Generalized <i>k</i>-fractional integral inequalities associated with (α,m)-convex functions
  • Kang, S. M.
  • Farid, G.
  • Waseem, M.
  • Ullah, S.
  • Nazeer, W.
  • 외 1명
Citations

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11
Citations

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초록

This research investigates bounds of the sum of left-sided and right-sided fractional integrals in a compact form. These bounds are established by using (alpha,m)-convex functions. The results of this paper also have connection with some known and already published results (Dragomir and Agarwal in Appl. Math. Lett. 11(5):91-95, 1998; Farid in J. Anal. 2018, ; Farid et al. in Mathematics 2018(6):248, 2018). Moreover, the investigated results are applied to the end points as well as the mid point of the domain and some interesting consequences have been obtained.

키워드

Convex function(a, m)-convex functionFractional integralsBoundsHERMITE-HADAMARD
제목
Generalized <i>k</i>-fractional integral inequalities associated with (α,m)-convex functions
저자
Kang, S. M.Farid, G.Waseem, M.Ullah, S.Nazeer, W.Mehmood, S.
DOI
10.1186/s13660-019-2206-4
발행일
2019-12
유형
Article
저널명
Journal of Inequalities and Applications
2019
1