On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals

By Hüseyin Budak, Fatih Hezenci, H. Kara. Mathematical methods in the applied sciences, 2021

53 citations recorded by the source corpus.

The present paper first establishes that an identity involving generalized fractional integrals is proved for differentiable functions by using two parameters. By utilizing this identity, we obtain several parameterized inequalities for the functions whose derivatives in absolute value are convex. Finally, we show that our main inequalities reduce to Ostrowski type inequalities, Simpson type inequalities and trapezoid type inequalities which are proved in earlier published papers.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/c3e2538fe104ea908b456ca9e7ddcd031460e2b9