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Let Pn be the class of polynomials of degree at most nRather and Shah [15]proved that if P∈Pnand P(z)≠0 in|z|< 1, then for every R > 0 and 0≤q < ∞,|B[ P( Rz)]|q ≤|RnB[zn] + λ0 |q|1 + zn|q|P(z)|q,where B is a Bn-operator.In this paper, we prove so