Introductory Course In Summability Theor
Aasma, Ants; Dutta, Hemen; Natarajan, P. N.
An introductory course in summability theory for students, researchers, physicists, and engineers
In creating this book, the authors’ intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects. Following a brief introduction to the history of summability theory, general matrix methods are introduced, and the Silverman-Toeplitz theorem on regular matrices is discussed. A variety of special summability methods, including the Nörlund method, ... Read more
• Discusses results on matrix transforms of several matrix methods
• The only English-language textbook describing the notions of convergence, boundedness, and summability with speed, as well as their applications in approximation theory
• Compares the approximation orders of Fourier expansions in Banach spaces by different matrix methods
• Matrix transforms of summability domains of regular perfect matrix methods are examined
• Each chapter contains several solved examples and end-of-chapter exercises, including hints for solutions
An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation.
ANTS AASMA, PhD, is Associate Professor of Mathematical Economics in the Department of Economics and Finance at Tallinn University of Technology, Estonia.
HEMEN DUTTA, PhD, is Senior Assistant Professor of Mathematics at Gauhati University, India.
P.N. NATARAJAN, PhD, is Formerly Professor and Head of the Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, Tamilnadu, India.
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