Modulus of Approximate Continuity for $R(X)$.

Modulus of continuity on parts of the boundary and solid modulus of continuity

On genuine Lupac{s}-Beta operators and modulus of continuity

In the present article we discuss approximation properties of genuine Lupac{s}-Beta operators of  integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention  results on the weighted modulus of continuity for the genuine operators.

Uniform Modulus of Continuity of Random Fields

A sufficient condition for the uniform modulus of continuity of a random field X = {X(t), t ∈ RN} is provided. The result is applicable to random fields with heavy-tailed distribution such as stable random fields. Running head: Uniform Modulus of Continuity of Random Fields 2000 AMS Classification numbers: 60G60, 60G52, 60G17, 60G18.

Fuzzy approximate continuity

Approximately continuous functions were first introduced in connection with problems of differentiation and integration. The main idea of the approximate continuity of a function f is that the continuity conditions are true not necessarily everywhere but only almost everywhere with respect to some measure, e.g., Borel measure or Lebesgue measure. At the same time, it is known that functions tha...

Approximate Continuity for Functional, Triangular Bézier Patches

In this paper, we investigate a relaxation of the C continuity conditions between functional, triangular Bézier patches, allowing for patches to meet approximately C. We analyze the cross boundary continuity of functional triangular Bézier patches, and derive a bound for the discontinuity in the normals between two patches based on their control points. We test our discontinuity bound on a simp...