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E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES

open access: yesПроблемы анализа, 2020
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
doaj   +1 more source

Local Fractional Integral Hölder-Type Inequalities and Some Related Results

open access: yesFractal and Fractional, 2022
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
doaj   +1 more source

Unified treatment of fractional integral inequalities via linear functionals [PDF]

open access: yes, 2016
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
core   +2 more sources

The fractional Fisher information and the central limit theorem for stable laws [PDF]

open access: yes, 2015
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
core   +1 more source

The fractional Makai–Hayman inequality

open access: yesAnnali di Matematica Pura ed Applicata (1923 -), 2022
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.
openaire   +3 more sources

Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]

open access: yes, 2009
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
core   +3 more sources

A note on the fractional perimeter and interpolation [PDF]

open access: yes, 2017
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
core   +3 more sources

Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities

open access: yesMathematical and Computer Modelling, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarıkaya, Mehmet Zeki   +3 more
openaire   +1 more source

Generalized proportional fractional integral functional bounds in Minkowski’s inequalities

open access: yesAdvances in Difference Equations, 2021
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
doaj   +1 more source

Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function

open access: yesJournal of Mathematics, 2020
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
doaj   +1 more source

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