rsyslog

/var/log/syslog
{
        rotate 0
        daily
        missingok
        notifempty
        delaycompress
        postrotate
                invoke-rc.d rsyslog rotate > /dev/null
        endscript
}

/var/log/mail.info
/var/log/mail.warn
/var/log/mail.err
/var/log/mail.log
/var/log/daemon.log
{
        rotate 0
        daily
        missingok
        notifempty
        delaycompress
        #compress
        postrotate
                invoke-rc.d rsyslog rotate > /dev/null
        endscript
}
/var/log/kern.log
/var/log/auth.log
/var/log/user.log
/var/log/lpr.log
/var/log/cron.log
/var/log/debug
/var/log/messages
{
        rotate 0
        daily
        missingok
        notifempty
        delaycompress
        sharedscripts
        postrotate
                invoke-rc.d rsyslog rotate > /dev/null
        endscript
}
/var/log/kamailio.log
{
        rotate 0
        daily
        missingok
        notifempty
        delaycompress
        sharedscripts
        postrotate
                invoke-rc.d rsyslog rotate > /dev/null
        endscript
}