• 제목/요약/키워드: generalizations

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The denjoy extension of the mcshane integral

  • Park, Jae-Myung;Lee, Deok-Ho
    • 대한수학회보
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    • 제33권3호
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    • pp.411-417
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    • 1996
  • Some generalizations of the Riemann integral have been studied for real-valued functions. One of these generalizations leads to an integral, often called the McShane integral, that is equivalent to the Lebesgue integral.

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On Regular Generalized Fuzzy Closed Sets and Generalizations of Fuzzy Continuous Functions

  • Park, Jin-Han;Park, Jin-Kuen;Lee, Bu-Young
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.213-218
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    • 1998
  • In this paper, we define and study another various generalizations of fuzzy continuous functions by using the concept of regular generalized fuzzy closed sets, A comparative study regarding the mutual interrelations among these functions along with those functions obtained in [3] is made. Finally, we have introduced and studied the notions of rgf-extremally disconnectedness and rgf-compactness

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On some Bounds for the Parameter λ in Steffensen's Inequality

  • PECARIC, JOSIP;KALAMIR, KSENIJA SMOLJAK
    • Kyungpook Mathematical Journal
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    • 제55권4호
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    • pp.969-981
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    • 2015
  • The object is to obtain weaker conditions for the parameter ${\lambda}$ in Steffensen's inequality and its generalizations and refinements additionally assuming nonnegativity of the function f. Furthermore, we contribute to the investigation of the Bellman-type inequalites establishing better bounds for the parameter ${\lambda}$.