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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초록

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
DOI
10.1186/s13662-021-03548-w
발행일
2021-08
유형
Article
저널명
Advances in Difference Equations
권
2021
호
1