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Advances in Difference Equations, 2020 The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar +4 more
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Hypoelliptic functional inequalities [PDF]
, 2018 In this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent Lie groups.
Ruzhansky, Michael +1 more
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Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer [PDF]
, 2016 We study mixed weighted weak-type inequalities for families of functions, which can be applied to study classical operators in harmonic analysis. Our main theorem extends the key result from D. Cruz-Uribe, J.M. Martell and C.
Ombrosi, Sheldy, Perez, Carlos
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Stolarsky’s inequality with general weights [PDF]
Proceedings of the American Mathematical Society, 1995 Recently Stolarsky proved that the inquality ( ∗ ) ∫ 0 1 g ( x
Maligranda, Lech +2 more
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On weighted means and their inequalities
Journal of Inequalities and Applications, 2021 In (Pal et al. in Linear Multilinear Algebra 64(12):2463–2473, 2016), Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions.
Mustapha Raïssouli, Shigeru Furuichi
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On weighted Poincaré inequalities
Annales Academiae Scientiarum Fennicae Mathematica, 2013 The aim of this note is to show that Poincar inequalities imply corresponding weighted versions in a quite general setting. Fractional Poincar inequalities are considered, too. The proof is short and does not involve covering arguments.
Dyda, Bartlomiej, Kaßmann, Moritz
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Generalizations of Ostrowski type inequalities via Hermite polynomials
Journal of Inequalities and Applications, 2020 We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić +2 more
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Weighted Hardy inequalities beyond Lipschitz domains [PDF]
, 2012 It is a well-known fact that in a Lipschitz domain \Omega\subset R^n a p-Hardy inequality, with weight d(x,\partial\Omega)^\beta, holds for all u\in C_0^\infty(\Omega) whenever ...
Lehrbäck, Juha
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Weighted discrete Hardy's inequalities
Ukrains’kyi Matematychnyi Zhurnal, 2023 UDC 517.5 We give a short proof of a weighted version of the discrete Hardy inequality. This includes the known case of classical monomial weights with optimal constant. The proof is based on the ideas of the short direct proof given recently in [P. Lefèvre, Arch. Math. (Basel), <strong>114</strong>, № 2, 195–198 (2020)].
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Weighted inequalities for multivariable dyadic paraproducs [PDF]
, 2010 Using Wilson's Haar basis in $\R^n$, which is different than the usual tensor product Haar functions, we define its associated dyadic paraproduct in $\R^n$. We can then extend "trivially" Beznosova's Bellman function proof of the linear bound in $L^2(w)$
Chung, Daewon
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