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 Mining Intelligence and Knowledge Exploration by M. Mursaleen
Cover of the book International Policy Diffusion and Participatory Budgeting by M. Mursaleen
Cover of the book Inventory Control Models with Motivational Policies by M. Mursaleen
Cover of the book Success and Failure of IS/IT Projects by M. Mursaleen
Cover of the book Human Trafficking Finances by M. Mursaleen
Cover of the book Performance Management for Agile Organizations by M. Mursaleen
Cover of the book Hybrid Systems Biology by M. Mursaleen
Cover of the book Cooperative Spectrum Sensing and Resource Allocation Strategies in Cognitive Radio Networks by M. Mursaleen
Cover of the book Sensuous Learning for Practical Judgment in Professional Practice by M. Mursaleen
Cover of the book Tillich and the Abyss by M. Mursaleen
Cover of the book African Immigrant Traders in Inner City Johannesburg by M. Mursaleen
Cover of the book Sustainable Real Estate by M. Mursaleen
Cover of the book Your Passport to Gifted Education by M. Mursaleen
Cover of the book Philosophical, Logical and Scientific Perspectives in Engineering by M. Mursaleen
Cover of the book Egypt in Crisis 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