TY - JOUR
ID - 239415
TI - On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Budak, Huseyin
AU - Pehlivan, Ebru
AU - Kosem, PÄ±nar
AD - Department of Mathematics, Faculty of Science and Arts, Duzce
University, Duzce, Turkey
Y1 - 2021
PY - 2021
VL - 18
IS - 1
SP - 73
EP - 88
KW - Hermite-Hadamard inequality
KW - convex function
KW - Bounded function
DO - 10.22130/scma.2020.121963.759
N2 - 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 $xin left[ a,frac{a+b}{2}right] $ instead of convexity.
UR - https://scma.maragheh.ac.ir/article_239415.html
L1 - https://scma.maragheh.ac.ir/article_239415_3352d66ff13ca0aaf786ddd8dec3bac3.pdf
ER -