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- Abel's_inequality abstract "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 thatand if {an} is nonincreasing, it holds thatwhereIn particular, if the sequence {an} is nonincreasing and nonnegative, it follows thatAbel's inequality follows easily from Abel's transformation, which is the discrete version of integration by parts: If{a1, a2,...} and {b1, b2,...} are sequences of real or complex numbers, it holds that".
- Abel's_inequality wikiPageExternalLink index.php?title=Abel_inequality&oldid=18342.
- Abel's_inequality wikiPageID "12213076".
- Abel's_inequality wikiPageRevisionID "541649001".
- Abel's_inequality hasPhotoCollection Abel's_inequality.
- Abel's_inequality title "Abel's inequality".
- Abel's_inequality urlname "AbelsInequality".
- Abel's_inequality subject Category:Inequalities.
- Abel's_inequality subject Category:Niels_Henrik_Abel.
- Abel's_inequality type Abstraction100002137.
- Abel's_inequality type Attribute100024264.
- Abel's_inequality type Difference104748836.
- Abel's_inequality type Inequalities.
- Abel's_inequality type Inequality104752221.
- Abel's_inequality type Quality104723816.
- Abel's_inequality comment "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.".
- Abel's_inequality label "Abel's inequality".
- Abel's_inequality label "阿贝尔不等式".
- Abel's_inequality sameAs m.02vw29j.
- Abel's_inequality sameAs Q4666526.
- Abel's_inequality sameAs Q4666526.
- Abel's_inequality sameAs Abel's_inequality.
- Abel's_inequality wasDerivedFrom Abel's_inequality?oldid=541649001.
- Abel's_inequality isPrimaryTopicOf Abel's_inequality.