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In mathematics, Mahler's inequality, named after Kurt Mahler, states that the geometric mean of the term-by-term sum of two finite sequences of positive numbers is greater than or equal to the sum of their two separate geometric means: when xk, yk > 0 for all k.

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  • Mahler's inequality (en)
  • 말러의 부등식 (ko)
  • 马勒不等式 (zh)
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  • In mathematics, Mahler's inequality, named after Kurt Mahler, states that the geometric mean of the term-by-term sum of two finite sequences of positive numbers is greater than or equal to the sum of their two separate geometric means: when xk, yk > 0 for all k. (en)
  • 말러의 부등식(독일어: Mahler-Ungleichung, Mahler's inequality, -不等式)은 부등식의 일종으로, 독일 수학자 쿠르트 말러(Kurt Mahler)가 제시하여 그의 이름이 붙어 있다. 민코프스키 부등식의 대수적 형태를 곱 형태로 변형시킨 것이라 볼 수 있는 부등식으로, 2n개의 양수 과 에 대해 다음과 같이 쓸 수 있다. * (ko)
  • 在数学领域, 马勒不等式陈述说由两个无穷正项序列的对应项的和构成序列的几何均值大于或等于这两个无穷序列几何均值的和: 其中, 对任何的k, xk, yk > 0. 不等式以的名字命名. (zh)
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  • In mathematics, Mahler's inequality, named after Kurt Mahler, states that the geometric mean of the term-by-term sum of two finite sequences of positive numbers is greater than or equal to the sum of their two separate geometric means: when xk, yk > 0 for all k. (en)
  • 말러의 부등식(독일어: Mahler-Ungleichung, Mahler's inequality, -不等式)은 부등식의 일종으로, 독일 수학자 쿠르트 말러(Kurt Mahler)가 제시하여 그의 이름이 붙어 있다. 민코프스키 부등식의 대수적 형태를 곱 형태로 변형시킨 것이라 볼 수 있는 부등식으로, 2n개의 양수 과 에 대해 다음과 같이 쓸 수 있다. * (ko)
  • 在数学领域, 马勒不等式陈述说由两个无穷正项序列的对应项的和构成序列的几何均值大于或等于这两个无穷序列几何均值的和: 其中, 对任何的k, xk, yk > 0. 不等式以的名字命名. (zh)
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