Download or read book Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series written by Sagun Chanillo and published by American Mathematical Soc.. This book was released on 1993 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work completely characterizes the behaviour of Cesaro means of any order of the Jacobi polynomials. In particular, pointwise estimates are derived for the Cesaro mean kernel. Complete answers are given for the convergence almost everywhere of partial sums of Cesaro means of functions belonging to the critical L ]p spaces. This characterization is deduced from weak type estimates for the maximal partial sum operator. The methods used are fairly general and should apply to other series of special functions.