The -translativity of Abel-type matrix.
The Abel-type transformations into .
Logarithmic matrix transformations into .
Abel-type weighted means transformations into .
The Abel-type transformtions into .
Four dimensional matrix characterization of double oscillation via RH-conservative and RH-multiplicative matrices
In 1939 Agnew presented a series of conditions that characterized the oscillation of ordinary sequences using ordinary square conservative matrices and square multiplicative matrices. The goal of this paper is to present multidimensional analogues of Agnew’s results. To accomplish this goal we begin by presenting a notion for double oscillating sequences. Using this notion along with square RH-conservative matrices and square RH-multiplicative matrices, we will present a series of characterization...
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