Certain weighted young and Pólya-Szegö-type inequalities involving Marichev-Saigo-Maeda fractional integral operators with applications

Autor: Wengui Yang
Rok vydání: 2022
Předmět:
Zdroj: Filomat. 36:5161-5178
ISSN: 2406-0933
0354-5180
Popis: In this paper, we establishes certain new weighted Young and P?lya-Szeg?-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.
Databáze: OpenAIRE