• Title/Summary/Keyword: Product Function

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CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONDITIONAL CONVOLUTION PRODUCT ASSOCIATED WITH INFINITE DIMENSIONAL CONDITIONING FUNCTION

  • Jae Gil Choi;Sang Kil Shim
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1221-1235
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    • 2023
  • In this paper, we use an infinite dimensional conditioning function to define a conditional Fourier-Feynman transform (CFFT) and a conditional convolution product (CCP) on the Wiener space. We establish the existences of the CFFT and the CCP for bounded functions which form a Banach algebra. We then provide fundamental relationships between the CFFTs and the CCPs.

CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONDITIONAL CONVOLUTION PRODUCT ASSOCIATED WITH VECTOR-VALUED CONDITIONING FUNCTION

  • Ae Young Ko;Jae Gil Choi
    • The Pure and Applied Mathematics
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    • v.30 no.2
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    • pp.155-167
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    • 2023
  • In this paper, we use a vector-valued conditioning function to define a conditional Fourier-Feynman transform (CFFT) and a conditional convolution product (CCP) on the Wiener space. We establish the existences of the CFFT and the CCP for bounded functionals which form a Banach algebra. We then provide fundamental relationships between the CFFTs and the CCPs.

FRACTIONAL CALCULUS OPERATORS OF THE PRODUCT OF GENERALIZED MODIFIED BESSEL FUNCTION OF THE SECOND TYPE

  • Agarwal, Ritu;Kumar, Naveen;Parmar, Rakesh Kumar;Purohit, Sunil Dutt
    • Communications of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.557-573
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    • 2021
  • In this present paper, we consider four integrals and differentials containing the Gauss' hypergeometric 2F1(x) function in the kernels, which extend the classical Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral and differential operators. Formulas (images) for compositions of such generalized fractional integrals and differential constructions with the n-times product of the generalized modified Bessel function of the second type are established. The results are obtained in terms of the generalized Lauricella function or Srivastava-Daoust hypergeometric function. Equivalent assertions for the Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral and differential are also deduced.

TRANSFORMS AND CONVOLUTIONS ON FUNCTION SPACE

  • Chang, Seung-Jun;Choi, Jae-Gil
    • Communications of the Korean Mathematical Society
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    • v.24 no.3
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    • pp.397-413
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    • 2009
  • In this paper, for functionals of a generalized Brownian motion process, we show that the generalized Fourier-Feynman transform of the convolution product is a product of multiple transforms and that the conditional generalized Fourier-Feynman transform of the conditional convolution product is a product of multiple conditional transforms. This allows us to compute the (conditional) transform of the (conditional) convolution product without computing the (conditional) convolution product.

Study of Parts Integration in Product Including Parts having Same Function (동일 기능을 갖는 부품들이 포함된 제품의 부품 통합에 관한 연구)

  • Choi, Jun Ho;Lee, Kun Sang
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.2
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    • pp.193-198
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    • 2013
  • In general, a product consists of one or more parts. Different parts of a product can perform the same function. According to "the design hypothesis of an integrated part", parts having the same function may be integrated into one part. A part can also perform more than one function. The form or material characteristic of a part may perform its function. In this study, we develop a method for defining the functions of components and for integrating parts having the same functions. We have successfully integrated some parts of a three-hole punch using the proposed method. The results satisfy axiomatic design.

SOME FRACTIONAL INTEGRAL FORMULAS INVOLVING THE PRODUCT OF CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Kim, Yongsup
    • Honam Mathematical Journal
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    • v.39 no.3
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    • pp.443-451
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    • 2017
  • Very recently, Agarwal gave remakably a scads of fractional integral formulas involving various special functions. Using the same technique, we obtain certain(presumably) new fractional integral formulas involving the product of confluent hypergeometric functions. Some interesting special cases of our two main results are considered.

DOUBLE INTEGRALS INVOLVING PRODUCT OF TWO GENERALIZED HYPERGEOMETRIC FUNCTIONS

  • Kim, Joohyung;Kim, Insuk
    • Honam Mathematical Journal
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    • v.43 no.1
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    • pp.26-34
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    • 2021
  • In this paper two interesting double integrals involving product of two generalized hypergeometric functions have been evaluated in terms of gamma function. The results are derived with the help of known integrals involving hypergeometric functions recorded in the paper of Rathie et al. [6]. We also give several very interesting special cases.

The Utility of Function Expressed in 1990s Fashion (1990년대 패션에 나타난 기능의 효율성)

  • Ham, Youn-Ja
    • Fashion & Textile Research Journal
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    • v.7 no.4
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    • pp.371-377
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    • 2005
  • The purpose of this study is to consider 1990s fashion design involving the utility of function which is the essence of modernism. First, documentary studies about the aesthetic value of the utility of function throughout the 20th century sociocultural contexts has been done. Second, content analysis of articles in American "Vogue" from 1990 to 2002 has been accomplished to hold the actual proof for the utility of function in postmodernism fashion. As a result, the utility of function has been defined the utility of body activity, the utility of practical use, and the utility of mechanical product. According to contents analysis, new aspects has been introduced in use of high-tech fabrics, ornaments, and mass customization in 1990s. In conclusion, the utility of function in fashion has been improved in accordance with the change of sociocultural contexts and women's wants.

Developing Environmental Quality Deployment for Designing Environmentally Friendly Product

  • Lee, Dong-Won;Kim, Youn-Sung
    • Journal of Korean Society for Quality Management
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    • v.31 no.2
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    • pp.40-50
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    • 2003
  • This study proposes Environmental Quality Deployment (EQD) by combining an instrument for measuring customer satisfaction (ENVIROQUAL) with a standard tool of product design in manufacturing called quality function deployment (QFD). The EQD presents the conceptual map of House of Environmental Quality as a means to implementation to help a company know what customers perceive as important in making environmentally friendly product and provide a framework for the translation of customer satisfaction into identifiable and measurable conformance specifications for environmentally friendly product design.

Meaning and Delightful Effect of Rewards in Online Shopping Malls -A Hand-written Letter and a Free Gift- (온라인 쇼핑몰에서 보상의 의미와 감동 효과 -손편지와 사은품-)

  • Park, Kyungae
    • Journal of the Korean Society of Clothing and Textiles
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    • v.40 no.5
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    • pp.867-878
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    • 2016
  • This study examined the effects on customer delight, satisfaction, and repurchase intention for two reward types by online shopping malls, a hand-written letter and a free gift. Two scenarios to manipulate the rewards provided by online shopping malls were developed. Study 1 revealed that the effects of a hand-written letter on delight and satisfaction were higher than those of a free gift; in addition, delight was more important than satisfaction for repurchase intention. Study 2 examined product quality that is the core function of online purchases by developing 4 scenarios that considered product quality and rewards. The result showed that high product quality caused delight and satisfaction while rewards did not. When product quality was considered, satisfaction influenced repurchase intention more than delight. The study implies that the core function of product quality is more important than rewards for customer delight, satisfaction, and repurchase in online shopping malls.