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Further results on positively homogeneous subadditive functions by using Csiszár f-divergence
In this paper, motivated by Kluza and Niezgoda (Math Inequal Appl 21(2):455–467, 2018) and Marinescu et al. (J Math Inequal 7:151–159, 2013), we...
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Inequalities
It is said that high school algebra is characterized by equalities, whereas college and more advanced mathematics, inequalities. One may argue that,...
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Half-linear dynamic equations and investigating weighted Hardy and Copson inequalities
In this paper, we employ some algebraic equations due to Hardy and Littlewood to establish some conditions on weights in dynamic inequalities of...
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Endpoint Sobolev Inequalities for Vector Fields and Cancelling Operators
The injectively elliptic vector differential operators...
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Mixed Sobolev-like inequalities in Lebesgue spaces of variable exponents and in Orlicz spaces
In this short article we show a particular version of the Hedberg inequality which can be used to derive, in a very simple manner, functional...
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Trudinger–Moser Inequalities on a Closed Riemann Surface with a Symmetric Conical Metric
This is a continuation of our previous work ( Ann. Sc. Norm. Super. Pisa Cl. Sci. , 20 , 1295–1324, 2020). Let (Σ, g ) be a closed Riemann surface, where...
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Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes
We prove the uniform oscillation and jump inequalities for the polynomial ergodic averages modeled over multi-dimensional subsets of primes. This is...
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Sharp Anisotropic Hardy–Littlewood Inequality for Positive Multilinear Forms
Using elementary techniques, we obtain the optimal anisotropic Hardy–Littlewood inequalities for positive multilinear forms. In particular, we...
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On the improvements of Hardy and Copson inequalities
In this current work, we revisit the recent improvements of the discrete Hardy’s inequality in one dimension and establish an extended improved...
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Stein–Weiss inequalities on Morrey spaces
In 2019, Salim et al. proved the beyond Adams type inequality for fractional integral operator with some restrictions on the domain. Now, we revisit...
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A Dual Yamabe Flow and Related Integral Flows
The author studies a family of nonlinear integral flows that involve Riesz potentials on Riemannian manifolds. In the Hardy-Littlewood-Sobolev (HLS...
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Log-majorization Type Inequalities
Several inequalities have been established in the context of Hilbert spaces operators or operator algebras. Our discussion will be limited to...