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The theory of summability has many uses throughout analysis and applied mathematics. Engineers and physicists working with Fourier series or analytic continuation will also find the concepts of summability theory valuable to their research. The concepts of summability have been extended to the sequences of fuzzy numbers and also to the theorems of ergodic theory. This ebook explains various aspects of summability and demonstrates applications in a coherent manner. The content can readily serve as a useful series of lecture notes on the subject. This ebook comprises of 8 chapters starting from classical sequence spaces and covering matrix transformations and fuzzy numbers. An accompanying bibliography with extensive references makes this a valuable source of information for readers interested in summability theory as well as other branches of science.
Preface
Infinite Matrices
Normed and Paranormed Sequence Spaces
Matrix Transformations in Sequence Spaces
Matrix Domains in Sequence Spaces
Spectrum of Some Particular Limitation Matrices
Core of a Sequence
Double Sequences
Sequences of Fuzzy Numbers
Bibliography
List of Abbreviations and Symbols
Index