Convexity Conditions and Intersections with Smooth Functions
Convexity Conditions and Intersections with Smooth Functions
A continuous function that agrees with each member of a family $\mathcal {F}$ of smooth functions in a small set must itself possess certain desirable properties. We study situations that arise when $\mathcal {F}$ consists of the family of polynomials of degree at most $n$, as well as certain larger …