2. Department of General Required Courses, Mathematics, Faculty of Applied Studies, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Approximation Theory in Computer and Computational Sciences
In recent years, we have observed increasing interest of Mathematicians in Approximation theory and computational methods, due to its large applications in Engineering sciences and related areas. Approximating functions, some data, or a member of a given set are some of the examples of the approximation calculations. From constructive proof of the Weierstrass approximation theorem via Bernstein polynomials to the theory of positive linear operators, role of Bernstein type polynomials to mimic shapes of curves and surfaces in Computer-Aided Geometric Design and its applications to finite element analysis, approximation by non-linear operators, Neural network approximation and the theory of sampling operators to overcome complexity of Mathematical models are some of the key areas. Approximation theory links both theoretical and applied Mathematics from a need to represent functions in computer calculations to Numerical analysis and development of mathematical software etc. Any development can be used in many industrial and commercial fields and thus requires advances in the subject.
In this Topic Issue, we will cover the field of approximations in Neural Networks, Linear and Non-linear approximation operators, Numerical analysis, Special function classes, Computer Aided Geometric design and applications of approximation theory. Our goal is to gather articles reflecting new trends in approximation theory and related topics.
Dr. Faruk Özger
Dr. Asif Khan
Dr. Syed Abdul Mohiuddine
Dr. Zeynep Ödemiş Özger
- best approximant
- neural network operators
- sigmoidal functions
- pointwise and uniform approximation
- rate of convergence
- sampling operators
- linear and nonlinear approximating operators
- error estimate
- Bernstein type operators
- Bezier type curves and surfaces
|First Decision (median)
Fractal and Fractional
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