On a Representation Theorem and Application to Moment Sequences in Locally Convex Spaces.
Generalized Bernstein Power-Series.
A Property of Approximation Operators and Applications to Trauberian Constants.
A generalization of the mean ergodic theorem
Nearly Coconvex Approximation
* Part of this work was done while the second author was on a visit at Tel Aviv University in March 2001 Let f ∈ C[−1, 1] change its convexity finitely many times, in the interval. We are interested in estimating the degree of approximation of f by polynomials, and by piecewise polynomials, which are nearly coconvex with it, namely, polynomials and piecewise polynomials that preserve the convexity of f except perhaps in some small neighborhoods of the points where f changes its convexity....
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