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Let p(z)=∑v^n=0avz^v anzn be a polynomial of degree n,M(p,R)=:max|z|=R≥0|p(z)|and M(p,1)=:||P||.Then according to a well-known result of Ankeny and Rivlin[1],we have for R≥1,M(p,R≤(R^n+1/2)||p||.This inequality has been sharpened by Govil[4],who proved th