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Generalization of some fractional versions of Hadamard inequalities via exponentially (α, <i>h</i> - <i>m</i>)-convex functions
- Lv, Yu-Pei;
- Farid, Ghulam;
- Yasmeen, Hafsa;
- Nazeer, Waqas;
- Jung, Chahn Yong
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5초록
In this paper we give Hadamard inequalities for exponentially (alpha, h - m)-convex functions using Riemann-Liouville fractional integrals for strictly increasing function. Results for RiemannLiouville fractional integrals of convex, m-convex, s-convex, (alpha, m)-convex, (s, m)-convex, (h - m) convex, (alpha, h - m)-convex, exponentially convex, exponentially m-convex, exponentially s-convex, exponentially (s, m)-convex, exponentially (h - m)-convex, exponentially (alpha, h - m)-convex functions are particular cases of the results of this paper. The error estimations of these inequalities by using two fractional integral identities are also given.
키워드
(alpha, h - m)-convex function; exponentionally (alpha, h - m)-convex function; Hadamard inequality; Riemann-Liouville fractional integrals; M-CONVEX FUNCTIONS; DIFFERENTIABLE MAPPINGS; REAL NUMBERS
- 제목
- Generalization of some fractional versions of Hadamard inequalities via exponentially (α, <i>h</i> - <i>m</i>)-convex functions
- 저자
- Lv, Yu-Pei; Farid, Ghulam; Yasmeen, Hafsa; Nazeer, Waqas; Jung, Chahn Yong
- 발행일
- 2021-06
- 유형
- Article
- 저널명
- AIMS MATHEMATICS
- 권
- 6
- 호
- 8
- 페이지
- 8978 ~ 8999