How to filter delivery WorkItems by using Maturity Level,Engineering Level and Intended Use in java(Code) using API's

Navin,

use a work item query: https://jazz.net/library/article/1007

If this answers your question please mark it accepted.
If it does not please provide more context, i.e. to which UI you refer. "delivery" is not an out-of-the-box type for a work item in RTC and the three attributes are not out-of-the-box attributes either. I happen to know a customer who configured RTC to have "delivery" work items with these attributes. In that case please refer to your Methods & Tools department for links to the internal wiki on e.g. work item queries.

- Arne