NEW YORK (MarketWatch) -- Hedge-fund legend Leon Cooperman bought more than 1.26 million shares of Apple AAPL +0.49% and more than 5 million shares of private-equity firm Kohlberg Kravis Roberts KKR -2.08% in the second quarter, according to a regulatory filing with the Securities and Exchange Commission submitted on Thursday. Both were new positions. The filing, which details holdings as of June 30, revealed the head of hedge fund Omega Advisors trimmed holdings of Sprint S -0.35% by around 3.452 million shares to just under 40 million shares. Among other new holdings, Cooperman reported nearly 1.09 million shares of Sea World Entertainment SEAS +3.67% , which fell sharply on Tuesday after cutting its full-year sales outlook. Cooperman also added more than 5 million shares of grocery chain Supervalu Inc. SVU -2.92% , bringing his total position at the end of the second quarter to just shy of 7.35 million shares.