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Authors: DINESH TRIPATHI.
DOI: 10.24193/subbmath.2020.3.01
Published Online: 2020-09-15
Published Print: 2020-09-15
pp. 325-332
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ABSTRACT: Let p(z) = Pn ν=0 aνzν be a polynomial of degree n, M(p; R) := maxjzj=R≥0 jp(z)j; and M(p; 1) := M(p). Then by well-known result due to Ankeny and Rivlin [3], we have M(p:R) ≤ Rn2+ 1M(p); R ≥ 1: In this paper, we sharpen and generalizes the above inequality by using a result due to Govil.
Key words: Inequalities, Polynomials, Maximum modulus.
