Results 171 to 180 of about 937,852 (212)
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EMBEDDING THEOREMS AND BEST APPROXIMATIONS
Mathematics of the USSR-Sbornik, 1975We establish necessary and sufficient conditions, in terms of best approximations, for a function in () to belong to (p$ SRC=http://ej.iop.org/images/0025-5734/26/2/A04/tex_sm_2477_img4.gif/>). The proofs depend on the properties of equimeasurable functions, which were applied by Ul'janov in the theory of the embedding of certain classes for (MR 37
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On the Randomized Bernstein Approximation Theorem and the Order of Approximation
Lobachevskii Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Markoff’s Theorem for Approximations
2018This chapter provesMarkoff’s theorem for approximations: if x is an irrational real number such that its Lagrange number L(x) is <3, then the continued fraction of x is ultimately periodic and has as periodic pattern a Christoffel word written on the alphabet 11, 22. Moreover, the bound is attained: this means that there are indeed convergents whose
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Approximately Axisymmetric Antidynamo Theorems
SIAM Journal on Applied Mathematics, 2018The validity of the well-known Cowling's theorem, that an axially symmetric MHD dynamo cannot exist in an electrically conducting fluid, is studied by the author for small scale deviations from strict axial symmetry. It is shown that the theorem can be extended as to include weakly non-axisymmetric configurations under the derived new symmetry ...
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1996
This chapter, and part of the next, are devoted to a result which can be viewed either as an approximation theorem, or as a theorem characterizing the kernel of a trace operator for arbitrary sets. In the present chapter we treat the case of Sobolev spaces W m,p (R N ) for integer m and 1 < p < ∞.
David R. Adams, Lars Inge Hedberg
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This chapter, and part of the next, are devoted to a result which can be viewed either as an approximation theorem, or as a theorem characterizing the kernel of a trace operator for arbitrary sets. In the present chapter we treat the case of Sobolev spaces W m,p (R N ) for integer m and 1 < p < ∞.
David R. Adams, Lars Inge Hedberg
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A Theorem on the Convergence of Padé Approximants
Studies in Applied Mathematics, 1976We prove a theorem which gives necessary and sufficient conditions on the distribution of poles and zeros of the Padé approximants for point‐by‐point convergence. The special case of convergence to a function meromorphic in a disk by a sequence of Padé approximants free of extraneous poles and zeros is proven.
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Statistical Convergence via q-Calculus and a Korovkin’s Type Approximation Theorem
Axioms, 2022Stefano Serra Capizzano +1 more
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Approximation Theorems for Translates
Proceedings of the London Mathematical Society, 1959openaire +1 more source
Korovkin Type Approximation Theorems Obtained Through Generalized Statistical Convergence
Applied Mathematics Letters, 2010Abdullah K Noman, S A Mohiuddine
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