Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 13 2 2022 07 01 A note on sharpening of Erdos-Lax and Turan-type inequalities for a constrained polynomial 3239 3249 6808 10.22075/ijnaa.2022.27098.3498 EN Adil Hussain Malik Department of Mathematics, University of Kashmir, Srinagar-190006, India Journal Article 2022 05 06 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. Complex domain Rouche's theorem Zeros https://ijnaa.semnan.ac.ir/article_6808_6194a1ee187acd6606989f03769e8f7f.pdf