On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions
In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct fractional integral operators for strongly $p$-convex functions of higher order....
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_712437_74d6567b03f59f00905131501e1eef95.pdf |
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| author | Ayşe Kübra Demirel |
| author_facet | Ayşe Kübra Demirel |
| author_sort | Ayşe Kübra Demirel |
| collection | DOAJ |
| description | In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct fractional integral operators for strongly $p$-convex functions of higher order. The acquired inequalities ensure boundedness, continuity, and Hadamard type inequality for fractional integrals containing an expanded Mittag-Leffler function. Furthermore, these results can be refined for various classes of strongly convex functions offered in the literature. |
| format | Article |
| id | doaj-art-4f417952d758423fa75823ff7c4d6103 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-4f417952d758423fa75823ff7c4d61032025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121327930010.22130/scma.2024.1988977.1250712437On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler FunctionsAyşe Kübra Demirel0Department of Mathematics, Faculty of Science, University of Ordu, Ordu, Turkey.In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct fractional integral operators for strongly $p$-convex functions of higher order. The acquired inequalities ensure boundedness, continuity, and Hadamard type inequality for fractional integrals containing an expanded Mittag-Leffler function. Furthermore, these results can be refined for various classes of strongly convex functions offered in the literature.https://scma.maragheh.ac.ir/article_712437_74d6567b03f59f00905131501e1eef95.pdfmittag-leffler functionstrongly $p$-convexity of higher order$k$-fractional integralshadamard inequalityfej\'er-hadamard inequality |
| spellingShingle | Ayşe Kübra Demirel On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions Sahand Communications in Mathematical Analysis mittag-leffler function strongly $p$-convexity of higher order $k$-fractional integrals hadamard inequality fej\'er-hadamard inequality |
| title | On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions |
| title_full | On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions |
| title_fullStr | On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions |
| title_full_unstemmed | On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions |
| title_short | On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions |
| title_sort | on refinement of bounds of fractional integral operators containing extended generalized mittag leffler functions |
| topic | mittag-leffler function strongly $p$-convexity of higher order $k$-fractional integrals hadamard inequality fej\'er-hadamard inequality |
| url | https://scma.maragheh.ac.ir/article_712437_74d6567b03f59f00905131501e1eef95.pdf |
| work_keys_str_mv | AT aysekubrademirel onrefinementofboundsoffractionalintegraloperatorscontainingextendedgeneralizedmittaglefflerfunctions |