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Approximation Theory and Related Applications
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In recent years, we have seen a growing interest in various aspects of approximation theory. This happened due to the increasing complexity of mathematical models that require computer calculations and the development of the theoretical foundations of the approximation theory. Approximation theory has broad and important applications in many areas of mathematics, including functional analysis, differential equations, dynamical systems theory, mathematical physics, control theory, probability theory and mathematical statistics, and others. Approximation theory is also of great practical importance, as approximate methods and estimation of approximation errors are used in physics, economics, chemistry, signal theory, neural networks and many other areas. This book presents the works published in the Special Issue "Approximation Theory and Related Applications". The research of the world’s leading scientists presented in this book reflect new trends in approximation theory and related topics.
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Keywords
- algebraic basis
- approximant
- approximate solution
- asymptotic density
- asymptotic equality
- asymptotic homogeneity at infinity
- averaging method
- Banach space
- Bernstein polynomials
- BMO
- branched continued fraction
- C-class function
- confluent hypergeometric function of several variables
- conformality by Belinskii and by Lavrent’iev
- continuous polynomial on a Banach space
- deferred weighted Riemann summability
- degenerate Beltrami equations
- dynamic inequality
- dynamic system criteria
- exponential stability
- fixed point
- fluid mechanics
- Fuzzy Modus Ponens
- Fuzzy Modus Tollens
- generalized Abel-Poisson integral
- generalized Caputo proportional fractional derivative
- Hopfield neural networks
- hydromechanics
- interval-valued fuzzy sets
- intuitionistic fuzzy sets
- Kolmogorov–Nikol’skii problem
- Korovkin-type approximation theorems
- Lebesgue-measurable sequences of functions
- Lebesgue-Rohlin space
- local Hölder space
- Mathematics & science
- mean square error
- Mittag–Leffler stability
- modular space
- n/a
- nonparametric estimation
- Occam’s Razor
- Optimal Control
- oscillations in solutions
- parabolic system
- partial metric space
- partial modular space
- Pearson correlation coefficient
- pointwise error
- positive linear operators
- quadratic Lyapunov functions
- quasi-density
- quasi-statistical convergence
- reasoning algorithm
- recurrence relations
- reverse Hardy’s inequality
- Riemann and Lebesgue integrals
- set of multisets
- Stability
- statistical convergence
- statistical Riemann and Lebesgue integral
- supersymmetric polynomials
- symbolic regression
- symmetric bases
- symmetric polynomial on a Banach space
- the matrix summability method
- thema EDItEUR::P Mathematics and Science
- time scale
- topological rings
- uniform convergence
- uniform metric
- volterra integral equation
- waste gasification
- wavelet
- weakly compatible mappings
- Weyl-Nagy classes
Links
DOI: 10.3390/books978-3-0365-6231-5Editions