Characterization of -core and absolute equivalence of double sequences.
Furkan, Hasan, Çakan, Celal (2010)
Journal of Inequalities and Applications [electronic only]
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Furkan, Hasan, Çakan, Celal (2010)
Journal of Inequalities and Applications [electronic only]
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Patterson, Richard F. (2000)
International Journal of Mathematics and Mathematical Sciences
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Patterson, Richard F. (1999)
International Journal of Mathematics and Mathematical Sciences
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Orhan, C. (1990)
International Journal of Mathematics and Mathematical Sciences
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Richard Patterson, Mulatu Lemma (2008)
Open Mathematics
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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...
Richard Patterson, Jeff Connor, Jeannette Kline (2008)
Open Mathematics
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The notion of oscillation for ordinary sequences was presented by Hurwitz in 1930. Using this notion Agnew and Hurwitz presented regular matrix characterization of the resulting sequence space. The primary goal of this article is to extend this definition to double sequences, which grants us the following definition: the double oscillation of a double sequence of real or complex number is given P-lim sup(m,n)→∞;(α,β)→∞|S m,n-S α,β|. Using this concept a matrix characterization of double...
Tripathy, B.C. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Sunil K. Sharma, Ayhan Esi (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In the present paper we introduce some double sequence spaces defined by a sequence of modulus function over -normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces.
Mursaleen, M., Edely, Osama H.H. (2003)
International Journal of Mathematics and Mathematical Sciences
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Maddox, I.J. (1979)
International Journal of Mathematics and Mathematical Sciences
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