Summability Theory and Its Applications explains various aspects of
summability and demonstrates its applications in a rigorous and
coherent manner. The content can readily serve as a reference or as
a useful series of lecture notes on the subject. This substantially
revised new edition includes brand new material across several
chapters as well as several corrections, including: the addition of
the domain of Cesaro matrix C(m) of order m in the classical
sequence spaces to Chapter 4; and introducing the domain of
four-dimensional binomial matrix in the spaces of bounded,
convergent in the Pringsheim's sense, both convergent in the
Pringsheim's sense and bounded, and regularly convergent double
sequences, in Chapter 7. Features Investigates different types of
summable spaces and computes their dual Suitable for graduate
students and researchers with a (special) interest in spaces of
single and double sequences, matrix transformations and domains of
triangle matrices Can serve as a reference or as supplementary
reading in a computational physics course, or as a key text for
special Analysis seminars.
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