About the journal

Approximation Theory 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 peer reviewed articles that address these goals both in theory and implementations.

• Launch Date: July 27, 2026.
• Peer Review Model: Single-blind, that is, authors cannot see referees, but referees can see authors.
• Publication Model: Published online only as a continuous annual volume throughout the calendar year. Articles are made available as soon as they are ready. Special thematic collections are continuously coordinated and populated.
• Licensing:  All papers published in AAT are licensed under the Creative Commons open access license CC BY NC.
• Copyright:  Authors retain the copyright and full publishing rights without restriction.
• Publishing Formats: The journal publishes articles online as PDF and HTML.
• Types of Papers:
  • Research Articles (see Aims & Scope and Submission Preparation Checklist)
  • Letters to the Editor (see Aims & Scope and Submission Preparation Checklist)
  • In addition, occasionally, subject to prior approval from AAT:
    • Book Reviews
    • Conference Proceeding Materials (see Submission Preparation Checklist)
    • Survey Papers
    • Volumes Dedicated to Our Distinguished Peers (see Submission Preparation Checklist)
  • Furthermore, when needed, also subject to prior approval from AAT:
    • Announcements (if you'd like us to share an announcement on your behalf, please contact AAT)
    • Errata & Corrigenda
    • Obituaries
• Digital Archive: PKP Preservation Network (PKP PN)
• Unique Article Identifiers: Digital Object Identifier (DOI)

Submission fee

• $0

Publication fee

• $0

Reading/Access fee

• $0 (Library Supported)

Keywords

• approximation theory, multivariate approximations, high-dimensional approximations, best approximation, error estimates, rational approximation, complex approximation, orthogonal polynomials, special functions, extremal problems, inequalities, spline approximations, shape-preserving approximations, n-widths, entropy numbers, harmonic analysis, wavelet analysis, spectral theory, interpolation, kernel methods, radial basis function methods, computer aided geometric design, information-based complexity, applications, partial differential equations, image processing, learning theory, data analysis