Show MySQL host via SQL Command

To get current host name :-

select @@hostname;
show variables where Variable_name like '%host%';

To get hosts for all incoming requests :-

select host from information_schema.processlist;

Based on your last comment,
I don't think you can resolve IP for the hostname using pure mysql function,
as it require a network lookup, which could be taking long time.

However, mysql document mention this :-

resolveip google.com.sg

docs :- http://dev.mysql.com/doc/refman/5.0/en/resolveip.html

Maybe

mysql> show processlist;

I think you try to get the remote host of the conneting user...

You can get a String like 'myuser@localhost' from the command:

SELECT USER()

You can split this result on the '@' sign, to get the parts:

-- delivers the "remote_host" e.g. "localhost" 
SELECT SUBSTRING_INDEX(USER(), '@', -1) 

-- delivers the user-name e.g. "myuser"
SELECT SUBSTRING_INDEX(USER(), '@', 1)

if you are conneting via ip address you will get the ipadress instead of the hostname.