Geodesic
Certain weighted young and Pólya-Szegö-type inequalities involving Marichev-Saigo-Maeda fractional integral operators with applications
Filomat, Tome 36 (2022) no. 15, p. 5161

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 paper, we establishes certain new weighted Young and Pólya-Szegö-type inequalities involving Marichev-Saigo-Maeda fractional integral operators. Meanwhile, corresponding weighted Cauchy-Schwarz type inequalities, Shisha-Mond type inequalities and Diaz-Metcalf type inequalities for Marichev-Saigo-Maeda fractional integral operators are also obtained. As applications, some estimates for weighted Chebyshev-type inequalities with two unknown functions for Marichev-Saigo-Maeda fractional integral operators are presented. The main results of this paper are more general and include a great number of existing classical inequalities.
DOI : 10.2298/FIL2215161Y
Classification : 26D10, 26A33, 31A10
Keywords: Young inequality, Pólya-Szegö inequality, Marichev-Saigo-Maeda fractional integral operators, Chebyshev functional, Heaviside unit step function 
Wengui Yang. Certain weighted young and Pólya-Szegö-type inequalities involving Marichev-Saigo-Maeda fractional integral operators with applications. Filomat, Tome 36 (2022) no. 15, p. 5161 . doi: 10.2298/FIL2215161Y
@article{10_2298_FIL2215161Y,
     author = {Wengui Yang},
     title = {Certain weighted young and {P\'olya-Szeg\"o-type} inequalities involving {Marichev-Saigo-Maeda} fractional integral operators with applications},
     journal = {Filomat},
     pages = {5161 },
     year = {2022},
     volume = {36},
     number = {15},
     doi = {10.2298/FIL2215161Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2215161Y/}
}
TY  - JOUR
AU  - Wengui Yang
TI  - Certain weighted young and Pólya-Szegö-type inequalities involving Marichev-Saigo-Maeda fractional integral operators with applications
JO  - Filomat
PY  - 2022
SP  - 5161 
VL  - 36
IS  - 15
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2215161Y/
DO  - 10.2298/FIL2215161Y
LA  - en
ID  - 10_2298_FIL2215161Y
ER  - 
%0 Journal Article
%A Wengui Yang
%T Certain weighted young and Pólya-Szegö-type inequalities involving Marichev-Saigo-Maeda fractional integral operators with applications
%J Filomat
%D 2022
%P 5161 
%V 36
%N 15
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2215161Y/
%R 10.2298/FIL2215161Y
%G en
%F 10_2298_FIL2215161Y

Cité par Sources :