Geodesic
Semi p-geometric-arithmetically functions and some new related inequalities
Filomat, Tome 37 (2023) no. 21, p. 7017

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 manuscript, the authors introduce the concept of the semi P-geometric–arithmetically functions (semi P-GA functions) and give their some algebraic properties. Then, they get Hermite-Hadamard's integral inequalities for semi P-GA-functions (geometric-arithmetically convex). In addition, the authors obtain new inequalities by using Hölder and Hölder-Ìsçan integral inequalities with the help of an identity. Then, the authors compare the results obtained with both Hölder-Ìsçan integral inequalities and prove that the Hölder-Ìsçan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.
DOI : 10.2298/FIL2321017K
Classification : 26A51, 26D10, 26D15
Keywords: Convex function, semi P-function, semi P-GA function, Hermite-Hadamard inequality, Hölder-Ìsçan inequality 
Mahir Kadakal; Ìmdat ;  Ìsçan; Huriye Kadakal. Semi p-geometric-arithmetically functions and some new related inequalities. Filomat, Tome 37 (2023) no. 21, p. 7017 . doi: 10.2298/FIL2321017K
@article{10_2298_FIL2321017K,
     author = {Mahir Kadakal and \`Imdat  and  \`Is\c{c}an and Huriye Kadakal},
     title = {Semi p-geometric-arithmetically functions and some new related inequalities},
     journal = {Filomat},
     pages = {7017 },
     year = {2023},
     volume = {37},
     number = {21},
     doi = {10.2298/FIL2321017K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321017K/}
}
TY  - JOUR
AU  - Mahir Kadakal
AU  - Ìmdat 
AU  -  Ìsçan
AU  - Huriye Kadakal
TI  - Semi p-geometric-arithmetically functions and some new related inequalities
JO  - Filomat
PY  - 2023
SP  - 7017 
VL  - 37
IS  - 21
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2321017K/
DO  - 10.2298/FIL2321017K
LA  - en
ID  - 10_2298_FIL2321017K
ER  - 
%0 Journal Article
%A Mahir Kadakal
%A Ìmdat 
%A  Ìsçan
%A Huriye Kadakal
%T Semi p-geometric-arithmetically functions and some new related inequalities
%J Filomat
%D 2023
%P 7017 
%V 37
%N 21
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2321017K/
%R 10.2298/FIL2321017K
%G en
%F 10_2298_FIL2321017K

Cité par Sources :