본문 바로가기
KERD
논문KCI 등재

Refined arithmetic-geometric mean inequality and new entropy upper bound

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we establish a new refinement of the arithmetic-geometric mean inequality. Applying this result in information theory, we obtain a more precise upper bound for Shannon's entropy.

Abstract

In this paper, we establish a new refinement of the arithmetic-geometric mean inequality. Applying this result in information theory, we obtain a more precise upper bound for Shannon's entropy.

참고문헌 (8)

  1. S. S. Dragomir, "A counterpart of Jensen’s discrete inequality for differentiable convex mappings and applications in information theory", Math. Comput. Modelling, 24(2), pp.1~11 (1996)
  2. S. S. Dragomir, "Some bounds on entropy measures in information theory", Appl. Math. Lett, 10(3), pp.23~28 (1997)
  3. P. R. Mercer, "Refined arithmetic, geometric and harmonic mean inequalities", Rocky Mountain J. Math, 33(4), pp.1459~1464 (2003)
  4. O. Parkash, "Entropy bounds using arithmetic-geometric-harmonic mean inequality", Int. J. Pure Appl. Math, 89(5), pp.719~730 (2013)
  5. S. Simic, "Best possible global bounds for Jensen’s inequality", Appl. Math. Comput, 215(6), pp.2224~2228 (2009)
  6. S. Simic, "Jensen’s inequality and new entropy bounds", Appl. Math. Lett, 22(8), pp.1262~1265 (2009)
  7. N. Tapus, "A new entropy upper bound", Appl. Math. Lett, 25(11), pp.1887~1890 (2012)
  8. J. Tian, "New property of a generalized Holder’s inequality and its applications", Inform. Sci, 288, pp.45~54 (2014)

관련 논문AI추천

이 간행물의 다른 논문 (15건)