Results 71 to 80 of about 1,312 (132)

An improved Hardy type inequality on Heisenberg group

Journal of Inequalities and Applications, 2011
Motivated by the work of Ghoussoub and Moradifam, we prove some improved Hardy inequalities on the Heisenberg group ℍ n via Bessel function.
Xiao Ying-Xiong
doaj  

On the Perturbed Trapezoid Formula [PDF]

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

New generalization fractional inequalities of Ostrowski-Gr\"uss type

, 2012
In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type.
Sarikaya, Mehmet Zeki, Yaldiz, Hatice
core   +1 more source

$L_p$-Bounds for the \v{C}eby\v{s}ev functional

, 2023
In this paper several new bounds for the \v{C}eby\v{s}ev functional involving $L_p$-norm are presented.Comment: This work contains inaccurate results. Some results do not hold.
Alomari, Mohammad W.
core  

Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

Open Mathematics
In this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
doaj   +1 more source

Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version [PDF]

, 2005
Mathematics Subject Classification: 26D10.The sharp constant is obtained for the Hardy-Stein-Weiss inequality for fractional Riesz potential operator in the space L^p(R^n, ρ) with the power weight ρ = |x|^β.
Samko, Stefan
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On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source

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

On some integral inequalities for s-geometrically convex functions and their applications [PDF]

, 2012
In this paper, we establish three inequalities for differentiable s-geometrically and geometrically convex functions which are connected with the famous Hermite-Hadamard inequality holding for convex functions.
Tunc, Mevlut
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Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results

Annales Mathematicae Silesianae
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
Bombardelli Mea, Varošanec Sanja
doaj   +1 more source