
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• 제4권1호
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• pp.39-46
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• 1997

Given to be the $m^{th}$ correlation coefficient of the Rudin-Shapiro polynomials of degrees $2^n-1$, $$\mid$a_m$\mid$ \leq C(2^n)^{\frac{3}{4}}$ and there exists $\kappa \neq 0$ such that $$\mid$a_{\kappa}$\mid$ ＞D(2^n)^{0.73}$ (C and D are universal constants). Here we show that the 0.73 is optimal in the upper vound case.

• Kyungpook Mathematical Journal
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• 제55권2호
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• pp.383-394
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• 2015

In this paper, we define two new subclass of k-uniformly starlike and convex functions of order ${\alpha}$ type ${\beta}$ with varying argument of coefficients. Further, we obtain coefficient estimates, extreme points, growth and distortion bounds, radii of starlikeness, convexity and results on modified Hadamard products.

• 호남수학학술지
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• 제40권3호
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• pp.391-400
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• 2018

The object of this paper to construct a new class $$A^m_{{\mu},{\lambda},{\delta}}({\alpha},{\beta},{\gamma},t,{\Psi})$$ of bi-univalent functions of complex order defined in the open unit disc. The second and the third coefficients of the Taylor-Maclaurin series for functions in the new subclass are determined. Several special consequences of the results are also indicated.

• Kyungpook Mathematical Journal
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• 제53권3호
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• pp.467-478
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• 2013

The purpose of the present paper is to establish some interesting results involving coefficient conditions, extreme points, distortion bounds and covering theorems for the classes $V_H({\beta})$ and $U_H({\beta})$. Further, various inclusion relations are also obtained for these classes. We also discuss a class preserving integral operator and show that these classes are closed under convolution and convex combinations.

• 호남수학학술지
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• 제40권4호
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• pp.611-619
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• 2018

In this paper, we obtain initial coefficient bounds for an unified subclass of analytic functions by using the Chebyshev polynomials. Furthermore, we find the Fekete-$Szeg{\ddot{o}}$ result for this class. All results are sharp. Consequences of the results are also discussed.

• 호남수학학술지
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• 제45권1호
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• pp.92-108
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• 2023

We determine the upper bounds on fourth order Hankel determinants H⁽²⁾₄(f) and H⁽³⁾₄(f) for the class S^*_L of lemniscate starlike functions defined on the open unit disk which was introduced by Sokół and Stankiewicz in [17].

• 대한기계학회:학술대회논문집
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• 대한기계학회 2004년도 춘계학술대회
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• pp.1237-1242
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• 2004

In this study, single-phase heat transfer experiments were conducted with oil cooler with offset strip fin using water. An experimental water loop has been developed to measure the single-phase heat transfer coefficient in a vertical oil cooler. Downflow of hot water in one channel receives heal from the cold water upflow of water in the other channel. Similar to the case of a plate heat exchanger, even at a very low Reynolds number, the flow in the on cooler with offset strip fin remains turbulent. The present data show that the heat transfer coefficient increases with the Reynolds number. Based. On the present data, empirical correlation of the heat transfer coefficient was proposed. Also, performance prediction analysis for oil cooler were executed and compared with experiments. ${\varepsilon}-NTU$ method was used in this prediction program. Independent variables are flow rates and inlet temperature. Compared with experimental data, the accuracy of the program is within the error bounds of ${\pm}5$% in the heat transfer rate.

• 국제지역연구
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• 제15권1호
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• pp.219-240
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• 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.

• 충청수학회지
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• 제31권3호
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• pp.287-308
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• 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
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• 제58권4호
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• pp.677-688
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• 2018

In this paper, we introduce and investigate a new subclass of bi-univalent functions defined by $S{\breve{a}}l{\breve{a}}gean$ q-calculus operator in the open disk ${\mathbb{U}}$. For functions belonging to the subclass, we obtain estimates on the first two Taylor-Maclaurin coefficients ${\mid}a_2{\mid}$ and ${\mid}a_3{\mid}$. Some consequences of the main results are also observed.