User:Temperal/The Problem Solver's Resource11
InequalitiesMy favorite topic, saved for last. Trivial InequalityFor any real Arithmetic Mean/Geometric Mean InequalityFor any set of real numbers
Cauchy-Schwarz InequalityFor any real numbers
Cauchy-Schwarz VariationFor any real numbers
Power Mean InequalityTake a set of functions Note that
, if RSM-AM-GM-HM InequalityFor any positive real numbers
with equality iff Chebyshev's InequalityGiven real numbers
Minkowski's InequalityGiven real numbers
Nesbitt's InequalityFor all positive real numbers
Schur's inequalityGiven positive real numbers
Jensen's InequalityFor a convex function
Holder's InequalityFor positive real numbers
Muirhead's InequalityFor a sequence
Rearrangement InequalityFor any multi sets Newton's InequalityFor non-negative real numbers
with equality exactly iff all MacLaurin's InequalityFor non-negative real numbers
with equality iff all Back to page 10 | Last page (But also see the tips and tricks page, and the competition! |