Geodesic
Hardy-type inequalities for the fractional integral operator in $q$-analysis
Eurasian mathematical journal, Tome 7 (2016) no. 1, pp. 84-99.

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We obtain necessary and sufficient conditions for the validity of a certian Hardy-type inequality involving $q$-integrals. 
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S. Shaimardan. Hardy-type inequalities for the fractional integral operator in $q$-analysis. Eurasian mathematical journal, Tome 7 (2016) no. 1, pp. 84-99. http://geodesic.mathdoc.fr/item/EMJ_2016_7_1_a6/

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