The phrase "on my tablet" is correct and commonly used in written English.
It is used to indicate that something is being done or accessed on a tablet device. Example: "I like to read books on my tablet because I can easily carry it with me wherever I go."
It can mean I am presented with relevant and welcome marketing online and in my inbox, based on what I searched for on the Web, what I respond to on my tablet, what I buy in stores and what loyalty program I have opted into.
When I'm on my tablet, I can't be bothered".
"If it's not on my tablet, it's just not useful anymore".
Outside I sat down on a cement step and scanned headlines on my tablet computer.
When I'm on my tablet, I think before I act, when I'm off, I think after.
Can I get back issues of The New Yorker's magazine app on my tablet or e-reader?
Some participants perceived a loss of self-identity, and felt that medication diminished positive aspects of ADHD, such as sociability (" When I'm on my tablets I'm a totally different person. I can't socialise. I am so socially awkward" P11).
Yet, despite all that, every few hours, I'm on my laptop, tablet or smartphone — sipping Gallup, chugging Rasmussen, gulping Pew, trying to figure out how it will all go down.
As someone who is used to a "retina" display on my phone, tablet, and even now computer, the downgrade to a non-retina display is quite noticeable.
I'm not the only user who is seeing the tools he uses for personal productivity shift from some weird mix of web and mobile to increasingly connected apps which live on my smartphone, tablet, and now also my desktop.
I spend a lot of time on my phone and my tablet, tweeting.
