International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 5, Pages 283-290
doi:10.1155/S0161171202112245
Exponential inequalities for a class of operators
Department of Mathematics and Statistics, McMaster University, Hamilton L8S 4K1, Ontario, Canada
Received 7 December 2001
Copyright © 2002 Hans P. Heinig. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Characterizations of weight pairs are proved for which weighted
exponential-logarithmic integral inequalities are satisfied. The
results given contain characterizations of weights for which
inequalities involving the Riemann-Liouville and Laplace type
operators hold.