Results 71 to 80 of about 937,852 (212)
Harmonic approximation and Sarason's-type theorem
, 2003 In this paper uniform approximation of bounded harmonic functions on an arbitrary open set in Euclidean space by harmonic functions arising as solutions of the classical or generalized Dirichlet problem is studied. In particular, an analogue of Sarason's
Netuka, Ivan, Hansen, Wolfhard
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Constructive approximation theory [PDF]
, 2007 We consider the fundamental Theorem of Approximation Theory from a constructive viewpoint, revealing that the theorem itself is fundamentally non-constructive. We subsequently present a development of a constructive alternative to the Fundamental Theorem,
Hendtlass, Matthew
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Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials
Journal of Inequalities and ApplicationsThis article delves into Jakimovski–Leviatan–Durrmeyer type operators based on 2D-Appell polynomials. The investigation initiates by exploring the Korovkin-type approximation theorem and its convergence rates, employing both the traditional modulus of ...
Manoj Kumar, Nusrat Raza, M. Mursaleen
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Sinusoidal Approximation Theorem for Kolmogorov–Arnold Networks
MathematicsThe Kolmogorov–Arnold representation theorem states that any continuous multivariable function can be exactly represented as a finite superposition of continuous single-variable functions.
Sergei Gleyzer +3 more
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On an Approximation Theorem of Kupka and Smale [PDF]
, 1964 Simplified and generalized geometrical proof of Kupka and Smale approximation theorem concerning differential equations defined on closed, compact, infinitely differentiable ...
Peixoto, M. M.
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Separation and approximation in normed linear spaces.
, 1986 This paper is basically concerned with the geometry of normed linear spaces. Approximation enters as one is concerned about approximation from discrete sets and the relation to the geometry of the space.
Zanzo C. +2 more
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On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties
Journal of Inequalities and Applications, 2017 In the present paper, we introduce a new modification of Szász-Mirakyan operators based on ( p , q ) $(p, q)$ -integers and investigate their approximation properties. We obtain weighted approximation and Voronovskaya-type theorem for new operators.
M Mursaleen +2 more
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An extension of the Khinchin–Groshev theorem
, 2015 We prove a version of the Khinchin–Groshev theorem in Diophantine approximation for quadratic extensions of function fields in positive ...
Royals, Robert, Ghosh, Anish
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A Discrete Multivariate Mean Value Theorem with Applications [PDF]
AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Yang, Z.F., Talman, A.J.J.
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Inconsistency of the rotating wave approximation with the Ehrenfest theorem
, 1996 We point out that the equation of motion derived from the well-known RWA (rotating-wave-approximation) Hamilitonian is inconsistent with the Ehrenfest theorem.
O\u27Connell, R. F., Ford, G. W.
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