Hardy-type inequalities for matrix operators
| dc.contributor.author | Shaimardan, S. | |
| dc.contributor.author | Shalgynbaeva, S. | |
| dc.date.accessioned | 2018-04-19T10:27:33Z | |
| dc.date.available | 2018-04-19T10:27:33Z | |
| dc.date.issued | 2017-12-29 | |
| dc.description.abstract | We establish necessary and sufficient conditions the validity of the discrete Hardy-type inequality with 0 < p ≤ q < ∞ and 0 < p ≤ 1, where the matrices (ai,j ) is an arbitrary matrix and the entries of the matrix (ai,j ) ≥ 0 such that ai,j is non-increasing in the second index. Also some further results are pointed out on the cone of monotone sequences. Moreover, we give that the applications of the main results for the non-negative and triangular matrices (ai,j ≥ 0 for 1 ≤ j ≤ i and ai,j = 0 for i < j). | ru_RU |
| dc.identifier.citation | Shaimardan S. Hardy-type inequalities for matrix operators/ S.Shaimardan, S.Shalgynbaeva//Қарағанды ун-тінің хабаршысы. Математика сер.=Вестник Караганд.ун-та=Bulletin of the Karaganda university.-2017.-№4(88).-Р.63-72 | ru_RU |
| dc.identifier.issn | 2518-7929 | |
| dc.identifier.uri | https://rep.buketov.edu.kz/handle/data/2650 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Publ.KarSU | ru_RU |
| dc.relation.ispartofseries | Қарағанды ун-тінің хабаршысы. Математика сер.=Вестник Караганд.ун-та. Серия Математика=Bulletin of the Karaganda university. Mathematics Series;№4(88) | |
| dc.subject | inequality | ru_RU |
| dc.subject | weighted sequences | ru_RU |
| dc.subject | matrix operators | ru_RU |
| dc.subject | integral | ru_RU |
| dc.title | Hardy-type inequalities for matrix operators | ru_RU |
| dc.title.alternative | Матрицалық операторлар yшiн Харди типтес теңсiздiктер | ru_RU |
| dc.title.alternative | Неравенства типа Харди для матричных операторов | ru_RU |
| dc.type | Article | ru_RU |