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Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions
- Farid, Ghulam;
- Kwun, Young Chel;
- Yasmeen, Hafsa;
- Akkurt, Abdullah;
- Kang, Shin Min
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2초록
Some new integral inequalities for strongly (alpha, h - m)- cony ex functions via generalized Riemann-Liouville fractional integrals are established. The outcomes of this paper provide refinements of some fractional integral inequalities for strongly convex, strongly m-convex, strongly (alpha, m)-convex, and strongly (h - m)-convex functions. Also, the refinements of error estimations of these inequalities are obtained by using two fractional integral identities. Moreover, using a parameter substitution and a constant multiplier, k-fractional versions of established inequalities are also given.
키워드
(h - m)-convex function; Strongly (h - m)- convex function; (alpha, h-m)-convex function; Strongly (alpha, h-m)-convex function; Hadamard inequality; Riemann-Liouville fractional integrals; HERMITE-HADAMARD INEQUALITY; DIFFERENTIABLE MAPPINGS; REAL NUMBERS
- 제목
- Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions
- 저자
- Farid, Ghulam; Kwun, Young Chel; Yasmeen, Hafsa; Akkurt, Abdullah; Kang, Shin Min
- 발행일
- 2021-08
- 유형
- Article
- 권
- 2021
- 호
- 1