δ may depend on ε and ƒ. For pointwise equicontinuity, δ may depend on ε and x0. For uniform equicontinuity, δ may depend only on ε. More generally,...

in Probability and Stochastic Equicontinuity" (PDF). 30 August 2010. Hagemann, Andreas (2014). "Stochastic equicontinuity in nonlinear time series models"...

interval has a uniformly convergent subsequence. The main condition is the equicontinuity of the family of functions. The theorem is the basis of many proofs...

In mathematics, especially functional analysis, a bornology B {\displaystyle {\mathcal {B}}} on a vector space X {\displaystyle X} over a field K , {\displaystyle...

{\displaystyle B} ). However, it has been shown that equitightness and equicontinuity imply this property. For a subset B {\displaystyle B} of L p ( Ω ) {\displaystyle...

extremum estimator), then a more complicated argument involving stochastic equicontinuity has to be used. An estimator can be unbiased but not consistent. For...

In mathematics, a linear form (also known as a linear functional, a one-form, or a covector) is a linear map from a vector space to its field of scalars...

operator K on function spaces; the compactness property is shown by equicontinuity. The method of approximation by finite-rank operators is basic in the...

kernel K yields a compact operator. Compactness may be shown by invoking equicontinuity. As an operator, it has a spectral theory that can be understood in...

domains. Continuity (mathematics) Absolute continuity Dini continuity Equicontinuity Geometric continuity Parametric continuity Classification of discontinuities...