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- Kalybay, Aigerim A., et al.
(författare)
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A New discrete Hardy-type inequality with kernels and monotone functions
- 2015
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Ingår i: Journal of inequalities and applications. - : Springer Science and Business Media LLC. - 1025-5834 .- 1029-242X.
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Tidskriftsartikel (refereegranskat)abstract
- new discrete Hardy-type inequality with kernels and monotone functions is proved for the case \(1< q< p<\infty\). This result is discussed in a general framework and some applications related to Hölder’s summation method are pointed out.
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- Kalybay, Aigerim A., et al.
(författare)
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Three weights higher order Hardy type inequalities
- 2006
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Ingår i: Journal of Function Spaces and Applications. - : Hindawi Limited. - 0972-6802 .- 1758-4965. ; 4:2, s. 163-191
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Tidskriftsartikel (refereegranskat)abstract
- We investigate the following three weights higher order Hardy type inequality (0.1) ‖g‖q,u≤ C‖Dρkg‖p,v where Dρi denotes the following weighted differential operator: {dig(t)dti,i=0,1,...,m−1,di−mdti−m(p(t)dmg(t)dtm),i=m,m+1,...,k, for a weight function ρ(⋅). A complete description of the weights u, v and ρ so that (0.1) holds was given in [4] for the case 1
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