Bernstein Type Inequalities for Polar Derivative of Polynomial
2021 ◽
Vol 12
(2)
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pp. 3184-3188
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If is a polynomial of degree n such that in , , then Govil [ Proc. Nat. Acad. Sci., Vol. 50, pp. 50-52, 1980. ] proved provided and attain their maxima at the same point on the circle , where . Equality in the above inequality holds for. In this paper, we extend the above inequality and an improved version of this into polar derivative of a polynomial.
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2020 ◽
Vol 51
(4)
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pp. 1357-1371
2010 ◽
Vol 59
(4)
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pp. 1451-1490
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2013 ◽
Vol 29
(4)
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pp. 384-389
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