New Summability Method and Applications

This book is meant to serve as a first course in summability theory for graduate, postgraduate and research students. This book serves as both a textbook and a reference for students and scholars. Any student who is proficient in real and complex analysis will be able to navigate through the entire chapter easily. It is well known how the understanding of summability influenced the creation of functional analysis. Convergence of infinite series is just a special case of editability, so no further emphasis is needed on its importance. It's also fascinating to note how the idea of negative order summability makes it clear how infinite series behave in terms of converence.