Concepedia

Mean Square Convergence

Mean Square Convergence is a type of convergence in the context of Fourier series where a sequence of partial sums converges to a function if the integral of the square of the difference between the partial sums and the function over the interval approaches zero as the number of terms increases.

413

Publications

23.8K

Citations

645

Authors

334

Institutions

Publications per year

2017–2026

79

Variants

Convergence In Mean SquareL2 Convergence

Parents

Publications

413

Stochastic Approximation Algorithms and Applications

Anatolii A. Puhalskii, Harold J. Kushner, G. George Yin · Journal of the American Statistical Association · 1998 · 1K citations · Full text

, , +14

On convergence and growth of partial sums of Fourier series

Lennart Carleson · Acta Mathematica · 1966 · 1K citations · Full text

, , +10

Distributed Stochastic Subgradient Projection Algorithms for Convex Optimization

S. Sundhar Ram, A. Nedić, Venugopal V. Veeravalli · Journal of Optimization Theory and Applications · 2010 · 839 citations

, , +16

Stochastic differential equations

N. G. van Kampen · Physics Reports · 1976 · 739 citations

, , +10

Generalized Correntropy for RobustAdaptive Filtering

Badong Chen, Lei Xing, Haiquan Zhao et al. · IEEE Transactions on Signal Processing · 2016 · 739 citations · Full text

, , +11

1–5 of 413

Authors

645

  1. DF
    Dmitriy F. Kuznetsov

    Peter the Great St. Petersburg Polytechnic University, Russia

    11 publications · 241 citations

    10

    h-index

  2. BC
    Badong Chen

    Xi'an Jiaotong University, China

    9 publications · 1.6K citations

    9

    h-index

  3. PN
    Paul Nevai

    The Ohio State University, United States

    8 publications · 451 citations

    8

    h-index

  4. EB
    Evelyn Buckwar

    Johannes Kepler University of Linz, Austria

    6 publications · 219 citations

    6

    h-index

  5. BM
    Benjamin Muckenhoupt

    Rutgers, The State University of New Jersey, United States

    6 publications · 367 citations

    6

    h-index

1–5 of 645

Institutions

334

  1. University of Florida

    Gainesville, United States

    12 h-index

    22 publications

    2.3K citations

  2. Chinese Academy of Sciences

    Beijing, China

    11 h-index

    20 publications

    1.6K citations

  3. Southwest Jiaotong University

    Chengdu, China

    7 h-index

    10 publications

    1.3K citations

  4. Stanford University

    Stanford, United States

    7 h-index

    10 publications

    611 citations

  5. The Ohio State University

    Columbus, United States

    7 h-index

    8 publications

    218 citations

  6. Academy of Mathematics and Systems Science

    Beijing, China

    7 h-index

    12 publications

    543 citations

  7. Australian National University

    Canberra, Australia

    6 h-index

    10 publications

    1.4K citations

  8. Pohang University of Science and Technology

    Pohang, South Korea

    6 h-index

    21 publications

    1.2K citations

1–8 of 334

Venues

  1. IEEE Transactions on Signal Processing

    27 publications · 2.3K citations

    22

    h-index

  2. IEEE Transactions on Automatic Control

    20 publications · 2.2K citations

    17

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 16 publications · 903 citations

    14

    h-index

  4. Journal of Approximation Theory

    12 publications · 349 citations

    11

    h-index

  5. IEEE Transactions on Information Theory

    11 publications · 533 citations

    11

    h-index

1–5