TY  - JOUR
T1  - Euler-Maclaurin-type Inequalities   for $h-$convex Functions   via Riemann-Liouville Fractional Integrals
AU  - Hezenci, Fatih
AU  - Budak, Hüseyin
PY  - 2025
DA  - July
Y2  - 2025
DO  - 10.33434/cams.1660607
JF  - Communications in Advanced Mathematical Sciences
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2651-4001
SP  - 57
EP  - 69
VL  - 8
IS  - 2
LA  - en
AB  - In this paper, some Euler-Maclaurin-type inequalities are established by using   $h-$convex functions involving Riemann-Liouville fractional integrals. In precisely,  using the properties of $h$-convex functions, we prove new Euler-Maclaurin-type inequalities. In addition, we present some Euler-Maclaurin-type inequalities for Riemann-Liouville fractional integrals by using Hölder inequality.  Moreover,    some Euler-Maclaurin-type inequalities are established by using power-mean inequality. Finally,  by using the special choices of the obtained results, we obtain some Euler-Maclaurin-type inequalities.
KW  - Convex functions
KW  - Fractional calculus
KW  - Maclaurin
KW  - Quadrature formula
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UR  - https://doi.org/10.33434/cams.1660607
L1  - https://dergipark.org.tr/en/download/article-file/4703006
ER  -