Sentence examples for moduli of continuity from inspiring English sources

1.7 Operator Hölder functions: arbitrary moduli of continuity.

Clearly, both moduli of continuity satisfy the properties of the usual modulus of continuity.

end{aligned}We refer the reader to [5] for an analog of Theorem 1.7.2 for higher order moduli of continuity.

In the special case D = B n this was proved, for arbitrary moduli of continuity ω, in [3].

Also, we estimate the approximation order in terms of Peetre's K-functional and partial moduli of continuity.

Now, let us define the moduli of continuity of functions belonging to M ˜ q, λ or M ∘ q, λ.

In Section 3, the order of approximation is obtained with help of the partial moduli and continuity and Peetre's K-functional.

This event was the reality of continuity.

There was the whole concept of continuity.

It holds no possibility of continuity.

Indeed, the selectors seem to take their mantra of continuity, continuity, continuity to extremes.