Generalizations of Bernstein and Turán-Type Inequalities for the Polar Derivative of a Complex Polynomial
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1446-3
Abstract: The goal of this paper is to extend to the polar derivatives some previous inequalities between the $$L^\gamma $$-norms of the derivative and of the polynomial itself, in case when the zeros are outside or… read more here.
Keywords: polar derivative; generalizations bernstein; tur type; bernstein tur ... See more keywords
Inequalities Concerning the Polar Derivative of a Polynomial
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-015-0183-4
Abstract: In this paper, certain refinements and generalizations of some inequalities concerning the polynomials and their polar derivative are obtained. read more here.
Keywords: polar derivative; derivative polynomial; concerning polar; inequalities concerning ... See more keywords
Integral norm estimates for the polar derivative of Lacunary-type complex polynomials
Sign Up to like & getrecommendations! Published in 2020 at "Applicable Analysis and Discrete Mathematics"
DOI: 10.2298/aadm200412036m
Abstract: In this paper, we prove some integral-norm inequalities for the polar derivative of Lacunary-type complex polynomials having zeros in closed exterior or closed interior of a circle. The results obtained besides derive polar derivative analogues… read more here.
Keywords: polar derivative; derivative lacunary; lacunary type; integral norm ... See more keywords