Daniel Ek, CEO and founder of Spotify, gave thanks in a comment on Thursday.
"Thank you Steve. You were a true inspiration in so many parts of my life, both personal and professional. My hat off to our time's Da Vinci," Ek wrote via Twitter.
Sweden's foreign minister Carl Bildt called Jobs "one of the greatest innovators of our age" in a Twitter post on Thursday.
"His revolutionary entrepreneurship opened vast new horizons," Bildt added.
Technology giant Apple, which briefly became the world's most valuable company last month, confirmed Steve Jobs' death in a statement.
"Steve’s brilliance, passion and energy were the source of countless innovations that enrich and improve all of our lives. The world is immeasurably better because of Steve," Apple's board of directors wrote.
Jobs, who resigned as CEO of the firm only last month citing his deteriorating health, was as known for his inspirational approach to life as for his innovation which turned the ailing mid-1990s firm into a 21st century tech powerhouse.
His work and his life have been recognised by the likes of Bill Gates, Barack Obama, Facebook CEO Mark Zuckerberg in statements on Thursday, a measure of the esteem in which he was held even by Apple's arch business rivals.
Swedish telecom analyst Helena Nordman-Knutson, at the Pareto Öhman brokerage, said that while Jobs' death was expected, after a long public battle with cancer, she considered the timing highly symbolic, only days after the new iPhone model was presented.
"Apple already has a new CEO and Apple still have their creative engineers and their creative people. But now it is for them to add charisma to the mix, to keep up that spark of life and mystery. It will be their major challenge," she told news agency TT.
Steve Jobs himself is known for a plethora of insightful sparks of wisdom.
He once famously asked John Sculley, in a (successful) bid to recruit him to Apple Computers in 1983, "do you really want to spend your days slaving over work that fails to inspire, on stuff that fails to count, for reasons that fail to touch the soul of anyone?"
And one of the late business icon's most oft-quoted missives in the Swedish Twittersphere on Thursday touched on this theme.
“Your time is limited, so don't waste it living someone else's life."
Steve Jobs, who once declared that he doesn't want to be the 'richest man in the cemetery' leaves behind him a personal fortune in excess of $8 billion.