A. F. Timan, ``Theory of Approximation of Functions of a Real Variable,'' Hindusthan Publ., Delhi, 1966.Timan, A., 1966. Theory of Approximation of Functions of a Real Variable. Hindustan Publishing Corporation, Delhi, India.A.F. Timan, Theory of Approximation of Functions of a Real ...
Several questions ofapproximation theoryare discussed: 1) can one approximate stably in L∞norm f′ given approximation fδ, ||fδ–f||L∞<δ of an unknown smooth function f such that||f′(x)||L∞≤m1? 2) can one approximate an arbitrary f∈L2(D),where D⊂ ℝn,n≥ 3,is a...
• Approximation theoretic aspects of real or complex function theory, function theory, difference or differential equations, function spaces, or harmonic analysis • Wavelet Theory and its applications in signal and image processing, and in differential equations with special emphasis on connections ...
The use of classical thermal field to approximate real-time quantum thermal field theory is discussed. For a \\lambda\\phi^4 theory, it is shown that the classical Rayleigh-Jeans divergence can be canceled with the appropriate counterterms, and a comparison is made between the classical and ...
Stirling's approximation gives an approximate value for the factorial function n! or the gamma function Gamma(n) for n>>1. The approximation can most simply be derived for n an integer by approximating the sum over the terms of the factorial with an inte
Langevin function L is a mathematical function which is important in the theory of paramagnetism and in the theory of the dielectric properties of insulators. The analytical expression for the Langevin function is given by equation y=L(x)=cothx−1/x (1) The inverse Langevin function ...
4.4 Smoothness and rate of convergence The most basic principle in approximation theory is this: the smoother the function, the faster the convergence as N -> infty. What this means for Chebfun is that so long as a function is twice continuously differentiable, it can usually be ap...
• Approximation theoretic aspects of real or complex function theory, function theory, difference or differential equations, function spaces, or harmonic analysis • Wavelet Theory and its applications in signal and image processing, and in differential equations with special emphasis on connections be...
Sharapudinov, I.I.: Several questions of approximation theory in spaces Lp(x). Anal. Math. 33(2), 135–153 (2007) Article MathSciNet Google Scholar Sharapudinov, I.I.: Approximation of functions in L2πp(x) by trigonometric polynomials. Izv. RAN. Ser. Mat. 77(2), 197–224 (20...
In the sequel, the more powerful methods based on arguments from the theory of Markov chains are reviewed. The Metropolis–Hastings and Gibbs sampling methods are presented and discussed. Finally, a case study concerning the change-point detection task is considered. View chapter Book 2020, ...