Results 31 to 40 of about 406 (187)
Paley and Hardy's inequalities for the Fourier-Dunkl expansions [PDF]
Purpose – Paley's and Hardy's inequality are proved on a Hardy-type space for the Fourier–Dunkl expansions based on a complete orthonormal system of Dunkl kernels generalizing the classical exponential system defining the classical Fourier series. Design/
Anis Elgarna
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A note on Hardy’s inequality [PDF]
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Chu, Yu-Ming, Xu, Qian, Zhang, Xiao-Ming
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Remarks on the hardy inequality
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R. Hurri–Syrjänen +1 more
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On an Inequality of H. G. Hardy [PDF]
We state, prove, and discuss new general inequality for convex and increasing functions. As a special case of that general result, we obtain new fractional inequalities involving fractional integrals and derivatives of Riemann-Liouville type. Consequently, we get the inequality of H. G. Hardy from 1918.
Sajid Iqbal +2 more
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Hardy's Inequality in Several Variables
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
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On Some Generalizations of Hardy's Integral Inequality
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.
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ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Harmonizing Social Impact Assessment in the Bioeconomy: A Cross‐Regional Fuzzy‐Delphi Approach
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
Hardy's inequality and its descendants:a probability approach [PDF]
We formulate and prove a generalization of Hardy’s inequality [27] in terms of random variables and show that it contains the usual (or familiar) continuous and discrete forms of Hardy’s inequality.
Wellner, J.A., Klaassen, C.A.J.
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A generalization of some integral inequalities similar to Hardy inequality on time scales
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
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