Results 71 to 80 of about 2,050 (154)

On New Inequalities for h-convex Functions via Riemann-Liouville Fractional Integration

, 2012
In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are ...
Tunc, Mevlut
core   +1 more source

The best constant in a fractional Hardy inequality [PDF]

arXiv, 2008
We prove an optimal Hardy inequality for the fractional Laplacian on the half-space.
arxiv  

Inequalities for a Weighted Multiple Integral [PDF]

, 1999
In the article, using Taylor's formula for functions of several variables, the author establishes some inequalities for the weighted multiple integral of a function defined on an m-dimensional rectangle, if its partial derivatives of (n + 1)-th order ...
Qi, Feng
core  

LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations

Demonstratio Mathematica
Generally, fractional partial integro-differential equations (FPIDEs) play a vital role in modeling various complex phenomena. Because of the several applications of FPIDEs in applied sciences, mathematicians have taken a keen interest in developing and ...
Khan Qasim, Khan Hassan, Kumam Poom, Tchier Fairouz, Singh Gurpreet   +4 more
doaj   +1 more source

Hardy's Inequality from a Logarithmic Caccioppoli Estimate [PDF]

arXiv, 2009
We give a simple proof of Hardy's inequality, based on the logarithmic Caccioppoli estimate for p-superharmonic functions in several variables.
arxiv  

On the Perturbed Trapezoid Formula [PDF]

, 2001
Some inequalities related to the perturbed trapezoid formula are given.
Barnett, Neil S, Dragomir, Sever S
core  

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators

Topological Algebra and its Applications, 2016
In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first ...
Set Erhan, Gözpinar Abdurrahman
doaj   +1 more source

Hermite-Hadamard's inequalities for prequasiinvex functions via fractional integrals [PDF]

arXiv, 2012
In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard type inequality for prequasiinvex functions via fractional integrals.
arxiv  

Trudinger–Moser type inequalities with logarithmic weights in fractional dimensions

Advanced Nonlinear Studies
The purpose of this paper is two-fold. First, we derive sharp Trudinger–Moser inequalities with logarithmic weights in fractional dimensions:  sup∫01w(r)u′(r)β+2dλα1/(β+2)≤1∫01eμα,θ,γuβ+2β+11−γdλθ 1 and γ = 1 are also be considered in this part to ...
Xue Jianwei, Zhang Caifeng, Zhu Maochun
doaj   +1 more source