NEW YORK ( TheStreet) -- Apple ( AAPL) CEO Tim Cook paid tribute to Steve Jobs on the one-year anniversary of the tech icon's death. In a message on Apple's home page, Cook praised his predecessor's contributions, both to Apple and to the broader world of technology. "One of the greatest gifts Steve gave to the world is Apple," Cook wrote. "No company has ever inspired such creativity or set such high standards for itself. Our values originated from Steve and his spirit will forever be the foundation of Apple." Jobs, who stepped down from the Apple CEO's role in August 2011, was 56 when he lost his long battle with pancreatic cancer last year. "Steve's passing one year ago today was a sad and difficult time for all of us," noted Cook. "I hope that everyone today will reflect on his extraordinary life and the many ways he made the world a better place." Apple also posted a video tribute on its Web site showing Jobs as most people remember in him, proudly unveiling products such as the iMac, iPod and iPhone. The succession of black and white still images, set to Johann Sebastian Bach's moving cello suite "No.1 prelude," is interspersed with quotes from Jobs. In his statement, Cook said that Apple's employees "share the great privilege and responsibility" of carrying Jobs' legacy into the future. "I'm incredibly proud of the work we are doing, delivering products that our customers love and dreaming up new ones that will delight them down the road," he added. "It's a wonderful tribute to Steve's memory and everything he stood for." Cook has certainly had a busy time since taking the company's helm last year, unveiling the iPhone 4S, the new iPad, a major Mac refresh, and most recently, the iPhone 5. Speculation is mounting that the tech giant will soon unveil an iPad Mini and rumors continue to swirl around a new Apple TV, which could make its debut in 2013. Despite some initial concerns about his ability to continue Jobs' phenomenal track record for innovation, Cook has won plaudits for his performance in the Apple hot seat. Some 74% of the respondents to TheStreet's ongoing poll said that Cook's doing "a great job." A little over 23% said that "the jury's still out" and just 2.5% describe the Apple CEO as "a disappointment." Shares of Apple, which have gained more than 74% in the last 12 months, dipped 0.5% to $663.51 in early trading Friday. --Written by James Rogers in New York. Follow @jamesjrogers >To submit a news tip, send an email to: firstname.lastname@example.org.