Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions
UDC 517.5 We derive multiple inequalities employing exponential kernels in the context of fractional integrals. Within the framework of fractional calculus techniques, we explore novel Hermite–Hadamard type and Hermite–Hadamard–Fejér type inequalities applied to exponentially convex functions. Thes...
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| Datum: | 2026 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8384 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513065306423296 |
|---|---|
| author | Malik, Danish Jabeen, Zamrooda Malik, Danish Jabeen, Zamrooda |
| author_facet | Malik, Danish Jabeen, Zamrooda Malik, Danish Jabeen, Zamrooda |
| author_sort | Malik, Danish |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:38:25Z |
| description | UDC 517.5
We derive multiple inequalities employing exponential kernels in the context of fractional integrals. Within the framework of fractional calculus techniques, we explore novel Hermite–Hadamard type and Hermite–Hadamard–Fejér type inequalities applied to exponentially convex functions. These results provide valuable insights into the properties of exponentially convex functions and demonstrate the significance of fractional calculus in their analysis. |
| doi_str_mv | 10.3842/umzh.v77i5.8384 |
| first_indexed | 2026-03-24T03:38:45Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8384 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:38:45Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-83842026-03-21T13:38:25Z Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions Malik, Danish Jabeen, Zamrooda Malik, Danish Jabeen, Zamrooda Convexity Hermite-Hadamard Inequality Exponential Convexity Fractional Integral UDC 517.5 We derive multiple inequalities employing exponential kernels in the context of fractional integrals. Within the framework of fractional calculus techniques, we explore novel Hermite–Hadamard type and Hermite–Hadamard–Fejér type inequalities applied to exponentially convex functions. These results provide valuable insights into the properties of exponentially convex functions and demonstrate the significance of fractional calculus in their analysis. УДК 517.5 Нерівності типу Ерміта–Адамара для дробових інтегралів експоненціально опуклих функцій Продемонстровано виведення кратних нерівностей з використанням експоненціального ядра в контексті дробових інтегралів. У рамках методів дробового числення досліджено нові нерівності типу Ерміта–Адамара та Ерміта–Адамара–Феєра для експоненціально опуклих функцій. Отримані результати дають цінні уялення про властивості експоненціально опуклих функцій і підкреслюють важливість дробового числення для їхнього аналізу. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8384 10.3842/umzh.v77i5.8384 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 5 (2025); 367 Український математичний журнал; Том 77 № 5 (2025); 367 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8384/10525 Copyright (c) 2025 Danish Malik, Zamrooda Jabeen |
| spellingShingle | Malik, Danish Jabeen, Zamrooda Malik, Danish Jabeen, Zamrooda Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions |
| title | Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions |
| title_alt | Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions |
| title_full | Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions |
| title_fullStr | Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions |
| title_full_unstemmed | Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions |
| title_short | Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions |
| title_sort | hermite–hadamard type inequalities involving fractional integrals of exponentially convex functions |
| topic_facet | Convexity Hermite-Hadamard Inequality Exponential Convexity Fractional Integral |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8384 |
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