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Some difference inequalities with weights and interpolation

Some difference inequalities with weights and interpolation

The well-known Grisvard-Jakovlev inequality (see Theorems 1 and 1 ) can be interpreted as a fractional order Hardy inequality or as a weighted difference inequality.Some inequalities of this type have been recently proved and discussed by the authors and H. Heinig, and this paper coincides mostly with a lecture held …