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A new discrete Hardy-type inequality with kernels and monotone functions
(Peer reviewed, 2015-10-06)
A new discrete Hardy-type inequality with kernels and monotone functions is proved for the case 1<q<p<∞1<q<p<∞. This result is discussed in a general framework and some applications related to Hölder’s summation method are pointed out.
Time scale Hardy-type inequalities with ‘broken’ exponent p
(Peer reviewed, 2015-01-16)
In this paper, some new Hardy-type inequalities involving ?broken? exponents are derived on arbitrary time scales. Our approach uses both convexity and superquadracity arguments, and the results obtained generalize, complement and provide refinements of some known results in literature
Some new Hardy-type inequalities for Riemann-Liouville fractional q-integral operator
(Peer reviewed, 2015-09-24)
We consider the q-analog of the Riemann-Liouville fractional q-integral operator of order n∈Nn∈N. Some new Hardy-type inequalities for this operator are proved and discussed.