Geodesic
Some generalized Hadamard--type inequalities via fractional integrals
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2021), pp. 3-18

Voir la notice de l'article provenant de la source Math-Net.Ru

The study presents some generalized inequalities of the Hermite–Hadamard type using fractional Riemann–Liouville integrals for the class of $s$-convex functions in the first and second sense. The results are obtained for functions whose second derivatives are convex and take values at intermediate points of the interval. It is shown that with this approach, the absolute error of Hadamard–type inequalities decreases by a multiple of the number of intermediate points. In a particular case, the obtained upper bounds for the Hadamard inequality coincide with those in the literature. 
@article{IVM_2021_2_a0,
     author = {B. Bayraktar and A. H. Attaev and V. Ch. Kudaev},
     title = {Some generalized {Hadamard--type} inequalities via fractional integrals},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--18},
     publisher = {mathdoc},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_2_a0/}
}
TY  - JOUR
AU  - B. Bayraktar
AU  - A. H. Attaev
AU  - V. Ch. Kudaev
TI  - Some generalized Hadamard--type inequalities via fractional integrals
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2021
SP  - 3
EP  - 18
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2021_2_a0/
LA  - ru
ID  - IVM_2021_2_a0
ER  - 
%0 Journal Article
%A B. Bayraktar
%A A. H. Attaev
%A V. Ch. Kudaev
%T Some generalized Hadamard--type inequalities via fractional integrals
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2021
%P 3-18
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2021_2_a0/
%G ru
%F IVM_2021_2_a0
B. Bayraktar; A. H. Attaev; V. Ch. Kudaev. Some generalized Hadamard--type inequalities via fractional integrals. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2021), pp. 3-18. http://geodesic.mathdoc.fr/item/IVM_2021_2_a0/