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1.
  • Kalybay, Aigerim A., et al. (author)
  • A New discrete Hardy-type inequality with kernels and monotone functions
  • 2015
  • In: Journal of inequalities and applications. - : Springer Science and Business Media LLC. - 1025-5834 .- 1029-242X.
  • Journal article (peer-reviewed)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. (author)
  • Three weights higher order Hardy type inequalities
  • 2006
  • In: Journal of Function Spaces and Applications. - : Hindawi Limited. - 0972-6802 .- 1758-4965. ; 4:2, s. 163-191
  • Journal article (peer-reviewed)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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