Results 11 to 20 of about 4,824 (215)
A bounded consistency theorem for strong summabilities
International Journal of Mathematics and Mathematical Sciences, 1989 The study of R-type summability methods is continued in this paper by showing that two such methods are identical on the bounded portion of the strong summability field associated with the methods.
C. S. Chun, A. R. Freedman
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Summability methods based on the Riemann Zeta function
International Journal of Mathematics and Mathematical Sciences, 1988 This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable.
Larry K. Chu
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Summability Methods for Oscillation of Linear Second-Order Matrix Differential Equations
Rocky Mountain Journal of Mathematics, 1993 The oscillation criteria of Wintner and Hartman for the equation \(Y''+ q(t)y=0\) on \([0,\infty)\) using limits of the mean \((1/t)\int^ t_ 0\left(\int^ s_ 0 q(u)du\right)ds\) have been extended in many ways. Other extensions of the scalar results have been made to the matrix equation \(Y''+ Q(t)= 0\) and to the selfadjoint matrix equation (1) \((PY')'
Coles, William J., Kinyon, Michael K.
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Approximation of high-dimensional parametric PDEs [PDF]
, 2015 Parametrized families of PDEs arise in various contexts such as inverse problems, control and optimization, risk assessment, and uncertainty quantification. In most of these applications, the number of parameters is large or perhaps even infinite.
Cohen, Albert, Devore, Ronald
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International Journal of Mathematics and Mathematical Sciences, 2000 We prove the necessary and sufficient conditions for an infinity matrix to be a mapping, from absolutely convergent series to convergent sequences, which is treated as general weighted mean summability methods.
Jinlu Li
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Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2018 As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
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Resumming the string perturbation series [PDF]
, 2015 We use the AdS/CFT correspondence to study the resummation of a perturbative genus expansion appearing in the type II superstring dual of ABJM theory.
Grassi, Alba +2 more
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Uniqueness of the Fock quantization of scalar fields in spatially flat cosmological spacetimes [PDF]
, 2012 We study the Fock quantization of scalar fields in (generically) time dependent scenarios, focusing on the case in which the field propagation occurs in --either a background or effective-- spacetime with spatial sections of flat compact topology.
Blas, Daniel Martín-de +4 more
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Borel summability and Lindstedt series
, 2006 Resonant motions of integrable systems subject to perturbations may continue to exist and to cover surfaces with parametric equations admitting a formal power expansion in the strength of the perturbation.
A. Giuliani +9 more
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Inclusion Theorems for Absolute Matrix Summability Methods
Journal of Mathematical Analysis and Applications, 1999 The author establishes a general inclusion theorem for a non-negative regular matrix \(T\) satisfying some conditions absolutely stronger than conditions satisfied by a weighted mean matrix. Further he obtains four corollaries establishing inclusion theorems for Cesáro and weighted mean methods and deducing earlier results of H. Bor and M. A. Sarigöl.
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