Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

The search session has expired. Please query the service again.

Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

Approximate and $L^{p}$ Peano derivatives of nonintegral order

J. Marshall Ash; Hajrudin Fejzić — 2005

Studia Mathematica

Let n be a nonnegative integer and let u ∈ (n,n+1]. We say that f is u-times Peano bounded in the approximate (resp. $L^{p}$ , 1 ≤ p ≤ ∞) sense at $x \in ℝ^{m}$ if there are numbers $f_{α} (x)$ , |α| ≤ n, such that $f (x + h) - \sum_{| α | \leq n} f_{α} (x) h^{α} / α!$ is $O (h^{u})$ in the approximate (resp. $L^{p}$ ) sense as h → 0. Suppose f is u-times Peano bounded in either the approximate or $L^{p}$ sense at each point of a bounded measurable set E. Then for every ε > 0 there is a perfect set Π ⊂ E and a smooth function g such that the Lebesgue measure of E∖Π is less than ε and f = g on Π....

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 4 of 4

Approximate and $L^{p}$ Peano derivatives of nonintegral order

Very Slowly Varying Functions. (Short Communications).

Very Slowly Varying Functions.

A multidimensional Taylor's theorem with minimal hypothesis

Advanced Search

Formula preview

Currently displaying 1 – 4 of 4

Approximate and L p Peano derivatives of nonintegral order

Very Slowly Varying Functions. (Short Communications).

Very Slowly Varying Functions.

A multidimensional Taylor's theorem with minimal hypothesis

Approximate and $L^{p}$ Peano derivatives of nonintegral order