Sentence examples for approximate uniformly from inspiring English sources

In this section, we study a fuzzy version of the generalized Hyers-Ulam stability of functional equation which approximate uniformly a radical quadratic mapping in fuzzy Banach spaces.

Here we can eliminate the differentiability condition due to the fact that it is possible to approximate uniformly a continuous convex function by convex polynomials (see [2], p.172).

It is shown that on weakly compactly generated Banach spaces which admit a Lipschitz, Cp smooth bump function, one can uniformly approximate uniformly continuous, bounded, real-valued functions by Lipschitz, Cp smooth functions.

One needs to see if all the zeros can be approximated uniformly.

which shows that all the non-trivial zeros can, indeed, be approximated uniformly.

its second variable can be approximated uniformly on each R × K (K compact) by a sequence of functions which are periodic w.r.t.

If f is a continuous function with nondecreasing increments of order n, it may be approximated uniformly on I by polynomials having nonnegative n th partial derivatives.

Using this method, we shall prove that a right regulated mapping has at most countable number of discontinuities, and that it can be approximated uniformly on compact intervals by step mappings with well-ordered steps.

Sufficiency: Since f may be approximated uniformly on I by functions with continuous nonnegative n th partial derivatives, we may assume that the n th partials f i 1 ⋯ i n exist and are continuous and nonnegative.

Relatively recently it was proved that if Γ is an arbitrary set, then any equivalent norm on c0 can be approximated uniformly on bounded sets by polyhedral norms and C∞ smooth norms, with arbitrary precision.

Indeed, in this case, there are functions in the unit ball of whose orbit under is dense in, therefore every harmonic polynomial can be approximated in the topology of by a (multiple of a fixed ) translation of, and we obtain that the harmonic functions can be approximated, uniformly on compact sets of, by translations of.