Aims & Scope

Under Construction...

As pointed out in the section "About the journal", Approximation Theory (AT) is a wide ranging mathematical subject deeply intertwined with many fields of pure and applied mathematics. "Advances in Approximation Theory" (AAT) covers all areas of classical and modern approximation theory, including computational aspects, with deep and far-reaching results and algorithms. Its mission is to combine theoretical and applied mathematics in order to find efficient, stable, and accurate means of approximation grounded in rigorous analysis.

AAT publishes original research articles that address these goals both in theory and implementations.

AAT does not classify research papers according to their length. A research paper can have any length between zero and infinity.

AAT also accepts "Letters to the Editor" that should not be confused with research articles. The former is a brief and informal communication dedicated to observations that is of interest to the AT community. An example is to inform the readers that Charles-Jean de La Vallée Poussin has an important paper that is unreadable because of typesetting errors (true story).

In addition, AAT is open to occasional survey papers, book reviews, conference proceeding material, volumes dedicated to our distinguished peers, errata & corrigenda, and, sadly, to obituaries. The emphasis is on the word "occasional" and they are subject to prior approval.

Each and every research paper will be subject to the same rigorous refereeing process.

The journal's subject areas include but they are not necessarily limited to multivariate and high-dimensional approximations, best approximation problems (linear and nonlinear), error estimates, rational and complex approximation, orthogonal polynomials, special functions, extremal problems and inequalities, spline and shape-preserving approximations, n-widths and entropy numbers, harmonic and wavelet analysis, spectral theory, interpolation, kernel and radial basis function methods, computer aided geometric design, information-based complexity, applications, in particular, to partial differential equations, image processing, learning theory, and data analysis.

As a matter of fact, no rule is carved into stone. AAT welcomes every genuinely good paper that has anything to do with AT and related areas. Of course, the farther the paper from mainstream AT the higher the standard applied to evaluating the paper.