• Title, Summary, Keyword: integration by parts

Search Result 188, Processing Time 0.033 seconds

INTEGRATION BY PARTS FOR THE HENSTOCK-STIELTJES INTEGRALS

  • Kim, Yung Jin
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.10 no.1
    • /
    • pp.23-28
    • /
    • 1997
  • In this paper, we investigate continuity of $$F(x)=(H){\int}_a^x\;fdG$$ and Henstock-Stieltjes integrability of product of two functions and obtain the formula of integration by parts for the Henstock-Stieltjes integral.

  • PDF

THE GENERALISED INTEGRATION BY PARTS FORMULA FOR APPELL SEQUENCES AND RELATED RESULTS

  • Dargomir, S.S.
    • Communications of the Korean Mathematical Society
    • /
    • v.19 no.1
    • /
    • pp.75-92
    • /
    • 2004
  • A generalised integration by parts formula for sequences of absolutely continuous functions that satisfy the ${\omega}-Appell$ condition and different estimates for the remainder are provided. Applications for particular instances of such sequences are pointed out as well.

Study on Concept Design of the Motor Actuator of Outside Rear-View Mirror by Incomplete Coupled Design (불완전연성설계의 특성을 갖는 사이드미러 액추에이터의 개념설계에 관한 연구)

  • Choi, Jun-Ho;Lee, Kun-Sang
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.34 no.12
    • /
    • pp.1843-1848
    • /
    • 2010
  • This paper presents an analysis of the design hypothesis of integration of parts from the viewpoint of axiomatic design. In parts integration, parts with the same functions are integrated into a single part. For the analysis, a motor actuator of an outside rear-view mirror with the type of an uncoupled design was used. The parts within the actuator are checked for determining the possibility of integration, by adopting the design hypothesis of integration of parts. The design hypothesis of integration of parts is based on a type of coupled design. However, the type of incomplete coupled design that resembles the type of an uncoupled design would be better than the type of a coupled design.

Classification of Ontology Integration and Ontology-based Semantic Integration of PLM Object (온톨로지 통합 분류와 온톨로지 기반의 PLM Object 의미적 통합)

  • Kwak, Jung-Ae;Yong, Hwan-Seung;Choi, Sang-Su
    • Korean Journal of Computational Design and Engineering
    • /
    • v.13 no.3
    • /
    • pp.163-174
    • /
    • 2008
  • In this paper, for integrating of data on car parts we model information of parts that PDM system manages. Ontology of car parts applies existing ontology mapping research to integrate into car ontology. We propose a method for semantic integration of PLM object of MEMPHIS based on the integrated ontology. Through our method, we introduce C# ontology model to apply existing C# applications with ontology. We also classify ontology integration into three through examples and explain them. While semantically integrating PLM objects based on the integrated ontology, we explain the need for change of PLM object type and describe the process of change for PLM object type by examples.

THE INTEGRATION BY PARTS FOR THE C-INTEGRAL

  • Park, Jae Myung;Lee, Deok Ho;Yoon, Ju Han;Yu, Young Hyun
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.22 no.3
    • /
    • pp.607-613
    • /
    • 2009
  • In this paper, we define the C-integral and prove the integration by parts formula for the C-integral.

  • PDF

THE INTEGRATION BY PARTS FOR THE Mα-INTEGRAL

  • Park, Jae Myung;Lee, Deok Ho;Yoon, Ju Han;Lee, Hoe Kyoung
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.23 no.4
    • /
    • pp.861-870
    • /
    • 2010
  • In this paper, we define the $M_{\alpha}$-integral and prove the integration by parts formula for the $M_{\alpha}$-integral.

PARTS FORMULAS INVOLVING INTEGRAL TRANSFORMS ON FUNCTION SPACE

  • Kim, Bong-Jin;Kim, Byoung-Soo
    • Communications of the Korean Mathematical Society
    • /
    • v.22 no.4
    • /
    • pp.553-564
    • /
    • 2007
  • In this paper we establish several integration by parts formulas involving integral transforms of functionals of the form $F(y)=f(<{\theta}_1,\;y>),\ldots,<{\theta}_n,\;y>)$ for s-a.e. $y{\in}C_0[0,\;T]$, where $<{\theta},\;y>$ denotes the Riemann-Stieltjes integral ${\int}_0^T{\theta}(t)\;dy(t)$.

PARTS FORMULAS INVOLVING CONDITIONAL INTEGRAL TRANSFORMS ON FUNCTION SPACE

  • Kim, Bong Jin;Kim, Byoung Soo
    • Korean Journal of Mathematics
    • /
    • v.22 no.1
    • /
    • pp.57-69
    • /
    • 2014
  • We obtain a formula for the conditional Wiener integral of the first variation of functionals and establish several integration by parts formulas of conditional Wiener integrals of functionals on a function space. We then apply these results to obtain various integration by parts formulas involving conditional integral transforms and conditional convolution products on the function space.

Integration Forming Technology based on Cold Hot Forging of Clutch Jaw Parts for Farm Machinery (냉열간 단조기술을 적용한 농기계용 클러치 Jaw 부품 일체화 성형기술)

  • Park, Dong-Hwan;Han, Seong-Chul
    • Journal of The Korean Society of Manufacturing Technology Engineers
    • /
    • v.24 no.5
    • /
    • pp.489-495
    • /
    • 2015
  • Forging is a manufacturing process involving the shaping of metal using localized compressive forces and the process of deforming metal into a predetermined shape using certain tools and press according to the temperature. Forging provides stronger metal parts than that possible by casting or machining. Conventional clutch jaw parts have been developed through cold forging and precision machining; however, fabrication of integral clutch jaw parts for farm machinery has not been reported yet. These parts were developed by applying a complex forging technology combining cold and hot forging. The integrated forming technology proposed in this study will be useful for reducing the lead-time for manufacturing, improving the accuracy of products, and eliminating the welding process.