AbstractIn this work, with the introduction in the σ-finite case of a modulus of equi-integrability, we prove some new extensions of Fatou’s lemma and some of its consequences in the convergence theory of integral functionals. We present the case of a sequence of integral functionals using an analog of Ioffe’s criterion for a sequence of integrands
For ψâ̂̂W1,p(Ω;Rm) and gâ̂̂W-1,p(Ω;Rd), 1<p<+, we consider a sequence of integral functionals Fkψ,g:...
summary:Given a modulus of continuity $\omega$ and $q \in[1, \infty[ $ then $H_q^\omega$ denotes the...
Abstract Given a sequence ...
AbstractIn this work, with the introduction in the σ-finite case of a modulus of equi-integrability,...
Brezis–Lieb lemma is an improvement of Fatou Lemma that evaluates the gap between the integral of a ...
A general lower semicontinuity theorem, in which not only mappings u(M) and P-M but also the integra...
AbstractIn this paper, we prove Fatou-type results for the set of Bochner integrable selections from...
summary:For the Kurzweil-Henstock integral the equiintegrability of a pointwise convergent sequence ...
Abstract Given a sequence { f n } n ∈ N $\{f_{n}\}_{n \in \mathbb {N}}$ of measurable functions on a...
The purpose of this paper is to present Fatou type results for a sequence of Pettis integrable funct...
In this paper we give necessary and sufficient conditions for the convergence of Kurzweil–Stieltjes ...
We provide some limit theorems for sequences of Riemann–Lebesgue integrable functions. More precisel...
AbstractConsider a Banach function space X(μ) of (classes of) locally integrable functions over a σ-...
AbstractBy a general method, based on weak convergence of transition probabilities, new infinite-dim...
We study the integral representation properties of limits of sequences of integral functionals like ...
For ψâ̂̂W1,p(Ω;Rm) and gâ̂̂W-1,p(Ω;Rd), 1<p<+, we consider a sequence of integral functionals Fkψ,g:...
summary:Given a modulus of continuity $\omega$ and $q \in[1, \infty[ $ then $H_q^\omega$ denotes the...
Abstract Given a sequence ...
AbstractIn this work, with the introduction in the σ-finite case of a modulus of equi-integrability,...
Brezis–Lieb lemma is an improvement of Fatou Lemma that evaluates the gap between the integral of a ...
A general lower semicontinuity theorem, in which not only mappings u(M) and P-M but also the integra...
AbstractIn this paper, we prove Fatou-type results for the set of Bochner integrable selections from...
summary:For the Kurzweil-Henstock integral the equiintegrability of a pointwise convergent sequence ...
Abstract Given a sequence { f n } n ∈ N $\{f_{n}\}_{n \in \mathbb {N}}$ of measurable functions on a...
The purpose of this paper is to present Fatou type results for a sequence of Pettis integrable funct...
In this paper we give necessary and sufficient conditions for the convergence of Kurzweil–Stieltjes ...
We provide some limit theorems for sequences of Riemann–Lebesgue integrable functions. More precisel...
AbstractConsider a Banach function space X(μ) of (classes of) locally integrable functions over a σ-...
AbstractBy a general method, based on weak convergence of transition probabilities, new infinite-dim...
We study the integral representation properties of limits of sequences of integral functionals like ...
For ψâ̂̂W1,p(Ω;Rm) and gâ̂̂W-1,p(Ω;Rd), 1<p<+, we consider a sequence of integral functionals Fkψ,g:...
summary:Given a modulus of continuity $\omega$ and $q \in[1, \infty[ $ then $H_q^\omega$ denotes the...
Abstract Given a sequence ...
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