Results 21 to 30 of about 1,761,784 (288)

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

Random fractional Fourier transform : stochastic perturbations along the axis of propagation [PDF]

open access: yes, 1999
The fractional Fourier transform (FRT) is known to be optically implementable with use of a medium with a perfect radial quadratic-index profile. Using the quantum-mechanical operator formalism, we examine the effects on the FRT action of such a medium
Abe, Sumiyoshi, Sheridan, John T.
core   +1 more source

Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel

open access: yesJournal of Mathematics, 2021
The major purpose of this paper is to use the fractional integral operator in terms of extended generalized Bessel function to estimate new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions.
Arshad Hussain   +4 more
doaj   +1 more source

Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications

open access: yesFractal and Fractional, 2023
The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
doaj   +1 more source

Linear Fractional Transformations of Nevanlinna Functions Associated with a Nonnegative Operator [PDF]

open access: yes, 2011
In the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space.
Winkler, Henrik,   +15 more
core   +2 more sources

New Modifications of Integral Inequalities via ℘-Convexity Pertaining to Fractional Calculus and Their Applications

open access: yesMathematics, 2021
Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator.
Saima Rashid   +3 more
doaj   +1 more source

On asymptotic behaviour at infinity and the finite section for integral equations on the half-line [PDF]

open access: yes, 1994
We consider integral equations on the half-line of the form and the finite section approximation to x obtained by replacing the infinite limit of integration by the finite limit β.
Chandler-Wilde, SN
core   +6 more sources

Some results on quantum Hahn integral inequalities

open access: yesJournal of Inequalities and Applications, 2019
In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit   +3 more
doaj   +1 more source

Morrey spaces and fractional integral operators

open access: yesExpositiones Mathematicae, 2009
The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established.
Eridani   +2 more
openaire   +2 more sources

Fractional Integral Operators

open access: yes, 2023
equipped with a positive Radon measure .
openaire   +2 more sources

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