Fractional Simpson's type inequalities for twice differentiable convex
functions with applications
- Jamshed Nasir,
- Shahid Qaisar,
- SAAD BUTT
, - Muhammad Aamir Ali
Jamshed Nasir
COMSATS University Islamabad - Lahore Campus
Author ProfileShahid Qaisar
COMSATS, Institute of information technology, Islamabad, Sahiwal Campus
Author ProfileMuhammad Aamir Ali
Nanjing Normal University School of Mathematical Sciences
Corresponding Author:mahr.muhammad.aamir@gmail.com
Author ProfileAbstract
In this paper, we prove a new identity involving the second derivative
of the function and Riemann-Liouville fractional integrals. The newly
established identity is then used to establish some new Simpson's type
inequalities for twice differentiable convex functions. Finally, we give
applications of special functions using the newly proved inequalities.
