Note on THE l-TRANSLATIVITY OF Matrix Based on Convergent Infinite Geometric Series

  • Mulatu Lemma Savannah State University Savannah,
  • Keith Fuller Savannah State University Savannah,
DOI: https://doi.org/10.53555/m.v3i11.1601
Keywords: Note, l-TRANSLATIVITY, Matrix, Based on, Convergent, Infinite, Geometric, Series

Abstract

The infinite Geometric Series is a series of the form .
0


k
k
ax
The
geometric power series


k0
k
ax
converges for
x
<1 and is equal to
x
a
1 .
Let g be sequence in (0, 1) that converges to 1. The matrix based on
convergent infinite geometric series defined as = (1- . We
denote this matrix by M
g
and name it geometric matrix. M
g
is a
sequence to sequence mapping. When a matrix M
g
is applied to a
sequence x, we get a new sequence M
g
whose nth term is given by:

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Author Biographies

Mulatu Lemma, Savannah State University Savannah,

Department of Mathematics

Keith Fuller, Savannah State University Savannah,

Department of Mathematics

Published
2017-11-30
How to Cite
Lemma, M., & Fuller, K. (2017). Note on THE l-TRANSLATIVITY OF Matrix Based on Convergent Infinite Geometric Series. IJRDO -JOURNAL OF MATHEMATICS, 3(11), 26-31. https://doi.org/10.53555/m.v3i11.1601
Issue
Vol. 3 No. 11 (2017): IJRDO-Journal of Mathematics
Section
Articles

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