Geodesic
Linear inequalities via extension of Montgomery identity and weighted Hermite-Hadamard inequalities with and without green functions
Filomat, Tome 36 (2022) no. 11, p. 3593

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

DOI

Weighted Hermite-Hadamard dual inequality in integral form is an important result as its left hand inequality is in fact Jensen inequality and right hand inequality is the Lah–Ribarić inequality. In this paper new linear inequalities are introduced via extension of Montgomery identity and weighted Hermite-Hadamard inequalities with and without Green functions in discrete and integral cases.
DOI : 10.2298/FIL2211593A
Classification : 26A51, 39B62, 26D15, 26D20, 26D99
Keywords: Convex functions, Weighted Hermite Hadamard and Montgomery Identity 
Shaista Alamgir; Asif R Khan; Josip E Pečarić. Linear inequalities via extension of Montgomery identity and weighted Hermite-Hadamard inequalities with and without green functions. Filomat, Tome 36 (2022) no. 11, p. 3593 . doi: 10.2298/FIL2211593A
@article{10_2298_FIL2211593A,
     author = {Shaista Alamgir and Asif R Khan and Josip E Pe\v{c}ari\'c},
     title = {Linear inequalities via extension of {Montgomery} identity and weighted {Hermite-Hadamard} inequalities with and without green functions},
     journal = {Filomat},
     pages = {3593 },
     year = {2022},
     volume = {36},
     number = {11},
     doi = {10.2298/FIL2211593A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211593A/}
}
TY  - JOUR
AU  - Shaista Alamgir
AU  - Asif R Khan
AU  - Josip E Pečarić
TI  - Linear inequalities via extension of Montgomery identity and weighted Hermite-Hadamard inequalities with and without green functions
JO  - Filomat
PY  - 2022
SP  - 3593 
VL  - 36
IS  - 11
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2211593A/
DO  - 10.2298/FIL2211593A
LA  - en
ID  - 10_2298_FIL2211593A
ER  - 
%0 Journal Article
%A Shaista Alamgir
%A Asif R Khan
%A Josip E Pečarić
%T Linear inequalities via extension of Montgomery identity and weighted Hermite-Hadamard inequalities with and without green functions
%J Filomat
%D 2022
%P 3593 
%V 36
%N 11
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2211593A/
%R 10.2298/FIL2211593A
%G en
%F 10_2298_FIL2211593A

Cité par Sources :