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한국수학교육학회> B-순수 및 응용수학

B-순수 및 응용수학 update

The Pure and Applied Mathematics

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수록범위 : 1권1호(1994)~28권4호(2021) |수록논문 수 : 726
B-순수 및 응용수학
28권4호(2021년 11월) 수록논문
최근 권호 논문
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1FUZZY COMPLETE LATTICES AND DISTANCE SPACES

저자 : Jung Mi Ko , Yong Chan Kim

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 4호 발행 연도 : 2021 페이지 : pp. 267-280 (14 pages)

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In this paper, we introduce the notions of fuzzy join (resp. meet) complete lattices and distance spaces in complete co-residuated lattices. Moreover, we investigate the relations between Alexandrov pretopologies (resp. precotopologies) and fuzzy join (resp. meet) complete lattices, respectively. We give their examples.

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2A REPRESENTATION FOR AN INVERSE GENERALIZED FOURIER-FEYNMAN TRANSFORM ASSOCIATED WITH GAUSSIAN PROCESS ON FUNCTION SPACE

저자 : Jae Gil Choi

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 4호 발행 연도 : 2021 페이지 : pp. 281-296 (16 pages)

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In this paper, we suggest a representation for an inverse transform of the generalized Fourier-Feynman transform on the function space Ca;b[0; T]. The function space Ca;b[0; T] is induced by the generalized Brownian motion process with mean function a(t) and variance function b(t). To do this, we study the generalized Fourier-Feynman transform associated with the Gaussian process Zk of exponential-type functionals. We then establish that a composition of the Zk-generalized Fourier-Feynman transforms acts like an inverse generalized Fourier-Feynman transform.

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3UTILIZING GENERALIZED MEIR-KEELER CONTRACTION IN PERIODIC BOUNDARY VALUE PROBLEMS

저자 : Amrish Handa

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 4호 발행 연도 : 2021 페이지 : pp. 297-314 (18 pages)

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This manuscript is divided into three segments. In the first segment, we formulate a unique common fixed point theorem satisfying generalized Meir-Keeler contraction on partially ordered metric spaces and also give an example to demonstrate the usability of our result. In the second segment of the article, some common coupled fixed point results are derived from our main results. In the last segment, we investigate the solution of some periodic boundary value problems. Our results generalize, extend and improve several well-known results of the existing literature.

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4FRAME OPERATORS AND SEMI-FRAME OPERATORS OF FINITE GABOR FRAMES

저자 : N. M. Madhavan Namboothiri , T. C. Easwaran Nambudiri , Jineesh Thomas

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 4호 발행 연도 : 2021 페이지 : pp. 315-328 (14 pages)

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A characterization of frame operators of finite Gabor frames is presented here. Regularity aspects of Gabor frames in l2(ZN) are discussed by introducing associated semi-frame operators. Gabor type frames in finite dimensional Hilbert spaces are also introduced and discussed.

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5EFFICIENT AND ACCURATE FINITE DIFFERENCE METHOD FOR THE FOUR UNDERLYING ASSET ELS

저자 : Hyeongseok Hwang , Yongho Choi , Soobin Kwak , Youngjin Hwang , Sangkwon Kim , Junseok Kim

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 4호 발행 연도 : 2021 페이지 : pp. 329-341 (13 pages)

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In this study, we consider an efficient and accurate finite difference method for the four underlying asset equity-linked securities (ELS). The numerical method is based on the operator splitting method with non-uniform grids for the underlying assets. Even though the numerical scheme is implicit, we solve the system of discrete equations in explicit manner using the Thomas algorithm for the tri-diagonal matrix resulting from the system of discrete equations. Therefore, we can use a relatively large time step and the computation of the ELS option pricing is fast. We perform characteristic computational test. The numerical test confirm the usefulness of the proposed method for pricing the four underlying asset equity-linked securities.

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6GENERALIZATION OF SOME INEQUALITIES TO THE CLASS OF GENERALIZED DERIVATIVE

저자 : Irfan Ahmad Wani , Mohammad Ibrahim Mir , Ishfaq Nazir

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 4호 발행 연도 : 2021 페이지 : pp. 343-353 (11 pages)

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In this paper, we obtain some inequalities concerning the class of generalized derivative and generalized polar derivative which are analogous respectively to the ordinary derivative and polar derivative of polynomials.

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In this paper we wish to establish the integral representations of generalized relative order (α, β) and generalized relative type (α, β) of entire and meromorphic functions where α and β are continuous non-negative functions defined on (-∞, +∞). We also investigate their equivalence relation under some certain condition.

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8EVALUATIONS OF THE ROGERS-RAMANUJAN CONTINUED FRACTION BY THETA-FUNCTION IDENTITIES

저자 : Dae Hyun Paek

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 4호 발행 연도 : 2021 페이지 : pp. 377-386 (10 pages)

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In this paper, we use theta-function identities involving parameters l5,n, l′5,n, and l′5,4n to evaluate the Rogers-Ramanujan continued fractions R(e-2π√n/20) and S(e-π√n/5) for some positive rational numbers n.

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9ON THE SUPERSTABILITY OF THE p-RADICAL SINE TYPE FUNCTIONAL EQUATIONS

저자 : Gwang Hui Kim

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 4호 발행 연도 : 2021 페이지 : pp. 387-398 (12 pages)

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In this paper, we will find solutions and investigate the superstability bounded by constant for the p-radical functional equations as follows: with respect to the sine functional equation, where p is an odd positive integer and f is a complex valued function. Furthermore, the results are extended to Banach algebra.

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10A WEIERSTRASS SEMIGROUP AT A GENERALIZED FLEX ON A PLANE CURVE

저자 : Seon Jeong Kim , Eunju Kang

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 4호 발행 연도 : 2021 페이지 : pp. 399-411 (13 pages)

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We consider a Weierstrass semigroup at a generalized ex on a smooth plane curve. We find the candidates of a Weierstrass semigroup at a 2-ex of higher multiplicity on a smooth plane curve of degree d ≥ 5, and give some examples to show the existence of them.

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