Bernstein Type Inequalities for Polar Derivative of Polynomial | Zendy

Barchand Chanam | Zendy

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Bernstein Type Inequalities for Polar Derivative of Polynomial

Author(s) -

Barchand Chanam

Publication year - 2021

Publication title -

türk bilgisayar ve matematik eğitimi dergisi

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.218

H-Index - 3

ISSN - 1309-4653

DOI - 10.17762/turcomat.v12i2.2369

Subject(s) - mathematics , inequality , polynomial , polar , derivative (finance) , type (biology) , degree (music) , combinatorics , pure mathematics , discrete mathematics , mathematical analysis , physics , economics , ecology , astronomy , acoustics , financial economics , biology

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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