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 |
Externí odkaz: |