On approximation by cylinder functions

On approximation by rational functions

✍ A.R Reddy 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 65 KB

On Best Approximation by Ridge Functions

✍ V.E Maiorov 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 208 KB

A note on approximation by step function

A note on approximation by step functions

✍ Kazuaki Kitahara 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 231 KB

Approximation by Extreme Functions

✍ A Jiménez-Vargas; J.F Mena-Jurado; J.C Navarro-Pascual 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 130 KB

For T a topological space and X a real normed space, Y=C(T, X) denotes the space of continuous and bounded functions from T into X endowed with the sup norm. We calculate a formula for the distance :( f ) from f in Y to the set Y &1 of functions in Y which have no zeros. Namely, we prove that :( f )

Approximation by Spherical Functions

✍ Hermann König 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 548 KB

## Abstract Results on the degree of approximation of continuous or Lipschitz‐continuous functions f:S^n−1^ → ℝ on the sphere in ℝ^__n__^ by spherical functions of degree __k__ are given in terms of __k__ and __n__, strengthening results of Newman and Shapiro. An example of (restriction of) a norm

Approximation of surfaces by cylinders

✍ Thomas Randrup 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 737 KB

We present a new method for approximation of a given surface by a cylinder surface. It is a constructive geometric method, leading to a monorail representation of the cylinder surface. By use of the Gaussian image of the given surface, we determine a projection plane. In the orthogonal projection of