Geodesic
Generalized Hermite-Hadamard-Mercer type inequalities via majorization
Filomat, Tome 36 (2022) no. 2, p. 469

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

DOI

The Hermite-Hadamard inequality has been recognized as the most pivotal inequality which has grabbed the attention of several mathematicians. In recent years, load of results have been established for this inequality. The main theme of this article is to present generalized Hermite-Hadamard inequality via the Jensen-Mercer inequality and majorization concept. We establish a Hermite-Hadamard inequality of the Jensen-Mercer type for majorized tuples. With the aid of weighted generalized Mercer's inequality, we also prove a weighted generalized Hermite-Hadamard inequality for certain tuples. The idea of obtaining the results of this paper, may explore a new way for derivation of several other results for Hermite-Hadamard inequality
DOI : 10.2298/FIL2202469F
Classification : 26D15, 26A51
Keywords: Jensen-Mercer inequality, Hermite-Hadamard inequality, majorization 
Shah Faisal; Muhammad Adil Khan; Sajid Iqbal. Generalized Hermite-Hadamard-Mercer type inequalities via majorization. Filomat, Tome 36 (2022) no. 2, p. 469 . doi: 10.2298/FIL2202469F
@article{10_2298_FIL2202469F,
     author = {Shah Faisal and Muhammad Adil Khan and Sajid Iqbal},
     title = {Generalized {Hermite-Hadamard-Mercer} type inequalities via majorization},
     journal = {Filomat},
     pages = {469 },
     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202469F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202469F/}
}
TY  - JOUR
AU  - Shah Faisal
AU  - Muhammad Adil Khan
AU  - Sajid Iqbal
TI  - Generalized Hermite-Hadamard-Mercer type inequalities via majorization
JO  - Filomat
PY  - 2022
SP  - 469 
VL  - 36
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2202469F/
DO  - 10.2298/FIL2202469F
LA  - en
ID  - 10_2298_FIL2202469F
ER  - 
%0 Journal Article
%A Shah Faisal
%A Muhammad Adil Khan
%A Sajid Iqbal
%T Generalized Hermite-Hadamard-Mercer type inequalities via majorization
%J Filomat
%D 2022
%P 469 
%V 36
%N 2
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2202469F/
%R 10.2298/FIL2202469F
%G en
%F 10_2298_FIL2202469F

Cité par Sources :