Concepedia

Generalized Riemann Integrals

Generalized Riemann Integrals is an extension of the classical Riemann integral that relaxes the requirements of integrability by allowing integration over unbounded intervals or of functions with singularities through limiting processes.

103

Publications

3.4K

Citations

164

Authors

114

Institutions

Publications per year

2017–2026

28

Variants

Gauge IntegralGeneralized Riemann IntegralHenstock-kurzweil Integral

Parents

Publications

103

The Generalized Riemann Problem for Linear Differential Equations and the Allied Problems for Linear Difference and q-Difference Equations

George D. Birkhoff · Proceedings of the American Academy of Arts and Sciences · 1913 · 184 citations

, , +15

On the generalization of some integral inequalities and their applications

Mehmet Zeki Sarıkaya, Nesip Aktan · Mathematical and Computer Modelling · 2011 · 183 citations · Full text

, , +9

Mathematical analysis: an introduction

Choice Reviews Online · 1996 · 148 citations

, , +15

Differential Equations of Non-Integer Order

J. H. Barrett · Canadian Journal of Mathematics · 1954 · 121 citations · Full text

, , +6

On the Generalized Hermite–Hadamard Inequalities via the Tempered Fractional Integrals

Pshtiwan Othman Mohammed, Mehmet Zeki Sarıkaya, Dumitru Bǎleanu · Symmetry · 2020 · 112 citations · Full text

, , +10

1–5 of 103

Authors

164

  1. DB
    Dumitru Bǎleanu

    Çankaya University, Türkiye

    3 publications · 152 citations

    3

    h-index

  2. TA
    Thabet Abdeljawad

    Prince Sultan University, Saudi Arabia

    3 publications · 148 citations

    3

    h-index

  3. MZ
    Mehmet Zeki Sarıkaya

    Düzce Üniversitesi, Türkiye

    3 publications · 308 citations

    3

    h-index

  4. BP
    Bin Pei

    Northwestern Polytechnical University, China

    3 publications · 38 citations

    3

    h-index

  5. GI
    Gino I. Montecinos

    University of Trento, Italy

    2 publications · 82 citations

    3

    h-index

1–5 of 164

Institutions

114

  1. Düzce Üniversitesi

    Düzce, Türkiye

    5 h-index

    6 publications

    531 citations

  2. COMSATS University Islamabad

    Islamabad, Pakistan

    5 h-index

    6 publications

    193 citations

  3. China Medical University

    Taichung, Taiwan

    4 h-index

    4 publications

    221 citations

  4. Çankaya University

    Ankara, Türkiye

    4 h-index

    4 publications

    204 citations

  5. University of Trento

    Trento, Italy

    3 h-index

    5 publications

    221 citations

  6. Stanford University

    Stanford, United States

    3 h-index

    3 publications

    87 citations

  7. Institute of Space Science - INFLPR Subsidiary

    Măgurele, Romania

    3 h-index

    3 publications

    152 citations

  8. Taif University

    Ta'if, Saudi Arabia

    3 h-index

    3 publications

    43 citations

1–8 of 114

Venues

  1. Mathematics of Computation

    MCOM · 6 publications · 104 citations

    6

    h-index

  2. Real Analysis Exchange

    6 publications · 81 citations

    6

    h-index

  3. Journal of Computational Physics

    4 publications · 215 citations

    5

    h-index

  4. Journal of Inequalities and Applications

    4 publications · 126 citations

    4

    h-index

  5. Advances in Difference Equations

    3 publications · 190 citations

    3

    h-index

1–5