Results 21 to 30 of about 481,631 (129)

On Some Generalizations of Hardy's Integral Inequality

open access: yes, 1999
In this paper we establish some new generalizations of the Hardy's inequality by using a fairly elementary analysis. The inequalities given here contain in the special cases, some of the recent generalizations of Hardy's integral inequality appearing in ...
Pachpatte, B.G.
core   +1 more source

Some Hardy's inequalities on conformable fractional calculus

open access: yesDemonstratio Mathematica
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada   +5 more
doaj   +1 more source

Some new scales of characterization of Hardy’s inequality; pp. 7–18 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2010
Let 1 lt; p ≤ q lt; ∞. Inspired by some recent results concerning Hardy-type inequalities where the equivalence of four scales of integral conditions was proved, we use related ideas to find ten new equivalence scales of integral conditions.
Amiran Gogatishvili   +2 more
doaj   +1 more source

Large parameter asymptotic analysis for homogeneous normalized random measures with independent increments

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
wiley   +1 more source

Hardy's Inequality in Several Variables

open access: yes, 2000
We extend Hardy's discrete inequality to multiple series. For an r-fold series the correct constant is (cp)r, where cp is the constant in Hardy's original theorem.
Salem, Sh.   +2 more
core   +1 more source

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

open access: yesCorporate 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   +2 more
wiley   +1 more source

A generalization of some integral inequalities similar to Hardy inequality on time scales

open access: yesKuwait Journal of Science
In this paper, we prove some new dynamic inequalities similar to Hardy's inequality on time scales T. The results as special cases when T = R contain continuous inequalities similar to Hardy's inequality, and when T = Z, the results contain discrete ...
Wafy M. Hasan   +3 more
doaj   +1 more source

Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential

open access: yesAbstract and Applied Analysis, 2012
We discuss the asymptotic behavior of solutions for semilinear parabolic equations on the Heisenberg group with a singular potential. The singularity is controlled by Hardy's inequality, and the nonlinearity is controlled by Sobolev's inequality. We also
Houda Mokrani, Fatimetou Mint Aghrabatt
doaj   +1 more source

A Kantorovich Version of Bernstein‐Type Logarithmic Operators

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we introduce a Kantorovich version of the Bernstein‐type logarithmic operators. The idea comes from the wide literature concerning exponential polynomials that preserve exponential functions: here, the exponential weights are replaced by logarithmic ones and the corresponding operators preserve the logarithmic functions.
Laura Angeloni   +2 more
wiley   +1 more source

Hardy's inequality on exterior domains

open access: yes, 2005
Let Ω be a smooth exterior domain in ℝN and 1 < p < ∞. We prove that when p ≠ N, Hardy's LP inequality is valid on D01,p(Ω).
Chabrowski, J   +3 more
core   +1 more source

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