DATE_SUB(
  DATE_ADD(MAKEDATE(year, 1), INTERVAL cw WEEK),
  INTERVAL WEEKDAY(
    DATE_ADD(MAKEDATE(year, 1), INTERVAL cw WEEK)
  ) -1 DAY),

SELECT STR_TO_DATE('2013 32 Tuesday', '%X %V %W');

'2013-08-13'

mysql> select DATE_ADD(MAKEDATE(2011, 1), INTERVAL 1 WEEK);
+----------------------------------------------+
| DATE_ADD(MAKEDATE(2011, 1), INTERVAL 1 WEEK) |
+----------------------------------------------+
| 2011-01-08                                   |
+----------------------------------------------+

mysql> select date_add('2012-01-01', interval (8 - dayofweek('2011-01-01')) % 7 DAY);
+------------------------------------------------------------------------+
| date_add('2012-01-01', interval (8 - dayofweek('2011-01-01')) % 7 DAY) |
+------------------------------------------------------------------------+
| 2012-01-02                                                             |
+------------------------------------------------------------------------+

mysql> select date_add( date_add('2010-01-01', interval (8 - dayofweek('2010-01-01')) % 7 DAY) , interval 9 week);
+-----------------------------------------------------------------------------------------------------+
| date_add( date_add('2010-01-01', interval (8 - dayofweek('2010-01-01')) % 7 DAY) , interval 9 week) |
+-----------------------------------------------------------------------------------------------------+
| 2010-03-07                                                                                          |
+-----------------------------------------------------------------------------------------------------+

mysql> select date_add( date_add( date_add('2010-01-01', interval (8 - dayofweek('2010-01-01')) % 7 DAY) , interval 9 week), interval 2 day);
+--------------------------------------------------------------------------------------------------------------------------------+
| date_add( date_add( date_add('2010-01-01', interval (8 - dayofweek('2010-01-01')) % 7 DAY) , interval 9 week), interval 2 day) |
+--------------------------------------------------------------------------------------------------------------------------------+
| 2010-03-09                                                                                                                     |
+--------------------------------------------------------------------------------------------------------------------------------+

select
date_add(
    date_add(
        date_add('<year>-01-01', interval (8 - dayofweek('<year>-01-01')) % 7 DAY)
        , interval <week-1> week)
    , interval <dayOfWeek> day
);

SELECT STR_TO_DATE('2019 1 Monday', '%x %v %W') -- beginning of week

SELECT STR_TO_DATE('2019 1 Sunday', '%x %v %W') -- end of week

SET @week=1;
SET @year=2014;
SET @x_weeks_after_new_year=DATE_ADD(MAKEDATE(@year, 1), INTERVAL (SELECT IF(WEEKOFYEAR(MAKEDATE(@year, 1))>50 , 0 , -1))+@week WEEK);
SELECT
  CONCAT(@year, '-', @week) WeekOfYear,
  @weekStart:=DATE_SUB(@x_weeks_after_new_year, INTERVAL WEEKDAY(@x_weeks_after_new_year) DAY) Monday,
  DATE_ADD(@weekStart, INTERVAL 6 DAY) Sunday

+------------+------------+------------+
| WeekOfYear |   Monday   |   Sunday   |
+------------+------------+------------+
|   2014-1   | 2013-12-30 | 2014-01-05 |
+------------+------------+------------+

SET DATEFIRST 1
declare @wk int  set @wk = 33
declare @yr int  set @yr = 2011

select dateadd (week, @wk, dateadd (year, @yr-1900, 0)) - 2 -
     datepart(dw, dateadd (week, @wk, dateadd (year, @yr-1900, 0)) - 4) as date

2011-08-16 00:00:00.000

DELIMITER $$
CREATE FUNCTION fn_yearweek_to_date(
    var_yearweek INTEGER UNSIGNED,
    var_weekday ENUM(
        'Monday',
        'Tuesday',
        'Wednesday',
        'Thursday',
        'Friday',
        'Saturday',
        'Sunday'
        )
    )
RETURNS DATE DETERMINISTIC
BEGIN
    RETURN STR_TO_DATE(CONCAT(var_yearweek, var_weekday), '%x%v%W');
END;
DELIMITER ;

SELECT
    fn_yearweek_to_date(YEARWEEK(NOW(), 1), 'Sunday'),
    fn_yearweek_to_date(YEARWEEK(NOW(), 1), 7)
;