Midpoint inequalities in fractional calculus defined using positive weighted symmetry function kernels
Symmetry, Volume 13, No. 4, Article 550, Year 2021
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The aim of our study is to establish, for convex functions on an interval, a midpoint version of the fractional HHF type inequality. The corresponding fractional integral has a symmetric weight function composed with an increasing function as integral kernel. We also consider a midpoint identity and establish some related inequalities based on this identity. Some special cases can be considered from our main results. These results confirm the generality of our attempt.