MMN-4592
Some bounds of Hermite-Hadamard-type inequalities based on conformable fractional integrals
Hüseyin Budak; Umut Baş; Hasan Kara; Fatih Hezenci;Abstract
In this research, we establish the above and below bounds via the left and
right sides of Hermite--Hadamard-type inequalities including conformable
fractional integrals with the aid of the mappings whose second derivatives
are bounded. Instead of using the convexity condition in these obtained
inequalities, we used condition $f^{\prime }(a+b-t)-f^{\prime }(t)\geq 0,$ $%
t\in \left[ a,\frac{a+b}{2}\right] $. We have presented examples of the
inequalities acquired. We have given the graph showing the correctness of
the presented examples.
Vol. 26 (2025), No. 1, pp. 115-136