Advances in Summability and Approximation Theory Gebunden

This book discusses the Tauberian conditions under which convergence follows from statistical summability various linear positive operators Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus which is one of the currently active areas of research in approximation theory. Presenting original papers by internationally recognized authors the book is of interest to a wide range of mathematicians whose r esearch areas include summability and approximation theory.One of the most active areas of research in summability theory is the concept of statistical convergence which is a generalization of the familiar and widely investigated concept of convergence of real and complex sequences and it has been used in Fourier analysis probability theory approximation theory and in other branches of mathematics. The theory of approximation deals with how functions can best be approximated with simpler functions. In the study of approximation of functions by linear positive operators Bernstein polynomials play a highly significant role due to their simple and useful structure. And during the last few decades different types of research have been dedicated to improving the rate of convergence and decreasing the error of approximation.