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Generalization of Some Fractional Integral Operator Inequalities for Convex Functions via Unified Mittag-Leffler Function
- Nonlaopon, Kamsing;
- Farid, Ghulam;
- Yasmeen, Hafsa;
- Shah, Farooq Ahmed;
- Jung, Chahn Yong
Citations
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6초록
This paper aims to obtain the bounds of a class of integral operators containing Mittag-Leffler functions in their kernels. A recently defined unified Mittag-Leffler function plays a vital role in connecting the results of this paper with the well-known bounds of fractional integral operators published in the recent past. The symmetry of a function about a line is a fascinating property that plays an important role in mathematical inequalities. A variant of the Hermite-Hadamard inequality is established using the closely symmetric property for (alpha, m)-convex functions.
키워드
integral operators; fractional integral operators; bounds; (alpha, m)-convex function; symmetry
- 제목
- Generalization of Some Fractional Integral Operator Inequalities for Convex Functions via Unified Mittag-Leffler Function
- 저자
- Nonlaopon, Kamsing; Farid, Ghulam; Yasmeen, Hafsa; Shah, Farooq Ahmed; Jung, Chahn Yong
- 발행일
- 2022-05
- 유형
- Article
- 저널명
- Symmetry
- 권
- 14
- 호
- 5