Results 91 to 100 of about 77,305 (216)
In this paper, by introducing a general homogeneous kernel function and several parameters, we establish a new Hardy–Hilbert-type integral inequality involving two derivative functions of higher-order.
Bicheng Yang, Shanhe Wu, Xianyong Huang
doaj +1 more source
Hardy–Sobolev interpolation inequalities
AbstractWe derive a family of interpolation estimates which improve Hardy’s inequality and cover the Sobolev critical exponent. We also determine all optimizers among radial functions in the endpoint case and discuss open questions on nonrestricted optimizers.
Charlotte Dietze, Phan Thành Nam
openaire +3 more sources
Before It Was ‘New’: A Neglected History of Lived Experience–Led Criminal Justice
ABSTRACT A growing range of criminal justice initiatives are being shaped and delivered by people with lived experience, including peer mentoring, prisoner councils and policy advocacy roles. While often seen as recent innovations, we reveal a deeper, largely unacknowledged history dating back to at least the 19th century.
Gillian Buck +2 more
wiley +1 more source
Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
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Abstract New technology is changing the skills that employers demand and the tasks that employees perform. Technological change is therefore increasing the need for continuing vocational training. However, little is known about the association between technology introduction, employees' job tasks and continuing training participation in firms ...
Myriam Baum
wiley +1 more source
On Some Extensions of Hardy-Hilbert's Inequality and Applications
By introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.
Laith Emil Azar
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In this paper, by using the techniques of real analysis, with the help of the Euler–Maclaurin summation formula, Abel’s summation by parts formula, and the differentiation mid-value theorem, we establish a half-discrete Hardy–Mulholland-type inequality ...
Bicheng Yang, Shanhe Wu, Jianquan Liao
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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 +6 more
wiley +1 more source
On Hilbert's Inequality for Double Series and Its Applications
This study shows that a refinement of the Hilbert inequality for double series can be established by introducing a real function u(x) and a parameter λ.
Zhou Yu, Gao Mingzhe
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Improved Multipolar Hardy Inequalities
In this paper we prove optimal Hardy-type inequalities for Schrodinger operators with positive multi-singular inverse square potentials of the form $$A_{\lambda } := -\Delta- \lambda \displaystyle\sum _{1\leq i 0.$$ More precisely, we show that A λ is nonnegative in the sense of L 2 quadratic forms in \({\mathbb{R}}^{N}\), if and only if ...
Cristian Cazacu, Enrique Zuazua
openaire +1 more source

