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An Introduction to Ultrametric Summability Theory pp 63–88Cite as

The Nörlund and The Weighted Mean Methods

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Part of the book series: Forum for Interdisciplinary Mathematics ((FFIM,volume 2))

Abstract

In this chapter, we introduce the Nörlund and the Weighted Mean methods in the ultrametric set-up and their properties are elaborately discussed. We also show that the Mazur–Orlicz theorem and Brudno’s theorem fail to hold in the ultrametric case.

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Authors and Affiliations

  1. Formerly of the Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, Tamil Nadu, India

    P. N. Natarajan

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  1. P. N. Natarajan
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Correspondence to P. N. Natarajan .

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Natarajan, P.N. (2015). The Nörlund and The Weighted Mean Methods. In: An Introduction to Ultrametric Summability Theory. Forum for Interdisciplinary Mathematics, vol 2. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2559-1_5

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