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On a unified integral operator for φ-convex functions
On a unified integral operator for<i>φ</i>-convex functions
- Kwun, Young Chel;
- Zahra, Moquddsa;
- Farid, Ghulam;
- Zainab, Saira;
- Kang, Shin Min
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5초록
Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use phi-convex functions for unified integral operators to obtain their upper bounds and upper and lower bounds for symmetric phi-convex functions in the form of a Hadamard inequality. Also, for phi-convex functions, we obtain bounds of different known fractional and conformable fractional integrals. The results of this paper are applicable to convex functions.
키워드
Convex function; phi-convex function; Integral operators; Fractional integrals; Conformable fractional integrals; Bounds; HERMITE-HADAMARD; INEQUALITIES
- 제목
- On a unified integral operator for φ-convex functions
- 제목 (타언어)
- On a unified integral operator for<i>φ</i>-convex functions
- 저자
- Kwun, Young Chel; Zahra, Moquddsa; Farid, Ghulam; Zainab, Saira; Kang, Shin Min
- 발행일
- 2020-06
- 유형
- Article
- 권
- 2020
- 호
- 1