Approximation of functions of several variables by multidimensional $S$-fractions with independent variables [PDF]
, 2021 The paper deals with the problem of approximation of functions of several variables by branched continued fractions. We study the correspondence between formal multiple power series and the so-called "multidimensional $S$-fraction with independent ...
R.I. Dmytryshyn, S.V. Sharyn
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Process development and validation of expanded regulatory T cells for prospective applications: an example of manufacturing a personalized advanced therapy medicinal product [PDF]
, 2022 Background: A growing number of clinical trials have shown that regulatory T (Treg) cell transfer may have a favorable effect on the maintenance of self-tolerance and immune homeostasis in different conditions such as graft-versus-host disease (GvHD ...
Budelli, S. +14 more
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On the convergence of multidimensional S-fractions with independent variables [PDF]
, 2020 The paper investigates the convergence problem of a special class of branched continued fractions, i.e. the multidimensional S-fractions with independent variables, consisting of \[\sum_{i_1=1}^N\frac{c_{i(1)}z_{i_1}}{1}{\atop+}\sum_{i_2=1}^{i_1}\frac{c_{
O.S. Bodnar +2 more
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A global approach to the refinement of manifold data [PDF]
, 2014 A refinement of manifold data is a computational process, which produces a denser set of discrete data from a given one. Such refinements are closely related to multiresolution representations of manifold data by pyramid transforms, and approximation of ...
Dyn, Nira, Sharon, Nir
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On convergence criteria for branched continued fraction [PDF]
, 2020 The starting point of the present paper is a result by E.A. Boltarovych (1989) on convergence regions, dealing with branched continued fraction \[\sum_{i_1=1}^N\frac{a_{i(1)}}{1}{\atop+}\sum_{i_2=1}^N\frac{a_{i(2)}}{1}{\atop+}\ldots{\atop+}\sum_{i_n=1}^N\
T.M. Antonova
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Elementary Evaluation of the Zeta and Related Functions
, 2010 A simple and elementary derivation of values at integer points for the Riemann's zeta and related functions is reported.Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece, 19-25 September ...
Bagdasaryan, Armen
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Binomial transform and the backward difference
, 2017 We prove an important property of the binomial transform: it converts multiplication by the discrete variable into a certain difference operator. We also consider the case of dividing by the discrete variable.
Boyadzhiev, Khristo N.
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On the convergence of multidimensional S-fractions with independent variables [PDF]
, 2018 In this paper, we investigate the convergence of multidimensional S-fractions with independent variables, which are a multidimensional generalization of S-fractions.
O.S. Bodnar, R.I. Dmytryshyn
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Rough convergence of sequences in a partial metric space
, 2022 In this paper we have studied the notion of rough convergence of sequences in a partial metric space. We have also investigated how far several relevant results on boundedness, rough limit sets etc.
Banerjee, Amar Kumar, Khatun, Sukila
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Rough convergence of sequences in Controlled Metric Type Spaces
, 2023 Mlaiki et al.\cite{MLA} introduced the idea of controlled metric type spaces, which is a new extension of $b$-metric spaces with addition of a controlled function $\alpha(x,y)$ of the right-hand side of the $b$-triangle inequality.
Banerjee, Amar Kumar, Khatun, Sukila
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