SOME NEW HARDY TYPE INEQUALITIES IN q-ANALYSIS

作者：Baiarystanov A O^*; Persson L E; Shaimardan S; Temirkhanova A

来源：Journal of Mathematical Inequalities, 2016, 10(3): 761-781.

DOI：10.7153/jmi-10-62

• Inequalities. Hardy-type inequalities
• Riemann-Liouville operator
• integral operator
• q-analysis
• q-analog
• weights

We derive necessary and sufficient conditions (of Muckenhoupt-Bradley type) for the validity of q-analoas of (r,p)-weighted Hardy-type inequalities for all possible positive values of the parameters r and p. We also point out some possibilities to further develop the theory of hardy-type inequalities in this new direction.

• 出版日期2016-9