Smoothness theorems for generalized symmetric Pollaczek weights on \((-1,1)\) (Q1300799)

In this paper the author, generalizing results of \textit{D. S. Lubinsky} [J. Approximation Theory 91, No. 1, 1-47 (1997; Zbl 0887.41014)], obtains a new characterization of smoothness for weighted polynomial approximation in \(L_p\)-spaces on \([-1,1]\), \(1\leq p\leq\infty\), with respect to a class of exponential weights on \((-1,1)\). This class is larger than that considered by Lubinsky and includes the classical Pollaczek weights.