Abel's inequality
In mathematics, Abel's inequality, named after Niels Henrik Abel, supplies a simple bound on the absolute value of the inner product of two vectors in an important special case. Let {a1, a2,...} be a sequence of real numbers that is either nonincreasing or nondecreasing, and let {b1, b2,...} be a sequence of real or complex numbers. If {an} is nondecreasing, it holds that and if {an} is nonincreasing, it holds that where In particular, if the sequence {an} is nonincreasing and nonnegative, it follows that
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Abel's inequality
In mathematics, Abel's inequality, named after Niels Henrik Abel, supplies a simple bound on the absolute value of the inner product of two vectors in an important special case. Let {a1, a2,...} be a sequence of real numbers that is either nonincreasing or nondecreasing, and let {b1, b2,...} be a sequence of real or complex numbers. If {an} is nondecreasing, it holds that and if {an} is nonincreasing, it holds that where In particular, if the sequence {an} is nonincreasing and nonnegative, it follows that
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In mathematics, Abel's inequal ...... complex numbers, it holds that
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阿贝尔不等式（Abel's inequality），由尼尔斯 ...... 如果{an}单调递减： 阿贝尔不等式可从阿贝尔变换轻易得出：
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Abel's inequality
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AbelsInequality
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In mathematics, Abel's inequal ...... d nonnegative, it follows that
@en
阿贝尔不等式（Abel's inequality），由尼尔斯 ...... 如果{an}单调递减： 阿贝尔不等式可从阿贝尔变换轻易得出：
@zh
label
Abel's inequality
@en
阿贝尔不等式
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