- #1
rfrederic
- 6
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I found many information showed Schwarz inequality and Cauchy–Schwarz inequality are same on books and internet, but my teacher's material shows that:
Schwarz inequality:
[itex]\left\|[x,y]\right\|\leq\left\|x\right\|+\left\|y\right\|[/itex]
Cauchy–Schwarz inequality:
[itex]\left\|[x,y]\right\|\leq\left\|x\right\|\left\|y\right\|[/itex]
They seem to be different on material, and I had sent email to teacher but having no reply.
Therefore my question is "Are Schwarz inequality and Cauchy–Schwarz inequality same?"
Schwarz inequality:
[itex]\left\|[x,y]\right\|\leq\left\|x\right\|+\left\|y\right\|[/itex]
Cauchy–Schwarz inequality:
[itex]\left\|[x,y]\right\|\leq\left\|x\right\|\left\|y\right\|[/itex]
They seem to be different on material, and I had sent email to teacher but having no reply.
Therefore my question is "Are Schwarz inequality and Cauchy–Schwarz inequality same?"
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