Some inequalities for the growth of self-reciprocal polynomials. (English) Zbl 1347.41013

Tariq, Q. M.

Transylv. J. Math. Mech. 7, No. 1, 59-66 (2015).

Summary: In this paper we prove a property of self reciprocal polynomials and use it to obtain few inequalities for the growth of such polynomials.

MSC:

41A17	Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)
30A10	Inequalities in the complex plane
41A10	Approximation by polynomials
42A05	Trigonometric polynomials, inequalities, extremal problems

Keywords:

self-reciprocal polynomials; mean value; \(L^P\) inequality