Seminars and Colloquia
Mathematics
Wierstrass approximation thm for continuous functions on unit interval by polynomials via weak law for coin tossing and Stirlings formula via local clt for Poisson rv.
Fri, Aug 26, 2016,
10:30 AM to 11:30 AM
at Madhava Hall
Prof. Krishna B. Athreya
Iowa State University
Wierstrass showed that given a continuous real valued function on the unit interval it can be approximated uniformly by a polynomial. We give a proof of this using the weak law for coin tossing. We generalize this the unit simplices and cubes. We also derive Stirlings formula via Fourier series and local central limit theorem.
