Chebyshev Polynomials | Theory & Practice

Today I discuss what are Chebyshev polynomials and why we need them. After Introducing Chebyshev polynomials and their properties, I will write three separate codes to generate Chebyshev polynomials in MATLAB. Chebyshev nodes can help us interpolate functions. They are much better than linearly spaced nodes. In the video I explain why Chebyshev nodes are a better option, and provide an example to show that equally spaced nodes may lead to a wrong result. Watch the video and tell me what you think in the comments. 🔻🔻🔻🔻🔻🔻🔻🔻🔻🔻🔻🔻🔻🔻🔻🔻 Link to other tutorials mentioned in this video: Proof for Chebyshev Polynomials recursion relation: https://www.youtube.com/watch?v=Sgjy1uyYNbc ♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦ If you are looking for a complete tutorial on MATLAB, please consider hitting the SUBSCRIBE button. Or click on the link below: https://bit.ly/3q1he3v So: If you want to learn MATLAB: https://bit.ly/3q1he3v Here's the full Beginner's Guide to MATLAB playlist: https://youtube.com/playlist?list=PLWvk7z0xH-Ke_N7dSsHSeWXJRq-AU0E2H You can also follow us on Instagram: https://www.instagram.com/laplaceacademy/ Facebook: https://www.facebook.com/laplaceacademy LinkedIn: https://www.linkedin.com/company/laplaceacademy/ Twitter: https://twitter.com/laplace_academy 0:00 - Introduction to Chebyshev Polynomials 00:40 - Chebyshev Polynomials in MATLAB 02:40 - Using Chebyshev Polynomials to Interpolate Functions 04:48 - Chebyshev Interpolation vs Equally Spaced Interpolation 06:43 - Changing Chebyshev Interpolation Interval 07:34 - Chebyshev Approximation 08:00 - Chebyshev Polynomials Orthogonality Calculus Numbers Polynomials Algebra Mathematics math maths Chebyshev Chebyshev Polynomials Chebyshev Polynomials in MATLAB MATLAB Chebyshev Polynomials Chebyshev Approximation Chebyshev Polynomials Orthogonality #calculus #polynomials #mathematics