Titlebook: Current Topics in Summability Theory and Applications; Hemen Dutta,Billy E. Rhoades Book 2016 Springer Science+Business Media Singapore 20

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On Summability, Multipliability, and Integrability,notions of convergence of infinite series and products. The members of the families are assumed to be elements of general Banach spaces or Banach algebras, but most of our results are new even in the real-valued case. Our studies are also motivated by problems in integration theory of functions of o

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Multi-dimensional Summability Theory and Continuous Wavelet Transform,ansforms are considered, the circular and rectangular summability. Norm and almost everywhere convergence of the .-means are shown for both types. The inversion formula for the continuous wavelet transform is usually considered in the weak sense. Here, the inverse wavelet transform is traced back to

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Some Applications of Summability Theory,summability theory in sequence spaces define by modulus function, Orlicz function, and summability methods, which are related to statistical convergence and their applications. Also we will discuss topological and geometric properties of the sequence spaces, such as the .-property, Banach-Saks prope

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Hemen Dutta,Billy E. RhoadesContains both classical and modern methods in summability theory.Focuses on the basic developments concerning an idea in full details.Integrates theories as well as applications, wherever possible.Inc

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