A Generalization of the Weierstrass Approximation Theorem [PDF]
, 1972 A presentation of the Weierstrass approximation theorem and the Stone-Weierstrass theorem and a comparison of these two theorems are the objects of this ...
Murchison, Jo Denton
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Approximate Euclidean Ramsey theorems
J. Comput. Geom., 2010 According to a classical result of Szemerédi, every dense subset of 1,2,…,N contains an arbitrary long arithmetic progression, if N is large enough. Its analogue in higher dimensions due to Fürstenberg and Katznelson says that every dense subset of {1,2,…,N}d contains an arbitrary large grid, if N is large enough.
openaire +4 more sources
The Bézier variant of Kantorovich type λ-Bernstein operators
Journal of Inequalities and Applications, 2018 In this paper, we introduce the Bézier variant of Kantorovich type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$. We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation ...
Qing-Bo Cai
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The theorem about the transformer excitation current waveform mapping into the dynamic hysteresis loop branch for the sinusoidal magnetic flux case [PDF]
Serbian Journal of Electrical Engineering, 2015 This paper analyses aspects of the approximation theory application on the certain subsets of the measured samples of the transformer excitation current and the sinusoidal magnetic flux.
Petrović Nenad +2 more
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Approximation properties by shifted knots type of α-Bernstein–Kantorovich–Stancu operators
Journal of Inequalities and ApplicationsThrough the real polynomials of the shifted knots, the α-Bernstein–Kantorovich operators are studied in their Stancu form, and the approximation properties are obtained.
Md. Nasiruzzaman +3 more
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Common Fixed Points for Suzuki-Generalized Nonexpansive Maps
Journal of Applied Mathematics, 2013 A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C).
Maryam A. Alghamdi +2 more
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Wiener's Approximation Theorem for Locally Compact Abelian Groups [PDF]
, 1974 This study of classical and modern harmonic analysis extends the classical Wiener's approximation theorem to locally compact abelian groups. The first chapter deals with harmonic analysis on the n-dimensional Euclidean space. Included in this chapter are
Shu, Ven-shion
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Approximation properties of a new family of Gamma operators and their applications
Advances in Difference Equations, 2021 The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators ...
Reyhan Özçelik +3 more
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Design of Multi-Dimensional Recursive Systems through Pad'e Type Rational Approximation
Nonlinear Analysis, 2002 The results obtained in classical 1-D rational approximation are extended in this paper to rational approximation of M-D functions. A full analog of classical Montessus de Ballore theorem for the convergence of the rows of Pad´e’s tables is obtained.
Valeri V. Vavilov +2 more
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Dynamical Analysis and SDEPINN-Based Modeling of a Fractional-Order Stochastic SIS Epidemic Model
Fractal and FractionalThis paper proposes a novel susceptible–infected–susceptible (SIS) epidemic model incorporating a fractional-order term and white-noise perturbations. Several analytical results concerning its dynamical behavior are established.
Ge Zhang +4 more
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