Summability Theory and Its Applications

<p><strong><em>Summability Theory and Its Applications</em></strong> 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. </p><p>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. </p><p>Features </p><ul> <p> </p> <li>Investigates different types of summable spaces and computes their dual </li> <li>Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences matrix transformations and domains of triangle matrices </li> <li>Can serve as a reference or as supplementary reading in a computational physics course or as a key text for special Analysis seminars.</li> </ul>