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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 47 - 63 (17page)
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For y ∈ R, a sequence x = (xn) ∈l^∞, and a non-negative regular matrix A, Bartoszewicz et. al., in 2015, de ned the notion of the A-density δA(y) of the indices of those xn that are close to y. Their main result states that if the set of limit points of (xn) is countable and density δA(y) exists for any y∈ R where A is a non-negative regular matrix, then lim(Ax)n =Σ y∈R δA(y) y: In this note we rst show that the result can be extended to a more general class of matrices and then consider a conjecture which naturally arises from our investigations.
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참고문헌 (19)
참고문헌 신청
M. Balcerzak / 2007 / Statistical convergence and ideal conver-gence for sequences of functions / J. Math. Anal. Appl 328(1):715~729
A. Bartoszewicz / 2015 / On matrix summability of spliced sequences and A-density of points / Linear Algebra Appl 487:22~42
A. Bartoszewicz / 2011 / Remarks on ideal boundedness, conver-gence and variation of sequences / J. Math. Anal. Appl 375(2):431~435
P. Das / 2012 / Some further results on ideal convergence in topological spaces / Topology Appl 159:2621~2626
H. Fast / 1951 / Sur la convergence statistique / Colloq. Math 2:241~244
A. Bartoszewicz / 2015 / On matrix summability of spliced sequences and A-density of points / Linear Algebra Appl 487:22~42
A. Bartoszewicz / 2011 / Remarks on ideal boundedness, conver-gence and variation of sequences / J. Math. Anal. Appl 375(2):431~435
P. Das / 2012 / Some further results on ideal convergence in topological spaces / Topology Appl 159:2621~2626
H. Fast / 1951 / Sur la convergence statistique / Colloq. Math 2:241~244
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