An Equivalence between the Limit Smoothness and the Rate of Convergence for a General Contraction Operator Family
Let X be a topological space equipped with a complete positive σ-finite measure and T a subset of the reals with 0 as an accumulation point. Let atx,y be a nonnegative measurable function on X×X which integrates to 1 in each variable. For a function f∈L2X and t∈T, define Atfx≡∫ atx,yfy dy. We assume...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2020-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/8866826 |