Concepedia

Khinchin-type Theorems

Khinchin-Type Theorems is a class of results in Diophantine approximation that characterizes the Lebesgue measure of real numbers approximable to a given order by rational numbers, distinguished by their reliance on convergence or divergence criteria of associated series involving approximating functions.

121

Publications

5.3K

Citations

170

Authors

110

Institutions

Publications per year

2017–2026

5

Parents

Publications

121

An Introduction to Classical Real Analysis.

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

, , +13

Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory.

Eli Passow, T. J. Rivlin · Mathematics of Computation · 1992 · 363 citations

, , +14

On the best constants in the Khinchin inequality

Stanisław J. Szarek · Studia Mathematica · 1976 · 254 citations · Full text

, , +7

Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers

A. S. Besicovitch · Journal of the London Mathematical Society · 1934 · 204 citations

, , +12

A lecture on the classical KAM theorem

Jürgen Pöschel · ArXiv.org · 2009 · 151 citations · Full text

, , +11

1–5 of 121

Authors

170

  1. FS
    Ferenc Schipp

    Eötvös Loránd University, Hungary

    2 publications · 34 citations

    2

    h-index

  2. GD
    G. D. Taylor

    Colorado State University, United States

    2 publications · 37 citations

    2

    h-index

  3. RA
    Ramazan Akgün

    Balıkesir University, Türkiye

    2 publications · 73 citations

    2

    h-index

  4. DS
    D. S. Lubinsky

    University of the Witwatersrand, South Africa

    2 publications · 36 citations

    2

    h-index

  5. WR
    William R. Wade

    University of Tennessee at Knoxville, United States

    2 publications · 21 citations

    2

    h-index

1–5 of 170

Institutions

110

  1. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    6 publications

    227 citations

  2. University of Bristol

    Bristol, United Kingdom

    3 h-index

    3 publications

    78 citations

  3. Colorado State University

    Fort Collins, United States

    2 h-index

    2 publications

    37 citations

  4. The Ohio State University

    Columbus, United States

    2 h-index

    2 publications

    30 citations

  5. University of Illinois Urbana-Champaign

    Urbana, United States

    2 h-index

    2 publications

    39 citations

  6. Steklov Mathematical Institute

    Moscow, Russia

    2 h-index

    2 publications

    50 citations

  7. Balıkesir University

    Balıkesir, Türkiye

    2 h-index

    3 publications

    80 citations

  8. Cadi Ayyad University

    Marrakesh, Morocco

    2 h-index

    2 publications

    125 citations

1–8 of 110

Venues

  1. Journal of Approximation Theory

    13 publications · 472 citations

    11

    h-index

  2. Journal of Number Theory

    8 publications · 174 citations

    8

    h-index

  3. Israel Journal of Mathematics

    4 publications · 55 citations

    4

    h-index

  4. American Mathematical Monthly

    4 publications · 551 citations

    4

    h-index

  5. Studia Mathematica

    3 publications · 394 citations

    3

    h-index

1–5