Concepedia

Approximation By Trigonometric Polynomials

Approximation By Trigonometric Polynomials is a mathematical method in Fourier analysis that employs finite sums of sines and cosines to uniformly approximate periodic functions in the sense of minimizing the mean-square error over an interval.

474

Publications

19.2K

Citations

594

Authors

348

Institutions

Publications per year

2017–2026

38

Variants

Trigonometric Approximation

Parents

Publications

474

III.—On a Quadrature Formula for Trigonometric Integrals

L. N. G. Filon · Proceedings of the Royal Society of Edinburgh · 1930 · 612 citations

, , +7

An Equivalence Between Sparse Approximation and Support Vector Machines

Federico Girosi · Neural Computation · 1998 · 505 citations · Full text

, , +16

An Algorithm for the Evaluation of Finite Trigonometric Series

G. Goertzel · American Mathematical Monthly · 1958 · 498 citations

, , +8

An Introduction to Classical Real Analysis.

Alberto Torchinsky, Karl Stromberg · American Mathematical Monthly · 1983 · 442 citations

, , +13

Numerical integration of ordinary differential equations based on trigonometric polynomials

Walter Gautschi · Numerische Mathematik · 1961 · 425 citations

, , +13

1–5 of 474

Authors

594

  1. AS
    A. S. Romanyuk

    Institute of Mathematics, Ukraine

    10 publications · 179 citations

    10

    h-index

  2. VT
    Vladimir Temlyakov

    University of South Carolina, United States

    8 publications · 356 citations

    8

    h-index

  3. DM
    Daniyal M. İsrafilov

    Balıkesir University, Türkiye

    6 publications · 179 citations

    6

    h-index

  4. RA
    Ramazan Akgün

    Balıkesir University, Türkiye

    6 publications · 167 citations

    6

    h-index

  5. LK
    Lutz Kämmerer

    Chemnitz University of Technology, Germany

    6 publications · 177 citations

    6

    h-index

1–5 of 594

Institutions

348

  1. Institute of Mathematics

    Kyiv, Ukraine

    8 h-index

    10 publications

    148 citations

  2. Chemnitz University of Technology

    Chemnitz, Germany

    8 h-index

    13 publications

    529 citations

  3. University of Peloponnese

    Tripoli, Greece

    8 h-index

    8 publications

    746 citations

  4. Lomonosov Moscow State University

    Moscow, Russia

    7 h-index

    7 publications

    138 citations

  5. University of South Carolina

    Columbia, United States

    7 h-index

    8 publications

    403 citations

  6. Balıkesir University

    Balıkesir, Türkiye

    6 h-index

    8 publications

    255 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    6 h-index

    9 publications

    1.1K citations

  8. Czech Academy of Sciences, Institute of Mathematics

    Prague, Czechia

    4 h-index

    5 publications

    72 citations

1–8 of 348

Venues

  1. Mathematics of Computation

    MCOM · 17 publications · 570 citations

    14

    h-index

  2. SIAM Journal on Numerical Analysis

    14 publications · 598 citations

    13

    h-index

  3. Mathematical Notes

    12 publications · 357 citations

    11

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 11 publications · 416 citations

    10

    h-index

  5. Ukrainian Mathematical Journal

    10 publications · 180 citations

    10

    h-index

1–5