Simple:
Cron job weekly at 5am
crontab: 0 5 * * 1 /var/www/log/logrotate.sh
#!/bin/bash
MAXSIZE=1024
LOGDIR=/var/www/log/
if [[ $EUID -ne 0 ]]; then
echo "This script must be run as root" 1>&2
exit 1
fi
cd $LOGDIR
for FILENAME in *.log; do
SIZE=$(du -b $FILENAME | cut -f 1)
if(($SIZE>$MAXSIZE)); then
TIMESTAMP=`date +%Y%m%d`
NEWFILENAME=$FILENAME.$TIMESTAMP
mv $FILENAME $NEWFILENAME
touch $FILENAME
chown www-data.tamer $FILENAME
gzip -f -9 $NEWFILENAME
chown tamer.www-data $NEWFILENAME.gz
fi
done