Results 41 to 50 of about 2,489 (256)

On Necessary Condition for the Variable Exponent Hardy Inequality [PDF]

, 2012
We derive a necessary condition for exponent functions , such that the variable exponent Hardy inequality ‖()−1∫0()‖(.)(0,)≤‖()‖(.)(0 ...
Harman, Aziz, Aziz Harman
core   +1 more source

On Hardy's Inequality

Journal of Mathematical Analysis and Applications, 1999
The following result is proved: Let \(0< b_{n+1}\leq b_n\), \(B_n= \sum^n_{k= 1}b_k\), \(a_n\geq 0\), \(0< \sum^\infty_{n=1} b_na_n< \infty\). Then \[ \sum^\infty_{n= 1} b_{n+ 1}(a^{b_1}_1\cdots a^{b_n}_n)^{1/B_n}< e \sum^\infty_{n= 1} \Biggl[1- {b_n\over 2(B_n+ b_n)}\Biggr] b_na_n.
openaire   +2 more sources

On a Discrete Version of the Hardy–Littlewood–Polya Inequality Involving Multiple Parameters in the Whole Plane

Mathematics
In this paper, by introducing multiple parameters, we establish a discrete version of the Hardy–Littlewood–Polya inequality in the whole plane. For the obtained inequality, we give the equivalent statements of the best possible constant factor linked to ...
Bicheng Yang, Shanhe Wu
doaj   +1 more source

Symmetry of standing waves for two kinds of fractional Hardy-Schrödinger equations

Alexandria Engineering Journal, 2021
In this paper, we consider two kinds of nonlinear Schrödinger equations with the fractional Laplacian and Hardy potential (λ|x|s ...
Guotao Wang, Xueyan Ren, Lihong Zhang, Bashir Ahmad   +3 more
doaj   +1 more source

A curl-free improvement of the Rellich–Hardy inequality with weight

Advanced Nonlinear Studies
We consider the sharpness of functional inequality which we call Rellich–Hardy inequality with power weight for curl-free vector fields on RN ${\mathbb{R}}^{N}$ .
Hamamoto Naoki, Takahashi Futoshi
doaj   +1 more source

An Improved Version of the Parameterized Hardy–Hilbert Inequality Involving Two Partial Sums

Mathematics
In this paper, by employing the Euler–Maclaurin summation formula and real analysis techniques, an improved version of the parameterized Hardy–Hilbert inequality involving two partial sums is established.
Bicheng Yang, Shanhe Wu
doaj   +1 more source

On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

Advances in Nonlinear Analysis, 2021
We study the wave inequality with a Hardy ...
Jleli Mohamed, Samet Bessem, Vetro Calogero   +2 more
doaj   +1 more source

Change of variable and discrete Hardy inequality

, 2023
For absolutely convergent series we state explicitly a one-sided summation estimate that can be viewed as the discrete analogue of the change of variable formula on the half line.
Huang, Yi C.
core   +1 more source

Digital Technology's Role in Circular Waste Management: A Systematic Review

Business Strategy and the Environment, EarlyView.
ABSTRACT Combining circular economy ideas with digital tools offers a game‐changing way to tackle global sustainability problems. This paper focuses on how digital changes and circular economy models link up. A review has been conducted for 112 articles from 2021 to September 2025, using PRISMA‐2020 methodology. This study covered new tech like AI, IoT,
Reza Eslamipoor
wiley   +1 more source

Harmonizing Social Impact Assessment in the Bioeconomy: A Cross‐Regional Fuzzy‐Delphi Approach

Corporate Social Responsibility and Environmental Management, EarlyView.
ABSTRACT The bioeconomy transition risks underrepresenting social sustainability, while existing Social Life Cycle Assessment (S‐LCA) applications remain insufficient for comparison and decision support due to heterogeneous and non‐standardized selection of social impact categories. This study proposes a cross‐regional baseline set of impact categories
Julia Lessa Feitosa Virgolino, Claudia Coutinho‐Nóbrega, Nicholas M. Holden   +2 more
wiley   +1 more source