Refinements of some fractional integral inequalities for refined (α, h− m) -convex function

This article investigates new inequalities for generalized Riemann–Liouville fractional integrals via the refined (α, h− m) -convex function. The established results give refinements of fractional integral inequalities for (h− m) -convex, (α, m) -convex, (s, m) -convex, and related functions. Also, the k-fractional versions of given inequalities by using a parameter substitution are provided. © 2021, The Author(s).

Authors
Jung C.Y.1 , Farid G.2 , Yasmeen H.2 , Lv Y.-P.3 , Pečarić J. 4
Journal
Advances in Difference Equations
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1186/s13662-021-03544-0
Number
391
Volume
2021
Year
2021
Organizations
  • 1 Department of Business Administration, Gyeongsang National University, Jinju, 52828, South Korea
  • 2 Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan
  • 3 Department of Mathematics, Huzhou University, Huzhou, 313000, China
  • 4 Rudn University, Moscow, Russian Federation
Keywords
Hermite–Hadamard inequality; Refined (h− m) -convex function; Refined (α, h− m) -convex function; Riemann–Liouville fractional integrals
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/76482/
Share

Other records