Results 81 to 90 of about 235 (196)

A family of equivalent norms for Lebesgue spaces

, 2021
If ψ: [0 , l] → [0 , ∞[is absolutely continuous, nondecreasing, and such that ψ(l) > ψ(0) , ψ(t) > 0 for t> 0 , then for f∈ L1(0 , l) , we have ‖f‖1,ψ,(0,l):=∫0lψ′(t)ψ(t)2∫0tf∗(s)ψ(s)dsdt≈∫0l|f(x)|dx=:‖f‖L1(0,l),(∗)where the constant in ≳ depends on ψ ...
Fiorenza A., Jain P.
core   +1 more source

Generalized dynamic inequalities similar to Hardy’s inequality involving a convex function on time scales

Mathematical Modelling and Analysis
In this paper, we establish some new generalizations of dynamic inequalities similar to Hardy's inequality on a time scale $\mathbb{T}$, by applying Jensen's inequality, integration by parts and chain rule on time scales. In particular, when $\mathbb{T}=
Ahmed I. Saied, Mario Krnić
doaj   +1 more source

Fostering Inclusive Excellence—School Leaders' Perceptions of Leadership and Developing an Inclusive School Culture in Finland

European Journal of Education, Volume 61, Issue 3, September 2026.
ABSTRACT Although education policies aim to foster an inclusive school culture, progress has been slow. In Finland, the role of school leadership is particularly significant in inclusive school development, as governance and decision‐making are decentralised and largely managed at the local level.
Jukka Vetoniemi, Eija Kärnä
wiley   +1 more source

What should have happened if Hardy had discovered this? [PDF]

, 2012
First we present and discuss an important proof of Hardy’s inequality via Jensen’s inequality which Hardy and his collaborators did not discover during the 10 years of research until Hardy finally proved his famous inequality in 1925.
Natasha Samko, Lars-Erik Persson, Samko, N, Samko, Natasha,, Persson, Lars Erik, Persson, Lars-Erik,   +5 more
core   +1 more source

Occupational resilience: Scoping review of conceptualisations and applications in contexts of adversity

Australian Occupational Therapy Journal, Volume 73, Issue 4, August 2026.
Abstract Introduction Occupational resilience has emerged as a construct that links the capacity to face adversity with the role of meaningful occupations in the adaptation and recovery of individuals, groups, and communities. However, its definition, theoretical frameworks, and applications remain heterogeneous and partial.
Gema Puig‐Esteve, Rodolfo Morrison
wiley   +1 more source

Longitudinal associations between violence exposure and adolescent conduct problems in a high‐adversity, South African setting

Journal of Child Psychology and Psychiatry, Volume 67, Issue 8, Page 1244-1253, August 2026.
Background Violence exposure is a well‐established risk factor for adolescent conduct problems, yet longitudinal research in high‐adversity, low‐ and middle‐income countries (LMICs) remains limited. This study investigated whether early adolescent violence exposure predicts concurrent and longer‐term conduct problems, and explored potential ...
Susan Swingler, Qing Han, Alexis E. Cullen, Stefani du Toit, Sarah Skeen, Jane Barlow, Mark Tomlinson   +6 more
wiley   +1 more source

Scaling and variants of Hardy’s inequality

, 2019
The two related one space dimensional singular linear parabolic equations (1), (2) studied by H. Brezis et al. [Comm. Pure Appl. Math. 24 (1971), pp. 395–416] have different scaling properties.
Mininni, Rosa Maria, Goldstein, Giséle Ruiz, Goldstein, Jerome A., Romanelli, And Silvia   +3 more
core   +1 more source

Breaking barriers: Enhancing access to dementia clinical trials in the United Kingdom—Insights from the Scientific Advisory Board of the Dame Barbara Windsor Dementia Goals Programme

Alzheimer's &Dementia, Volume 22, Issue 7, July 2026.
Abstract The Dame Barbara Windsor Dementia Goals Programme was launched by the UK Government to accelerate the development and delivery of new treatments for dementia. We present the recommendations from the Scientific Advisory Board, to enable timely access to therapies for the wider population, reducing health system burden while improving patient ...
Ruth M. McKernan, James B. Rowe, Sally John, Eric Karran, Helene A. Fachim, Sara Imarisio, Raj Long, Charlotte Teunissen, Sarah P. Slight, Catherine Mummery, John Hardy   +10 more
wiley   +1 more source

A Boxing inequality for the fractional perimeter

, 2020
We prove a fractional version of the Boxing inequality that involves the Hausdorff content \(\mathcal{H}^{d-\alpha}_\infty\). We then show how this estimate implies a trace inequality in the fractional Sobolev space \(W^{\alpha,1} (\mathbb{R}^d)\) that ...
Ponce, Augusto, Augusto C. Ponce, Daniel Spector   +2 more
core   +1 more source

Generalizations of Hilbert-type inequalities with a homogeneous kernel on time scales

Journal of Inequalities and Applications
This paper focuses on establishing new generalizations of Hilbert-type inequalities on arbitrary time scales. We present three main theorems on weighted integral inequalities involving a nonnegative homogeneous kernel.
Karim A. Mohamed, Haytham M. Rezk, Ahmed M. Ahmed, Belal A. Glalah   +3 more
doaj   +1 more source