Best way to check for "empty or null value"

The expression stringexpression = '' yields:

TRUE   .. for '' (or for any string consisting of only spaces with the data type char(n))
NULL   .. for NULL
FALSE .. for anything else

So to check for: "stringexpression is either NULL or empty":

(stringexpression = '') IS NOT FALSE

Or the reverse approach (may be easier to read):

(stringexpression <> '') IS NOT TRUE

Works for any character type including char(n). The manual about comparison operators.

Or use your original expression without trim(), which is costly noise for char(n) (see below), or incorrect for other character types: strings consisting of only spaces would pass as empty string.

coalesce(stringexpression, '') = ''

But the expressions at the top are faster.

Asserting the opposite is even simpler: "stringexpression is neither NULL nor empty":

stringexpression <> ''

About char(n)

This is about the data type char(n), short for: character(n). (char / character are short for char(1) / character(1).) Its use is discouraged in Postgres:

In most situations text or character varying should be used instead.

Do not confuse char(n) with other, useful, character types varchar(n), varchar, text or "char" (with double-quotes).

In char(n) an empty string is not different from any other string consisting of only spaces. All of these are folded to n spaces in char(n) per definition of the type. It follows logically that the above expressions work for char(n) as well - just as much as these (which wouldn't work for other character types):

coalesce(stringexpression, '  ') = '  '
coalesce(stringexpression, '') = '       '

Demo

Empty string equals any string of spaces when cast to char(n):

SELECT ''::char(5) = ''::char(5)     AS eq1
     , ''::char(5) = '  '::char(5)   AS eq2
     , ''::char(5) = '    '::char(5) AS eq3;

Result:

 eq1 | eq2 | eq3
 ----+-----+----
 t   | t   | t

Test for "null or empty string" with char(n):

SELECT stringexpression 
     , stringexpression = ''                   AS base_test
     , (stringexpression = '')  IS NOT FALSE   AS test1
     , (stringexpression <> '') IS NOT TRUE    AS test2
     , coalesce(stringexpression, '') = ''     AS coalesce1
     , coalesce(stringexpression, '  ') = '  ' AS coalesce2
     , coalesce(stringexpression, '') = '  '   AS coalesce3
FROM  (
   VALUES
     ('foo'::char(5))
   , ('')
   , ('   ')                -- not different from '' in char(n)
   , (NULL)
   ) sub(stringexpression);

Result:

 stringexpression | base_test | test1 | test2 | coalesce1 | coalesce2 | coalesce3 
------------------+-----------+-------+-------+-----------+-----------+-----------
 foo              | f         | f     | f     | f         | f         | f
                  | t         | t     | t     | t         | t         | t
                  | t         | t     | t     | t         | t         | t
 null             | null      | t     | t     | t         | t         | t

Test for "null or empty string" with text:

SELECT stringexpression 
     , stringexpression = ''                   AS base_test
     , (stringexpression = '')  IS NOT FALSE   AS test1
     , (stringexpression <> '') IS NOT TRUE    AS test2
     , coalesce(stringexpression, '') = ''     AS coalesce1
     , coalesce(stringexpression, '  ') = '  ' AS coalesce2
     , coalesce(stringexpression, '') = '  '   AS coalesce3
FROM  (
   VALUES
     ('foo'::text)
   , ('')
   , ('   ')                -- different from '' in a sane character types
   , (NULL)
   ) sub(stringexpression);

Result:

 stringexpression | base_test | test1 | test2 | coalesce1 | coalesce2 | coalesce3 
------------------+-----------+-------+-------+-----------+-----------+-----------
 foo              | f         | f     | f     | f         | f         | f
                  | t         | t     | t     | t         | f         | f
                  | f         | f     | f     | f         | f         | f
 null             | null      | t     | t     | t         | t         | f

db<>fiddle here
_{Old sqlfiddle}

Related:

• Any downsides of using data type "text" for storing strings?

Checking for the length of the string also works and is compact:

where length(stringexpression) > 0;

To check for null and empty:

coalesce(string, '') = ''

To check for null, empty and spaces (trim the string)

coalesce(TRIM(string), '') = ''