Geodesic
New results on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function
Filomat, Tome 37 (2023) no. 15, p. 4943

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

DOI

The purpose of this article is to construction Hermite-Hadamard type inequalities via Caputo- Fabrizio fractional integral for s-convex function. The results are applied to fractional variations of Hermite- Hadamard type inequalities for differentiable mapping φ with s-convex absolute value derivatives. The findings also provide a new lemma for φ′ and new limits via Caputo-Fabrizio fractional operator by using the well-known Hölder’s integral inequalities. Moreover some new bounds for applications of matrix and special means of different positive real numbers are also discussed.
DOI : 10.2298/FIL2315943N
Classification : 26D10, 26D15
Keywords: Convex function, s-Convex function, Caputo-Fabrizio operator, Hermite-Hadamard inequality, Hölder’s inequality, Power mean inequality, Young’s inequality 
Jamshed Nasir; Shahid Qaisar; Ather Qayyum; Hüseyin Budak. New results on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function. Filomat, Tome 37 (2023) no. 15, p. 4943 . doi: 10.2298/FIL2315943N
@article{10_2298_FIL2315943N,
     author = {Jamshed Nasir and Shahid Qaisar and Ather Qayyum and H\"useyin Budak},
     title = {New results on {Hermite-Hadamard} type inequalities via {Caputo-Fabrizio} fractional integral for s-convex function},
     journal = {Filomat},
     pages = {4943 },
     year = {2023},
     volume = {37},
     number = {15},
     doi = {10.2298/FIL2315943N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315943N/}
}
TY  - JOUR
AU  - Jamshed Nasir
AU  - Shahid Qaisar
AU  - Ather Qayyum
AU  - Hüseyin Budak
TI  - New results on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function
JO  - Filomat
PY  - 2023
SP  - 4943 
VL  - 37
IS  - 15
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2315943N/
DO  - 10.2298/FIL2315943N
LA  - en
ID  - 10_2298_FIL2315943N
ER  - 
%0 Journal Article
%A Jamshed Nasir
%A Shahid Qaisar
%A Ather Qayyum
%A Hüseyin Budak
%T New results on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function
%J Filomat
%D 2023
%P 4943 
%V 37
%N 15
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2315943N/
%R 10.2298/FIL2315943N
%G en
%F 10_2298_FIL2315943N

Cité par Sources :