NettetMy professor asked me to prove the equality in Cauchy-Schwarz inequality. The equality holds iff the vectors v and u are linearly dependent. I am able to show the equality … NettetAfter reading a comment on If $\mathrm{E} X ^2$ exists, then $\mathrm{E} X$ also exists, I wonder if Cauchy Schwarz inequality can be proven using Jensen's inequality? Stack Exchange Network Stack Exchange network consists of 181 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, …
Lecture 4 - University of Texas at Austin
Nettet18. jan. 2024 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Nettet1. jul. 2015 · The Cauchy–Schwarz inequality is one of most widely used and most important inequalities in mathematics. The aim of this note is to show a new inequality … dr charles scott dds
linear algebra - Prove Cauchy-Schwarz equality. - Mathematics …
Nettet6.6 The Cauchy-Schwarz Inequality. The Cauchy-Schwarz inequality is one of the most widely used inequalities in mathematics, and will have occasion to use it in proofs. We can motivate the result by assuming that vectors u and v are in ℝ 2 or ℝ 3. In either case, 〈 u, v 〉 = ‖ u ‖ 2 ‖ v ‖ 2 cos θ. NettetWe can also derive the Cauchy-Schwarz inequality from the more general Hölder's inequality. Simply put m = 2 m = 2 and r = 2 r = 2, and we arrive at Cauchy Schwarz. … NettetCauchy-Schwarz Inequality. The inequality for sums was published by Augustin-Louis Cauchy ( 1821 ), while the corresponding inequality for integrals was first proved by Viktor Bunyakovsky ( 1859) . Later the integral inequality was rediscovered by Hermann Amandus Schwarz ( 1888) . dr charles scott hall