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E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES
Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
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Local Fractional Integral Hölder-Type Inequalities and Some Related Results
This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang.
Guangsheng Chen +3 more
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Unified treatment of fractional integral inequalities via linear functionals [PDF]
In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea +2 more
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The fractional Fisher information and the central limit theorem for stable laws [PDF]
A new information-theoretic approach to the central limit theorem for stable laws is presented. The main novelty is the concept of relative fractional Fisher information, which shares most of the properties of the classical one, included Blachman-Stam ...
Toscani, Giuseppe
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The fractional Makai–Hayman inequality
AbstractWe prove that the first eigenvalue of the fractional Dirichlet–Laplacian of orderson a simply connected set of the plane can be bounded from below in terms of its inradius only. This is valid for$$1/2<s<1$$1/2<s<1and we show that this condition is sharp, i.e., for$$0<s\le 1/2$$0<s≤1/2such a lower bound is not possible.
Bianchi F., Brasco L.
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Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]
In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral ...
Gorosito, Osvaldo +2 more
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A note on the fractional perimeter and interpolation [PDF]
We present the fractional perimeter as a set-function interpolation between the Lebesgue measure and the perimeter in the sense of De Giorgi. Our motivation comes from a new fractional Boxing inequality that relates the fractional perimeter and the ...
Ponce, Augusto C., Spector, Daniel
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Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarıkaya, Mehmet Zeki +3 more
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Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type
Gauhar Rahman +3 more
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