Approximation Theory

Error bounds for the derivatives of Lidstone interpolation and applications; higher order univariate wavelet typed approximation; modified weighted (0.2) interpolation; new approach to Markov inequality in Lp norms; a question of reliability theory; notes on miscellaneous approximation problems; Muntz's theorem on compact subsets of positive measure; frames and Schauder bases; interpolation on spheres; nonparametric density estimation by polynomials and by splines; Birkhoff type interpolation on perturbed roots of unity; approximation by entire functions with only real zeros; nonlinear means in geometric modelling; nonlinear stationary subdivision; convex univalent functions and omitted values; total positivity and total variation; inequalities for maximum modulus of rational functions with prescribed poles; recent progress on multivariate splines; hermite interpolation on Chebyshev nodes and Walsh equiconvergence; continuous functions which change sign without properly crossing the x-axis; some remarks on weighted interpolation; a note on Chebyshev's inequality; smooth Maclaurin series coefficients in Pade and rational approximation; on Marcinkiewicz-Zygmund-type inequalities; extremal problems for restricted polynomial classes in Lp norm.