| 000 | 02986nlm1a2200517 4500 | ||
|---|---|---|---|
| 001 | 657462 | ||
| 005 | 20231030041512.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\23982 | ||
| 035 | _aRU\TPU\network\23965 | ||
| 090 | _a657462 | ||
| 100 | _a20180206a2017 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 135 | _adrcn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aClarkson’s inequalities for periodic Sobolev space _fI. V. Korytov |
|
| 203 |
_aText _celectronic |
||
| 300 | _aTitle screen | ||
| 320 | _a[References: p. 1155 (22 tit.)] | ||
| 330 | _aThe validity of Clarkson’s inequalities for periodic functions in the Sobolev space normed without the use of pseudodifferential operators is proved. The norm of a function is defined by using integrals over a fundamental domain of the function and its generalized partial derivatives of all intermediate orders. It is preliminarily shown that Clarkson’s inequalities hold for periodic functions integrable to some power p over a cube of unit measure with identified opposite faces. The work is motivated by the necessity of developing foundations for the functional-analytic approach to evaluating approximation methods. | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 461 |
_tLobachevskii Journal of Mathematics _d1998- |
||
| 463 |
_tVol. 38, iss. 6 _v[P. 1146–1155] _d2017 |
||
| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 610 | 1 | _aравномерные выпуклости | |
| 610 | 1 | _aединичные сферы | |
| 610 | 1 | _aбанахово пространство | |
| 610 | 1 | _aпространство Соболева | |
| 610 | 1 | _aгильбертово пространство | |
| 610 | 1 | _aфункциональное пространство | |
| 610 | 1 | _aобратное неравенство Минковского | |
| 610 | 1 | _aнеравенства Кларксона | |
| 610 | 1 | _auniform convexity of the unit sphere | |
| 610 | 1 | _aBanach space | |
| 610 | 1 | _aSobolev space | |
| 610 | 1 | _anon-Hilbert space | |
| 610 | 1 | _aperiodic function space | |
| 610 | 1 | _ainverse Minkowski inequality | |
| 610 | 1 | _acube of unit measure | |
| 610 | 1 | _aClarksons inequalities | |
| 700 | 1 |
_aKorytov _bI. V. _cmathematician _csenior lecturer of Tomsk Polytechnic University, candidate of physical and mathematical sciences _f1961- _gIgor Vitalievich _2stltpush _3(RuTPU)RU\TPU\pers\37384 |
|
| 712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет (ТПУ) _bФизико-технический институт (ФТИ) _bКафедра высшей математики и математической физики (ВММФ) _h139 _2stltpush _3(RuTPU)RU\TPU\col\18727 |
| 801 | 2 |
_aRU _b63413507 _c20180206 _gRCR |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1134/S1995080217060178 |
| 942 | _cCF | ||