International Journal of Nonlinear Analysis and Applications

Some fractional weighted trapezoid type inequalities for preinvex functions

Document Type : Research Paper

Authors

1 Higher School of Industrial Technologies - Annaba. PO.Box 218, 23000 Annaba, Algeria

2 Laboratoire des telecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria

Abstract

In this paper, we establish a weighted integral identity for preinvex functions. Some new trapezoidal type inequalities are derived for functions whose modulus of the first derivatives are preinvex via Riemann-Liouville fractional operators.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 3567-3587
  • Receive Date: 10 May 2021
  • Revise Date: 14 June 2021
  • Accept Date: 27 June 2021