Understanding Concave and Convex Functions

In this video I break down the formal definition of a concave function and attempt to explain all aspects and variables used in the definition. Being that a convex function is just the opposite in terms of its definition, once one of them is well understood the other is also understood.
If anyone has any questions or is still unsure on any concepts covered in the vid put them in the comment section and il try my best to answer.

[@viktorszasz6771]

My man! This is the best explaination I've found, yet I've searched in 3 languages.

[@vaishakmuralidharan7605]

Been breaking my head over understanding jensen's inequality, this was a really clear, unassuming explanation! Thank you a ton

[@dindor138]

Now the defination do not seem daunting at all after you've explained the design of the defination. Very helpful to me. Thank you.

[@mightym3209]

Simply best! Thank you for such a detailed and step-by-step explanation.

[@huntergiles]

I have been stuck on this for days. thank you so much

[@abdoennajah2702]

Finally i understood. Thank you for this great explanation

[@debasishguha6835]

Explained a pretty complicated topic very nicely. It is easy to visualize and understand the definition after watching this video. However, the points x and y are chosen such that f(L) > both f(x) and f(y). I have been trying to convince myself how this would have worked if y was such that f(y) was more around the crest and f(L) in that case would have lied between f(x) and f(y).

[@ouafaeraibi7847]

amazingly explained, Thank you!

[@RayRay-yt5pe]

Thank you very much. You've just gained a new subscriber.

[@N0N5T0P]

Excellent video!!! The only thing I'm wondering about is about the strictly convex/concave functions. It seems to me that whenever lambda is either 0 or 1, the two sides of the "inequality" will always be equal. You even mentioned that in your video. But how can we EVER have a strictly convex/concave function then, with this definition? Do you have to change lambda to be 0<lambda<1 instead of 0=<lambda=<1 perhaps (when trying to show strict convexity/concavity)?

[@imaadnaeemansari8693]

Great explanation!!

[@jayneabrown]

Super helpful. Thank you so much.

[@omniscienceisdead8837]

im coming in from time series for deep learning , keep it up broo

[@nq2c]

this was super helpful thank you!

[@bilenkeziban6237]

Well explained, thank you!

[@rohan45]

Great explanation

[@arwaalshikrian5354]

Extremely helpful

[@rishiraj5711]

Thanks for this.❤

[@hypebeastuchiha9229]

That was really helpful thanks

[@devinahluwalia9289]

Was very helpful, cheers 🍺