This article is cited in 4 papers

Hardy-type inequalities for the fractional integral operator in $q$-analysis

S. Shaimardan

Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 2 Satpayev St, 010000 Astana, Kazakhstan

Abstract: We obtain necessary and sufficient conditions for the validity of a certian Hardy-type inequality involving $q$-integrals.

Keywords and phrases: Hardy-type inequalities, integral operator, $q$-analysis, $q$-integral.

MSC: 26D10, 26D15, 33D05, 39A13

Received: 20.11.2015

Language: English

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