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On Abel Convergence of Double Sequences
Numerical Functional Analysis and Optimization, 2010In terms of Berezin symbols, we give the concept of (Ber)-convergence of bounded double sequences. We prove that every (Ber)-convergent double sequence is Abel convergent. In particular, by using the Berezin symbols technique, we prove the following double sequence analog of the classical Abel theorem for the sequences: If the sequence regularly ...
Karaev, M. T., Zeltser, M.
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The Hausdorff Means for Double Sequences
Canadian Mathematical Bulletin, 1967The basic theory of the Hausdorff means for double sequences was developed some thirty - three years ago by C.R. Adams [1], and independently by F. Hallenbach [3], Yet today, many of the properties of these means remain largely uninvestigated. The calculations here, although clearly more complex, for the most part break down into obvious modifications ...
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Rates of Convergence for Double Sequences
Southeast Asian Bulletin of Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Double and linked interpolating sequences
Periodica Mathematica Hungarica, 2015Let \(H^\infty\) denote the space of bounded analytic functions in the unit disc in the complex plane. In this paper, the author introduces a double interpolation problem in \(H^\infty\) considering interpolation of the function and its derivative. The main theorem states that for a sequence in the unit disc the corresponding interpolation problem is ...
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Sequencing of Double-Stranded PCR Products
Molecular Biotechnology, 1996Very often the experimental step following PCR is sequencing of the amplified fragment. Two protocols that allow direct sequencing of a double-stranded PCR product are described. The first involves removal of one strand of the PCR product using an M13 single-stranded DNA clone, allowing the second strand to be sequenced.
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On statistical limit points of double sequences
Applied Mathematics and Computation, 2009The authors study the structure of the set of all statistical limit points of a double sequence. They prove the statistical analogue of the van der Corput difference theorem for double sequences.
Pratulananda Das +2 more
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Double Sequences with Complexity mn+1
J. Autom. Lang. Comb., 1999Journal of Automata, Languages and Combinatorics, Volume 4, Number 3, 1999, 153 ...
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On the Core of Double Sequences
Sarajevo Journal of MathematicsIn this paper, we define the core of double sequences via barriers and disks. We show that these definitions are equivalent and give an inequality related to the P-core of bounded double sequences. 2010 Mathematics Subject Classification. 40B05, 40C05.
Yurdal Sever, Bilal Altay
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On the Lacunary (A, φ)-Statistical Convergence of Double Sequences
Ukrainian Mathematical Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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