On constrained uniform approximation.
Shape preserving rational cubic interpolation.
Shape-preserving multivariate polynomial approximation in .
Sharpness of estimates for the least uniform derivation from the class of functions with bounded second derivative.
Smoothing and interpolation in a convex subset of a Hilbert space : II. The semi-norm case
Some algorithm for testing convexity of histogram
The convex interpolation of histogram by polynomial splines: The existence theorem
The Derivation of Cubic Splines with Obstacles by Methods of Optimization and Optimal Control.
Trigonometric approximation in the norms and seminorm
ε-Entropy and moduli of smoothness in -spaces
The asymptotic behaviour of ε-entropy of classes of Lipschitz functions in is obtained. Moreover, the asymptotics of ε-entropy of classes of Lipschitz functions in whose tail function decreases as is obtained. In case p = 1 the relation between the ε-entropy of a given class of probability densities on and the minimax risk for that class is discussed.