The part of the sentence 'i apologize for the inconvenience this may have caused' is correct and usable in written English. You can use it when something has gone wrong and caused an inconvenience for someone else. For example: "I apologize for the inconvenience this may have caused, but due to a change in our production schedule, your order will be delayed."
"I apologize for any confusion this may have caused".
f) We must apologize for the inconvenience that this may have caused the readers.
The publishers apologize for any inconvenience this may have caused.
The publishers would like to apologize for any inconvenience this may have caused.
The author would like to apologize for any inconvenience this may have caused.
The site has now been restored, and we apologize for any inconvenience this may have caused".
We apologize for any inconvenience this may have caused.
We regret this has taken place and apologize for any inconvenience this may have caused you.
We apologize for any inconvenience this may have caused you or your customers.
We apologize for any inconvenience this may have caused". Alaska Airlines is slightly more apologetic (and helpful) about the inconvenience that the outage has caused its customers.
Again, we apologize for any inconvenience this may have caused.
Ludwig does not simply clarify my doubts with English writing, it enlightens my writing with new possibilities
Simone Ivan Conte
Software Engineer at Adobe, UK