POLYNOMIAL INEQUALITIES IN L-P NORMS WITH GENERALIZED JACOBI WEIGHTS

摘要

We give concrete estimates of Schur- and Nikolskii-type inequalities with the best exponent of polynomial degree in L-P norms with generalized Jacobi weights. In particular, we obtain these inequalities with the Chebyshev weight, with the Gegenbauer weights and with the classical Jacobi ones.