Concepedia

Mean Value Theorems

Mean Value Theorems is a foundational analytic method in number theory that establishes asymptotic estimates for the average behavior of arithmetic functions or Dirichlet polynomials over intervals or families, typically by relating integrals or sums of their values to main terms with controlled error bounds.

886

Publications

39.5K

Citations

1.2K

Authors

616

Institutions

Publications per year

2017–2026

118

Parents

Publications

886

Mean value methods in iteration

W. Robert Mann · Proceedings of the American Mathematical Society · 1953 · 2.3K citations

, , +8

Elementary Numerical Analysis.

W. G., Kendall Atkinson · Mathematics of Computation · 1994 · 1.3K citations

, , +17

Statistical associating fluid theory for chain molecules with attractive potentials of variable range

Alejandro Gil‐Villegas, Amparo Galindo, Paul J. Whitehead et al. · The Journal of Chemical Physics · 1997 · 1K citations

, , +17

On possibilistic mean value and variance of fuzzy numbers

Christer Carlsson, Robert C. Fuller · Fuzzy Sets and Systems · 2001 · 814 citations

, , +10

Mean value coordinates

2003 · 797 citations

, , +8

1–5 of 886

Authors

1.2K

  1. YC
    Yu‐Ming Chu

    Huzhou University, China

    45 publications · 2K citations

    28

    h-index

  2. MW
    Miao-Kun Wang

    Huzhou University, China

    17 publications · 845 citations

    15

    h-index

  3. TD
    Trevor D. Wooley

    University of Michigan, United States

    16 publications · 742 citations

    14

    h-index

  4. FQ
    Feng Qi

    Henan Polytechnic University, China

    15 publications · 448 citations

    12

    h-index

  5. ‎P
    ‎Josip Pečarić

    University of Zagreb, Croatia

    15 publications · 316 citations

    12

    h-index

1–5 of 1.2K

Institutions

616

  1. Huzhou University

    Huzhou, China

    18 h-index

    40 publications

    2.1K citations

  2. Institute of Mathematics

    Warsaw, Poland

    11 h-index

    17 publications

    418 citations

  3. Hunan City University

    Yiyang, China

    10 h-index

    20 publications

    706 citations

  4. University of Waterloo

    Waterloo, Canada

    10 h-index

    12 publications

    289 citations

  5. University of Zielona Góra

    Zielona Góra, Poland

    10 h-index

    15 publications

    358 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    16 publications

    332 citations

  7. University of Michigan

    Ann Arbor, United States

    9 h-index

    10 publications

    355 citations

  8. University of Bristol

    Bristol, United Kingdom

    9 h-index

    10 publications

    380 citations

1–8 of 616

Venues

  1. Journal of Mathematical Inequalities

    JMI · 30 publications · 915 citations

    19

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 31 publications · 3.8K citations

    19

    h-index

  3. Proceedings of the London Mathematical Society

    20 publications · 1.6K citations

    18

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 21 publications · 1.2K citations

    18

    h-index

  5. 17

    h-index

1–5