Here is a solution for SQL Server. The idea is to use a correlated subquery to identify a minimum RecordTime for each year and month. It should be easy to translate the idea to your DBMS taste.
WITH Data AS ( SELECT CONVERT(DATETIME, '1-May-2011 01:00:00') AS RecordTime, 1.23 AS FormattedValue UNION ALL SELECT CONVERT(DATETIME, '1-May-2011 01:12:34'), 0.99 UNION ALL SELECT CONVERT(DATETIME, '1-May-2011 23:59:59'), 2.34 UNION ALL SELECT CONVERT(DATETIME, '2-May-2011 00:11:22'), 4.56 ) SELECT D1.* FROM Data D1 WHERE D1.RecordTime = (SELECT MIN(RecordTime) FROM Data D2 WHERE YEAR(D2.RecordTime) = YEAR(D1.RecordTime) AND MONTH(D2.RecordTime) = MONTH(D1.RecordTime))
Edit: If your dataset is large, then combining into a subquery should be much faster, but it may be more difficult to translate your taste of the DBMS:
SELECT D1.* FROM Data D1 INNER JOIN ( SELECT MIN(D2.RecordTime) AS FirstMonthlyRecordTime FROM Data D2 GROUP BY YEAR(D2.RecordTime), MONTH(D2.RecordTime) ) AS SubQuery ON D1.RecordTime = SubQuery.FirstMonthlyRecordTime
Edit 2: The following code is the standard version of my first SQL-92 query above (tested on mySQL):
SELECT T1.RecordTime, T1.FormattedValue FROM CDBHistoric T1 WHERE T1.RecordTime = (SELECT MIN(T2.RecordTime) FROM CDBHistoric T2 WHERE EXTRACT(YEAR FROM T1.RecordTime) = EXTRACT(YEAR FROM T2.RecordTime) AND EXTRACT(MONTH FROM T1.RecordTime) = EXTRACT(MONTH FROM T2.RecordTime))
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