Open AccessBernstein 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 , polynomial , polar , inequality , derivative (finance) , type (biology) , degree (music) , bernstein polynomial , pure mathematics , mathematical analysis , physics , ecology , astronomy , acoustics , financial economics , 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.