Extremal properties of nondifferentiable convex functions on euclidean sets of combinations with repetitions
A general approach is suggested for studying extremal properties of nondifferentiable convex functions on Euclidean combinatorial sets. On the basis of this approach, by solving the linear optimization problem on a set of combinations with repetitions, we obtain estimates of minimum values of convex...
Gespeichert in:
| Datum: | 1994 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1994
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5695 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511921883578368 |
|---|---|
| author | Emets, O. A. Емец, О. А. Емец, О. А. |
| author_facet | Emets, O. A. Емец, О. А. Емец, О. А. |
| author_sort | Emets, O. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:03Z |
| description | A general approach is suggested for studying extremal properties of nondifferentiable convex functions on Euclidean combinatorial sets. On the basis of this approach, by solving the linear optimization problem on a set of combinations with repetitions, we obtain estimates of minimum values of convex and strongly convex objective functions in optimization problems on sets of combinations with repetitions and establish sufficient conditions for the existence of the corresponding minima. |
| first_indexed | 2026-03-24T03:20:35Z |
| format | Article |
| fulltext |
0030
0031
0032
0033
0034
0035
0036
0037
0038
0039
0040
0041
|
| id | umjimathkievua-article-5695 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:35Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bb/081f1850ffac5c8e9da6fc49552910bb.pdf |
| spelling | umjimathkievua-article-56952020-03-19T09:16:03Z Extremal properties of nondifferentiable convex functions on euclidean sets of combinations with repetitions Об экстремальных свойствах недифференцируемых выпуклых функций на евклидовом множестве сочетаний с повторениями Emets, O. A. Емец, О. А. Емец, О. А. A general approach is suggested for studying extremal properties of nondifferentiable convex functions on Euclidean combinatorial sets. On the basis of this approach, by solving the linear optimization problem on a set of combinations with repetitions, we obtain estimates of minimum values of convex and strongly convex objective functions in optimization problems on sets of combinations with repetitions and establish sufficient conditions for the existence of the corresponding minima. На основі запропонованого загального підходу до дослідження екстремальних властивостей недиференційовних опуклих функцій на евклідових комбінаторних множинах, а також розв'язку лінійної задачі оптимізації на множині сполучень з повтореннями одержані оцінки мінімумів опуклих та сильно опуклих цільових функцій в задачах оптимізації на множині сполучень з повтореннями та відповідні достатні умови мінімуму. Institute of Mathematics, NAS of Ukraine 1994-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5695 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 6 (1994); 680–691 Український математичний журнал; Том 46 № 6 (1994); 680–691 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5695/8075 https://umj.imath.kiev.ua/index.php/umj/article/view/5695/8076 Copyright (c) 1994 Emets O. A. |
| spellingShingle | Emets, O. A. Емец, О. А. Емец, О. А. Extremal properties of nondifferentiable convex functions on euclidean sets of combinations with repetitions |
| title | Extremal properties of nondifferentiable convex functions on euclidean sets of combinations with repetitions |
| title_alt | Об экстремальных свойствах недифференцируемых выпуклых функций на евклидовом множестве сочетаний с повторениями |
| title_full | Extremal properties of nondifferentiable convex functions on euclidean sets of combinations with repetitions |
| title_fullStr | Extremal properties of nondifferentiable convex functions on euclidean sets of combinations with repetitions |
| title_full_unstemmed | Extremal properties of nondifferentiable convex functions on euclidean sets of combinations with repetitions |
| title_short | Extremal properties of nondifferentiable convex functions on euclidean sets of combinations with repetitions |
| title_sort | extremal properties of nondifferentiable convex functions on euclidean sets of combinations with repetitions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5695 |
| work_keys_str_mv | AT emetsoa extremalpropertiesofnondifferentiableconvexfunctionsoneuclideansetsofcombinationswithrepetitions AT emecoa extremalpropertiesofnondifferentiableconvexfunctionsoneuclideansetsofcombinationswithrepetitions AT emecoa extremalpropertiesofnondifferentiableconvexfunctionsoneuclideansetsofcombinationswithrepetitions AT emetsoa obékstremalʹnyhsvojstvahnedifferenciruemyhvypuklyhfunkcijnaevklidovommnožestvesočetanijspovtoreniâmi AT emecoa obékstremalʹnyhsvojstvahnedifferenciruemyhvypuklyhfunkcijnaevklidovommnožestvesočetanijspovtoreniâmi AT emecoa obékstremalʹnyhsvojstvahnedifferenciruemyhvypuklyhfunkcijnaevklidovommnožestvesočetanijspovtoreniâmi |