Abstract
The Silverman–Toeplitz theorem is a well-known theorem that states necessary and sufficient conditions to transform a convergent sequence into a convergent sequence leaving the limit invariant. This idea was extended to RH-regular matrices by using the notion of P-convergence (see Hamilton in Duke Math. J. 2:29–60, 1936 and Robinson in Trans. Am. Math. Soc. 28:50–73, 1926). In this chapter, we use the notion of almost convergence to define and characterize almost conservative, almost regular, strongly regular, and almost strongly regular four-dimensional matrices.
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Mursaleen, M., Mohiuddine, S.A. (2014). Almost Regular Matrices. In: Convergence Methods for Double Sequences and Applications. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1611-7_3
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DOI: https://doi.org/10.1007/978-81-322-1611-7_3
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-1610-0
Online ISBN: 978-81-322-1611-7
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