$.ajax({
        url: 'https://api.partners.bazoeka.com/latest/api/postcodecheck?&format=json',
        method: 'GET',
        crossDomain: true,
        beforeSend: function (xhr) {
        xhr.setRequestHeader('username:myUsername', 'password:myPassword','apikey:apiKey');
    }

   }).done(function () {
         console.log("connected!");
         //do stuff
        });

curl  -H"username:myUsername" -H"password:myPassword" -H "apikey:apiKey" "https://api.partners.bazoeka.com/latest/api/postcodecheck?&format=json&postcode=1010AA&housenr=1"