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Riemann-Liouville Fractional integral operators with respect to increasing functions and strongly (α, <i>m</i>)-convex functions
- Farid, Ghulam;
- Yasmeen, Hafsa;
- Ahmad, Hijaz;
- Jung, Chahn Yong
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2초록
In this paper Hadamard type inequalities for strongly (alpha, m)-convex functions via generalized Riemann-Liouville fractional integrals are studied. These inequalities provide generalizations as well as refinements of several well known inequalities. The established results are further connected with fractional integral inequalities for Riemann-Liouville fractional integrals of convex, strongly convex and strongly m-convex functions. By using two fractional integral identities some more Hadamard type inequalities are proved.
키워드
(alpha, m)-convex function; strongly (alpha, m)-convex function; Hadamard inequality; Riemann-Liouville fractional integrals; OSTROWSKI TYPE INEQUALITIES; HADAMARD-TYPE INEQUALITIES; M-CONVEX FUNCTIONS; DIFFERENTIABLE MAPPINGS; REAL NUMBERS
- 제목
- Riemann-Liouville Fractional integral operators with respect to increasing functions and strongly (α, <i>m</i>)-convex functions
- 저자
- Farid, Ghulam; Yasmeen, Hafsa; Ahmad, Hijaz; Jung, Chahn Yong
- 발행일
- 2021-10
- 유형
- Article
- 저널명
- AIMS MATHEMATICS
- 권
- 6
- 호
- 10
- 페이지
- 11403 ~ 11424
- 언어
- ENG
- 출판사
- AIMS Press
- 발행국가
- 미국
- 분량
- 22 페이지
- ISSN
- P 2473-6988