@article {
author = {Budak, Huseyin and Pehlivan, Ebru and Kosem, PÄ±nar},
title = {On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {1},
pages = {73-88},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.121963.759},
abstract = {In this paper, we establish some Trapezoid and Midpoint type inequalities for generalized fractional integrals by utilizing the functions whose second derivatives are bounded . We also give some new inequalities for $k$-Riemann-Liouville fractional integrals as special cases of our main results. We also obtain some Hermite-Hadamard type inequalities by using the condition $f^{\prime }(a+b-x)\geq f^{\prime }(x)$ for all $x\in \left[ a,\frac{a+b}{2}\right] $ instead of convexity.},
keywords = {Hermite-Hadamard inequality,convex function,Bounded function},
url = {https://scma.maragheh.ac.ir/article_239415.html},
eprint = {https://scma.maragheh.ac.ir/article_239415_3352d66ff13ca0aaf786ddd8dec3bac3.pdf}
}