Study of quantum Ostrowski's-type inequalities for differentiable convex functions
UDC 517.9 We prove some new  $q$-Ostrowski's-type inequalities for differentiable and bounded functions.  Moreover, we present the relationship between the newly established   and  already known inequalities, whic...
Збережено в:
| Дата: | 2023 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2023
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7313 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512649624682496 |
|---|---|
| author | Ali, M. A. Fečkan, M. Mateen, A. Ali, M. A. Fečkan, M. Mateen, A. |
| author_facet | Ali, M. A. Fečkan, M. Mateen, A. Ali, M. A. Fečkan, M. Mateen, A. |
| author_sort | Ali, M. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-02-25T14:21:52Z |
| description | UDC 517.9
We prove some new  $q$-Ostrowski's-type inequalities for differentiable and bounded functions.  Moreover, we present the relationship between the newly established   and  already known inequalities, which is very interesting for  new readers.  Some applications to special means of real numbers are given to make the results more valuable. |
| doi_str_mv | 10.37863/umzh.v75i1.7313 |
| first_indexed | 2026-03-24T03:32:09Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7313 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:09Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-73132023-02-25T14:21:52Z Study of quantum Ostrowski's-type inequalities for differentiable convex functions Study of quantum Ostrowski's-type inequalities for differentiable convex functions Ali, M. A. Fečkan, M. Mateen, A. Ali, M. A. Fečkan, M. Mateen, A. Hermite–Hadamard inequalities, Ostrowski’s inequalities, q-calculus, convex functions Differential Equations & Dynamical Systems UDC 517.9 We prove some new  $q$-Ostrowski's-type inequalities for differentiable and bounded functions.  Moreover, we present the relationship between the newly established   and  already known inequalities, which is very interesting for  new readers.  Some applications to special means of real numbers are given to make the results more valuable. УДК 517.9 Дослідження квантових нерівностей типу Островського для диференційовних опуклих функцій  Oбґрунтовано деякі нові нерівності  $q$-Островського типу для диференційовних та обмежених функцій.  Крім того, встановлено зв'язок між новими нерівностями та нерівностями, отриманими раніше, що дуже цікаво для нових читачів.  Наведено деякі застосування до  спеціальних середніх дійсних чисел, щоб зробити наші результати більш цінними.  Institute of Mathematics, NAS of Ukraine 2023-02-05 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7313 10.37863/umzh.v75i1.7313 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 1 (2023); 7 - 27 Український математичний журнал; Том 75 № 1 (2023); 7 - 27 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7313/9799 Copyright (c) 2023 Міхал Фечкан, Muhammad Aamir Ali, Abdul Mateen |
| spellingShingle | Ali, M. A. Fečkan, M. Mateen, A. Ali, M. A. Fečkan, M. Mateen, A. Study of quantum Ostrowski's-type inequalities for differentiable convex functions |
| title | Study of quantum Ostrowski's-type inequalities for differentiable convex functions |
| title_alt | Study of quantum Ostrowski's-type inequalities for differentiable convex functions |
| title_full | Study of quantum Ostrowski's-type inequalities for differentiable convex functions |
| title_fullStr | Study of quantum Ostrowski's-type inequalities for differentiable convex functions |
| title_full_unstemmed | Study of quantum Ostrowski's-type inequalities for differentiable convex functions |
| title_short | Study of quantum Ostrowski's-type inequalities for differentiable convex functions |
| title_sort | study of quantum ostrowski's-type inequalities for differentiable convex functions |
| topic_facet | Hermite–Hadamard inequalities Ostrowski’s inequalities q-calculus convex functions Dynamical Systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7313 |
| work_keys_str_mv | AT alima studyofquantumostrowski039stypeinequalitiesfordifferentiableconvexfunctions AT feckanm studyofquantumostrowski039stypeinequalitiesfordifferentiableconvexfunctions AT mateena studyofquantumostrowski039stypeinequalitiesfordifferentiableconvexfunctions AT alima studyofquantumostrowski039stypeinequalitiesfordifferentiableconvexfunctions AT feckanm studyofquantumostrowski039stypeinequalitiesfordifferentiableconvexfunctions AT mateena studyofquantumostrowski039stypeinequalitiesfordifferentiableconvexfunctions |