I am reading a proof in a textbook and the author uses an assumption of "convexity modulus" for a function $l$ which states:
$$ l(u)+l(v)-l\left(\frac{u+v}{2}\right) \geq C |u-v|^2 $$
for some $C > 0$.
Is this standard terminology?
I am reading a proof in a textbook and the author uses an assumption of "convexity modulus" for a function $l$ which states:
$$ l(u)+l(v)-l\left(\frac{u+v}{2}\right) \geq C |u-v|^2 $$
for some $C > 0$.
Is this standard terminology?
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