Approximation of radial functions by piecewise polynomials on arbitrary grids

Approximation of Functions on [−1,1] and

Approximation of Functions on [−1,1] and Their Derivatives by Polynomial Projection Operators

✍ K. Balázs; T. Kilgore 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 241 KB

## Abstract Pointwise estimates are obtained for the simultaneous approximation of a function f ϵ__C__^__q__^[‐1,1] and its derivatives f^(1)^, …, f^(q)^ by means of an arbitrary sequence of bounded linear projection operators __L__~__n__~ which map __C__[‐1,1] into the polynomials of degree at mos