New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals
UDC 517.9 Our aim is to investigate novel Bullen-type inequalities for coordinated convex mappings by employing conformable fractional integrals. Initially, an identity incorporating the conformable fractional integrals was established to serve for this purpose. &nb...
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| Дата: | 2025 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2025
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7989 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512840206516224 |
|---|---|
| author | Hezenci, Fatih Kara, Hasan Budak, Hüseyin Hezenci, Fatih Kara, Hasan Budak, Hüseyin |
| author_facet | Hezenci, Fatih Kara, Hasan Budak, Hüseyin Hezenci, Fatih Kara, Hasan Budak, Hüseyin |
| author_sort | Hezenci, Fatih |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-08-09T14:51:17Z |
| description | UDC 517.9
Our aim is to investigate novel Bullen-type inequalities for coordinated convex mappings by employing conformable fractional integrals. Initially, an identity incorporating the conformable fractional integrals was established to serve for this purpose.  By using this identity, new inequalities аre derived expanding the scope of previously established results obtained with the help of Riemann–Liouville integrals by making specific  choices of variable and applying the Hölder inequality and the power-mean inequality. |
| doi_str_mv | 10.3842/umzh.v76i11.7989 |
| first_indexed | 2026-03-24T03:35:11Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7989 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:35:11Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-79892025-08-09T14:51:17Z New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals Hezenci, Fatih Kara, Hasan Budak, Hüseyin Hezenci, Fatih Kara, Hasan Budak, Hüseyin Bullen type inequality, Fractional integral operators, conformable fractional integrals, Co-ordinated convex function UDC 517.9 Our aim is to investigate novel Bullen-type inequalities for coordinated convex mappings by employing conformable fractional integrals. Initially, an identity incorporating the conformable fractional integrals was established to serve for this purpose.  By using this identity, new inequalities аre derived expanding the scope of previously established results obtained with the help of Riemann–Liouville integrals by making specific  choices of variable and applying the Hölder inequality and the power-mean inequality. УДК 517.9 Нові результати щодо нерівностей типу Буллена для координованої опуклої функції, отримані за допомогою конформних дробових інтегралів Метою цієї роботи є дослідження нових нерівностей типу Буллена для координованих опуклих відображень за допомогою конформних дробових інтегралів. Спочатку для цього встановлено тотожність, яка містить конформні дробові інтеграли. За допомогою цієї тотожності отримано нові нерівності, які розширюють сферу застосування раніше встановлених результатів, одержаних за допомогою інтегралів Рімана–Ліувілля, шляхом вибору певних змінних із застосуванням нерівностей Гельдера та середнього степеня. Institute of Mathematics, NAS of Ukraine 2025-08-06 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7989 10.3842/umzh.v76i11.7989 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 11 (2024); 1691 - 1712 Український математичний журнал; Том 76 № 11 (2024); 1691 - 1712 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7989/10283 Copyright (c) 2024 Hasan Kara, Fatih Hezenci, Hüseyin Budak |
| spellingShingle | Hezenci, Fatih Kara, Hasan Budak, Hüseyin Hezenci, Fatih Kara, Hasan Budak, Hüseyin New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals |
| title | New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals |
| title_alt | New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals |
| title_full | New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals |
| title_fullStr | New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals |
| title_full_unstemmed | New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals |
| title_short | New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals |
| title_sort | new results on bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals |
| topic_facet | Bullen type inequality Fractional integral operators conformable fractional integrals Co-ordinated convex function |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7989 |
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