“Jensen's Inequality”的概念、定义、习题解题方法及翻译-数学辞典

单词

Jensen's Inequality

释义

Jensen's Inequality

For a Real Continuous Concave Function

(1)

is concave down,

(2)

is concave up, and

(3)

Iff

. A special case is

(4)

with equality Iff

See also Concave Function, Mahler's Measure

References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1101, 1979.

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