A note on sharpening of Erdos-Lax and Turan-type inequalities for a constrained polynomial
نویسندگان
1 Department of Mathematics, University of Kashmir, Srinagar-190006, India
doi
10.22075/ijnaa.2022.27098.3498چکیده
The well-known Erdos-Lax and Turan-type inequalities, which relate the uniform norm of a univariate complex coefficient polynomial to its derivative on the unit circle in the plane, are discussed in this paper. We create some new inequalities here when there is a restriction on its zeros. The obtained results strengthen some recently proved Erdos-Lax and Turan-type inequalities for constrained polynomials and also produce various inequalities that are sharper than the previous ones known in a very rich literature on this subject.