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Fractional Simpson's type inequalities for twice differentiable convex functions with applications
  • +1
  • Jamshed Nasir,
  • Shahid Qaisar,
  • SAAD BUTT,
  • Muhammad Aamir Ali
Jamshed Nasir
COMSATS University Islamabad - Lahore Campus
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Shahid Qaisar
COMSATS, Institute of information technology, Islamabad, Sahiwal Campus
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SAAD BUTT
COMSATS University Islamabad
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Muhammad Aamir Ali
Nanjing Normal University School of Mathematical Sciences

Corresponding Author:mahr.muhammad.aamir@gmail.com

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Abstract

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.