Open AccessGENERALIZED MULTIVARIATE PRABHAKAR TYPE FRACTIONAL INTEGRALS AND INEQUALITIES
Author(s) -
George A. Anastassiou
Publication year - 2021
Publication title -
journal of inequalities and special functions
Language(s) - English
Resource type - Journals
ISSN - 2217-4303
DOI - 10.54379/jiasf-2021-4-1
Subject(s) - multivariate statistics , mathematics , convexity , type (biology) , multivariate analysis , inequality , pure mathematics , mathematical analysis , statistics , finance , economics , ecology , biology
We introduce here the mixed generalized multivariate Prabhakar type left and right fractional integrals and study their basic properties, such as preservation of continuity and their boundedness as positive linear operators. Then we produce an interesting variety of related multivariate left and right fractional Hardy type inequalities under convexity. We introduce also other related multivariate fractional integrals