International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 13, Article ID 79196, 7 pages
doi:10.1155/IJMMS/2006/79196
On weighted inequalities for certain fractional integral operators
R.K. Raina
Department of Mathematics, College of Technology and Engineering, MP University of Agriculture and Technology, Udaipur, Rajasthan 313 001, India
Abstract
This paper considers the modified fractional integral operators involving the Gauss hypergeometric function and obtains weighted inequalities for these operators. Multidimensional fractional integral operators involving the H-function are also introduced.