Inequalities for generalized nonnegative polynomials (Q1185202)

A generalized real polynomial is an expression \(f=\prod^ k_{j=1}P_ j^{r_ j}\), where \(P_ j\) is a real polynomial of degree exactly \(n_ j\), and \(r_ j>0\). The degree of \(f\) is \(\Sigma n_ jr_ j\). Generalized trigonometric polynomials may be introduced in an analogous way. The authors prove Markov-, Bernstein- and Remez-type inequalities in \(L^ p(0<p<\infty)\) for such generalized polynomials.