Results 1 to 10 of about 481,631 (129)
The refinement and generalization of Hardy’s inequality in Sobolev space [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we refine the proof of Hardy’s inequality in (Evans in Partial Differential Equations, 2010, Hardy in Inequalities, 1952) and extend Hardy’s inequality from two aspects. That is to say, we extend the integral estimation function from u|x| $
Xiaomin Xue, Fushan Li
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New Strengthened Carleman's Inequality and Hardy's Inequality [PDF]
Journal of Inequalities and Applications, 2007 In this note, new upper bounds for Carleman's inequality and Hardy's inequality are established.
Ling Zhu, Haiping Liu
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On Carleson’s inequality [PDF]
Journal of Inequalities and Applications, 2018 We present a new proof of Hardy’s inequality by giving an Lp $L^{p}$ version of Carleson’s inequality.
Ern Gun Kwon
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Some new generalizations of Hardy's integral inequality
International Journal of Mathematics and Mathematical Sciences, 2006 We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.
S. K. Sunanda, C. Nahak, S. Nanda
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Hardy-type inequalities in fractional h-discrete calculus [PDF]
Journal of Inequalities and Applications, 2018 The first power weighted version of Hardy’s inequality can be rewritten as ∫0∞(xα−1∫0x1tαf(t)dt)pdx≤[pp−α−1]p∫0∞fp(x)dx,f≥0,p≥1 ...
Lars-Erik Persson +2 more
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Generalizations of Hardy Type Inequalities by Abel–Gontscharoff’s Interpolating Polynomial
Mathematics, 2021 In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds for the generalized Hardy’s inequality are given with some applications.
Kristina Krulić Himmelreich +3 more
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Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions
Axioms, 2023 In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Kristina Krulić Himmelreich +3 more
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Ground states of coupled critical Choquard equations with weighted potentials [PDF]
Opuscula Mathematica, 2022 In this paper, we are concerned with the following coupled Choquard type system with weighted potentials \[\begin{cases} -\Delta u+V_{1}(x)u=\mu_{1}(I_{\alpha}\!\ast\![Q(x)|u|^{\frac{N+\alpha}{N}}])Q(x)|u|^{\frac{\alpha}{N}-1}u+\beta(I_{\alpha}\!\ast\![Q(
Gaili Zhu +3 more
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Synchronization Analysis of Multiple Integral Inequalities Driven by Steklov Operator
Fractal and Fractional, 2021 We construct a subclass of Copson’s integral inequality in this article. In order to achieve this goal, we attempt to use the Steklov operator for generalizing different inequalities of the Copson type relevant to the situations ρ>1 as well as ...
Wedad Albalawi, Zareen A. Khan
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Factorization of Cesàro operator and related inequalities
Journal of Inequalities and Applications, 2021 In this paper, we introduce two factorizations for the Cesàro matrix of order n based on Cesàro and gamma matrices. The results of these factorizations are new inequalities, one of which is a generalized version of the well-known Hardy’s inequality ...
Hadi Roopaei
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