Help: Proof of an inequality# Computation - 科学计算
j*r
1 楼
Hi,
Does anyone have any idea to prove the following inequality :
Assuming a, b, c and q are real numbers satisfying :
1) a>=1, b>=1 , c>=1 , q>=1
2) abs(a-b)
3) q>=2
Prove:
abs(a^q-b^q)
Any suggestions and comments are very welcome.
Thanks.
Min
Does anyone have any idea to prove the following inequality :
Assuming a, b, c and q are real numbers satisfying :
1) a>=1, b>=1 , c>=1 , q>=1
2) abs(a-b)
3) q>=2
Prove:
abs(a^q-b^q)
Any suggestions and comments are very welcome.
Thanks.
Min