Some New Classes Of Sequences And Associated Structures: Difference Sequences, Orlicz Extension, Matrix Class Characterization, Duals And N-Normed Valued Sequences

Dutta, Hemen; Dutta, Hemen

ISBN 10: 3659265136 / ISBN 13: 9783659265136

Published by Lap Lambert Academic Publishing, 2012

About this Item

92 pages. 8.66x5.91x0.21 inches. In Stock.

Seller Inventory # 3659265136

Bibliographic Details

• Title: Some New Classes Of Sequences And Associated Structures: Difference Sequences, Orlicz Extension, Matrix Class Characterization, Duals And N-Normed Valued Sequences
• Publisher: Lap Lambert Academic Publishing
• Publication Date: 2012
• Language: English
• ISBN 10: 3659265136
• ISBN 13: 9783659265136
• Binding: Paperback
• Condition: Brand New
• Weight: 0.19 kilograms

About this title

Synopsis

The theories of difference sequences and associated notions like Orlicz extension, summability, matrix transformation and duality have many uses throughout analysis and applied mathematics. The same is the case for n-normed structures. This book explains various aspects of difference sequence spaces, n-normed valued sequences and demonstrates applications in a coherent manner. This book comprises of 5 chapters starting from Orlicz extension of difference sequences, algebraic and topological properties of difference sequences constructed in comparison with some classical sequence spaces, characterization of matrix classes involving some summable difference sequences spaces, Banach algebra of some matrix classes, computation of equivalent matrix classes, determination of the algebraic duals of some Orlicz extended sets of difference sequences to the construction of n-normed linear space valued sequences with results on convergence and completeness related properties in such classes of sequences. This book will be useful for researchers and professionals in sequence space and associated notions as well as can readily serve as a useful series of lecture notes on the subject.

About the Author

The author is working as an Assistant Professor in Gauhati University. He has to his credit 22 research publications in high impact or reputed journals and reviewing continuously for Mathematical Reviews, Zentralblatt MATH and academic journals. His field of research includes mathematical analysis and fuzzy mathematical analysis.