• Title/Summary/Keyword: equi-integrability

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ON CONVERGENCE THEOREMS OF THE AP-HENSTOCK-STIELTJES INTEGRAL FOR FUZZY NUMBER-VALUED FUNCTIONS

  • Yoon, Ju Han
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.3
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    • pp.333-341
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    • 2018
  • In this paper we introduce the concept of equi-integrability of sequence of the fuzzy number-valued AP-Henstock-Stieltjes integrable functions. Under this concept, we prove two convergence theorems for sequences of the fuzzy number-valued AP-Henstock-Stieltjes integrable functions.

CHARACTERIZING CONVERGENCE CONDITIONS FOR THE Mα-INTEGRAL

  • Garces, Ian June Luzon;Racca, Abraham Perral
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.3
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    • pp.469-480
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    • 2011
  • Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This paper presents two characterizing convergence conditions for this integral, and derives other known convergence theorems as corollaries.

Equi-Phase Microwave Power Divider Using Fixed Phase Shifters (고정형 위상 천이기를 이용한 동일 위상 마이크로파 전력 분배기)

  • Kim, Jung Ouk;Kim, Hansol;An, Boram;Kim, Sujeong;Kim, Chan-Ho;Yoon, Won-Sang;Han, Sang-Min
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.8
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    • pp.576-582
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    • 2018
  • In this paper, a planar equi-phase power divider is proposed using fixed phase shifters. As the integrability of a phased array antenna increases for accurate beam steering, a conventional method to excite equi-phase signals to all element antennas, extending the feedline, has spatial limitations. Therefore, the planar equi-phase power divider is designed using a defected ground structure with a planar phase shift function without intentional feedline extension. The defected ground structure has been considered for a low insertion loss and a controllable phase shift, whereas the power divider has been designed and implemented with a port-to-port isolation and a planar configuration.