Malik, Shabir2022-12-282022-12-282022https://doi.org/10.31801/cfsuasmas.989344http://hdl.handle.net/20.500.12575/86530In this paper we impose distinct restrictions on the moduli of the zeros of p ( z ) = n ∑ v = 0 a v z v and investigate the dependence of ∥ p ( R z ) − p ( σ z ) ∥ , R > σ ≥ 1 on M α and M α + π , where M α = max 1 ≤ k ≤ n | p ( e i ( α + 2 k π ) / n ) | and on certain coefficients of p ( z ) . This paper comprises several results, which in particular yields some classical polynomial inequalities as special cases. Moreover, the problem of estimating p ( 1 − w n ) , 0 < w ≤ given p ( 1 ) = 0 is considered.enPolynomials, definite integral, zeros, inequalitiesArticle7136666811303-5991