Applied Summability Methods

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Number Theory
Cover of the book Applied Summability Methods by M. Mursaleen, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: M. Mursaleen ISBN: 9783319046099
Publisher: Springer International Publishing Publication: March 27, 2014
Imprint: Springer Language: English
Author: M. Mursaleen
ISBN: 9783319046099
Publisher: Springer International Publishing
Publication: March 27, 2014
Imprint: Springer
Language: English

This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrix transformations, regular matrices and some special matrices, making the material accessible to mathematicians who are new to the subject. Among the core items covered are the proof of the Prime Number Theorem using Lambert's summability and Wiener's Tauberian theorem, some results on summability tests for singular points of an analytic function, and analytic continuation through Lototski summability. Almost summability is introduced to prove Korovkin-type approximation theorems and the last chapters feature statistical summability, statistical approximation, and some applications of summability methods in fixed point theorems.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrix transformations, regular matrices and some special matrices, making the material accessible to mathematicians who are new to the subject. Among the core items covered are the proof of the Prime Number Theorem using Lambert's summability and Wiener's Tauberian theorem, some results on summability tests for singular points of an analytic function, and analytic continuation through Lototski summability. Almost summability is introduced to prove Korovkin-type approximation theorems and the last chapters feature statistical summability, statistical approximation, and some applications of summability methods in fixed point theorems.

More books from Springer International Publishing

Cover of the book Mitigating Environmental Impact of Petroleum Lubricants by M. Mursaleen
Cover of the book Information Systems and Neuroscience by M. Mursaleen
Cover of the book Enhancing Energy Efficiency in Irrigation by M. Mursaleen
Cover of the book Multistate Analysis of Life Histories with R by M. Mursaleen
Cover of the book Sustainable Operations Management by M. Mursaleen
Cover of the book The Empire’s Patriotic Fund by M. Mursaleen
Cover of the book Microbiome and Cancer by M. Mursaleen
Cover of the book Escherichia coli in the Americas by M. Mursaleen
Cover of the book On-Surface Atomic Wires and Logic Gates by M. Mursaleen
Cover of the book Fracture Mechanics of Piezoelectric Solids with Interface Cracks by M. Mursaleen
Cover of the book Data Management Technologies and Applications by M. Mursaleen
Cover of the book The Archaeology of Food and Warfare by M. Mursaleen
Cover of the book Cities and Mega-Cities by M. Mursaleen
Cover of the book Theory and Applications of Formal Argumentation by M. Mursaleen
Cover of the book Intelligent Automation in Renewable Energy by M. Mursaleen
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy