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On Bounds of k-Fractional Integral Operators with Mittag-Leffler Kernels for Several Types of Exponentially Convexities
- Farid, Ghulam;
- Khan, Hala Safdar;
- Tawfiq, Ferdous M. O.;
- Ro, Jong-Suk;
- Zainab, Saira
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1초록
This paper aims to study the bounds of k-integral operators with the Mittag-Leffler kernel in a unified form. To achieve these bounds, the definition of exponentially (Formula presented.) -convexity is utilized frequently. In addition, a fractional Hadamard type inequality which shows the upper and lower bounds of k-integral operators simultaneously is presented. The results are directly linked with the results of many published articles. © 2023 by the authors.
키워드
convex function; exponentially (α, h − m)-p-convex function; generalized integral operators; Mittag-Leffler function; INEQUALITIES; EXTENSION; HADAMARD
- 제목
- On Bounds of k-Fractional Integral Operators with Mittag-Leffler Kernels for Several Types of Exponentially Convexities
- 저자
- Farid, Ghulam; Khan, Hala Safdar; Tawfiq, Ferdous M. O.; Ro, Jong-Suk; Zainab, Saira
- 발행일
- 2023-08
- 유형
- Article
- 저널명
- Fractal and Fractional
- 권
- 7
- 호
- 8
- 언어
- ENG
- 출판사
- Multidisciplinary Digital Publishing Institute (MDPI)
- 발행국가
- 스위스
- ISSN
- E 2504-3110
P 2504-3110