Concepedia

Riemann Integral

The Riemann Integral is a definite integral defined as the limit of Riemann sums of a function over a closed interval, where the limit exists as the norm of the partition approaches zero, distinguishing it among integration methods by its reliance on partitioning the domain into subintervals and evaluating the function at arbitrarily chosen points within them.

349

Publications

14K

Citations

481

Authors

283

Institutions

Publications per year

2017–2026

53

Parents

Publications

349

A Dynamical Theory of Diffraction for a Distorted Crystal

Satio Takagi · Journal of the Physical Society of Japan · 1969 · 723 citations

, , +14

On Riemann and Caputo fractional differences

Thabet Abdeljawad · Computers & Mathematics with Applications · 2011 · 696 citations

, , +6

Trace formula in noncommutative geometry and the zeros of the Riemann zeta function

Alain Connes · Selecta Mathematica · 1999 · 342 citations · Full text

, , +9

Distribution functions and the Riemann zeta function

Børge Jessen, Aurel Wintner · Transactions of the American Mathematical Society · 1935 · 332 citations · Full text

, , +13

On a Fractional Operator Combining Proportional and Classical Differintegrals

Dumitru Bǎleanu, Arran Fernandez, Ali Akgül · Mathematics · 2020 · 286 citations · Full text

, , +12

1–5 of 349

Authors

481

  1. SS
    Sever S Dragomir

    Victoria University, Australia

    13 publications · 350 citations

    11

    h-index

  2. HM
    H. M. Srivastava

    University of Victoria, Canada

    7 publications · 189 citations

    7

    h-index

  3. ST
    Savin Treanţă

    Universitatea Națională de Știință și Tehnologie Politehnica București, Romania

    5 publications · 101 citations

    5

    h-index

  4. WF
    Washek F. Pfeffer

    University of California, Davis, United States

    5 publications · 161 citations

    5

    h-index

  5. AW
    Aurel Wintner

    Johns Hopkins University, United States

    4 publications · 450 citations

    4

    h-index

1–5 of 481

Institutions

283

  1. COMSATS University Islamabad

    Islamabad, Pakistan

    8 h-index

    8 publications

    111 citations

  2. University of Victoria

    Victoria, Canada

    7 h-index

    7 publications

    189 citations

  3. Victoria University

    Melbourne, Australia

    6 h-index

    8 publications

    272 citations

  4. Taif University

    Ta'if, Saudi Arabia

    5 h-index

    7 publications

    97 citations

  5. Universitatea Națională de Știință și Tehnologie Politehnica București

    Bucharest, Romania

    5 h-index

    6 publications

    123 citations

  6. University of California, Davis

    Davis, United States

    4 h-index

    5 publications

    128 citations

  7. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    4 publications

    209 citations

  8. Government College University, Lahore

    Lahore, Pakistan

    4 h-index

    8 publications

    218 citations

1–8 of 283

Venues

  1. 13

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 13 publications · 837 citations

    13

    h-index

  3. American Mathematical Monthly

    14 publications · 454 citations

    12

    h-index

  4. Journal of Number Theory

    11 publications · 314 citations

    10

    h-index

  5. Proceedings of the London Mathematical Society

    8 publications · 435 citations

    8

    h-index

1–5