Geodesic
Fractional midpoint-type inequalities for twice-differentiable functions
Filomat, Tome 37 (2023) no. 24, p. 8131

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this research article, we obtain an identity for twice differentiable functions whose second derivatives in absolute value are convex. By using this identity, we prove several left Hermite–Hadamard-type inequalities for the case of Riemann–Liouville fractional integrals. Furthermore, we provide our results by using special cases of obtained theorems.
DOI : 10.2298/FIL2324131H
Classification : 26B25, 26D10, 26D15
Keywords: Hermite–Hadamardinequality, Midpoint inequality, Fractional integral operators, Convex function, Twice differentiable function 
Fatih Hezenci; Martin Bohner; Hüseyin Budak. Fractional midpoint-type inequalities for twice-differentiable functions. Filomat, Tome 37 (2023) no. 24, p. 8131 . doi: 10.2298/FIL2324131H
@article{10_2298_FIL2324131H,
     author = {Fatih Hezenci and Martin Bohner and H\"useyin Budak},
     title = {Fractional midpoint-type inequalities for twice-differentiable functions},
     journal = {Filomat},
     pages = {8131 },
     year = {2023},
     volume = {37},
     number = {24},
     doi = {10.2298/FIL2324131H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2324131H/}
}
TY  - JOUR
AU  - Fatih Hezenci
AU  - Martin Bohner
AU  - Hüseyin Budak
TI  - Fractional midpoint-type inequalities for twice-differentiable functions
JO  - Filomat
PY  - 2023
SP  - 8131 
VL  - 37
IS  - 24
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2324131H/
DO  - 10.2298/FIL2324131H
LA  - en
ID  - 10_2298_FIL2324131H
ER  - 
%0 Journal Article
%A Fatih Hezenci
%A Martin Bohner
%A Hüseyin Budak
%T Fractional midpoint-type inequalities for twice-differentiable functions
%J Filomat
%D 2023
%P 8131 
%V 37
%N 24
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2324131H/
%R 10.2298/FIL2324131H
%G en
%F 10_2298_FIL2324131H

Cité par Sources :