충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제33권1호
  • /
  • Pages.147-156
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  • 2020
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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HYPERSTABILITY OF A SUM FORM FUNCTIONAL EQUATION RELATED DISTANCE MEASURES

  • 투고 : 2019.11.18
  • 심사 : 2020.01.31
  • 발행 : 2020.02.15
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초록

The functional equation related to a distance measure f(pr, qs) + f(ps, qr) = M(r, s)f(p, q) + M(p, q)f(r, s) can be generalized a sum form functional equation as follows $${\frac{1}{n}}{\sum\limits_{i=0}^{n-1}}f(P{\cdot}{\sigma}_i(Q))=M(Q)f(P)+M(P)f(Q)$$ where f, g is information measures, P and Q are the set of n-array discrete measure, and σi is a permutation for each i = 0, 1, ⋯, n-1. In this paper, we obtain the hyperstability of the above type functional equation.

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과제정보

This research was supported by the Daejeon University Research Grants (2019).

참고문헌

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