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Weighted Nash Inequalities [PDF]
Revista Matemática Iberoamericana, 2010 Nash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov semigroups, hence to uniform bounds on their kernel densities.
Bakry, Dominique +3 more
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Weighted entropy: basic inequalities
Modern Stochastics: Theory and Applications, 2017 This paper represents an extended version of an earlier note [10]. The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-dependent, through the weight function.
Mark Kelbert, Izabella Stuhl, Yuri Suhov
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On weighted dyadic Carleson's inequalities
Journal of Inequalities and Applications, 2001 We give an alternate proof of weighted dyadic Carleson's inequalities which are essentially proved by Sawyer and Wheeden. We use the Bellman function approach of Nazarov and Treil.
Tachizawa K
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Weighted weak-type inequalities for generalized Hardy operators [PDF]
Journal of Inequalities and Applications, 2006 We characterize the pairs of weights for which the Hardy-Steklov-type operator applies into weak- , , assuming certain monotonicity conditions on , , and .
Martín-Reyes FJ +2 more
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New Integral Inequalities Relating to a General Integral Operators Through Monotone Functions [PDF]
Sahand Communications in Mathematical Analysis, 2022 Weighted integral inequalities for general integral operators on monotone positive functions with parameters $p$ and $q$ are established in [4]. The aim of this work is to extend the results to different cases of these parameters, in particular for ...
Bouharket Benaissa, Abdelkader Senouci
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Fractal and Fractional, 2021 In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom +3 more
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Weighted Exponential Inequalities [PDF]
gmj, 2001 Abstract Necessary and sufficient conditions on weight pairs are found for the validity of a class of weighted exponential inequalities involving certain classical operators. Among the operators considered are the Hardy averaging operator and its variants in one and two dimensions, as well as the Laplace transform.
Heinig, H. P., Kerman, R., Krbec, M.
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Iterated discrete Hardy-type inequalities with three weights for a class of matrix operators
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Iterated Hardy-type inequalities are one of the main objects of current research on the theory of Hardy inequalities. These inequalities have become well-known after study boundedness properties of the multidimensional Hardy operator acting from the ...
N.S. Zhangabergenova, A.M. Temirhanova
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On the weighted fractional integral inequalities for Chebyshev functionals
Advances in Difference Equations, 2021 The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman +4 more
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Refined Young Inequality and Its Application to Divergences
Entropy, 2021 We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also studied some properties on the difference between the weighted
Shigeru Furuichi, Nicuşor Minculete
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