Open AccessGeneralized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications
Author(s) -
Chunyan Luo,
Tingsong Du
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2003751l
Subject(s) - mathematics , type (biology) , riemann hypothesis , quadrature (astronomy) , pure mathematics , digamma function , mathematical analysis , calculus (dental) , arithmetic zeta function , electrical engineering , biology , engineering , medicine , ecology , dentistry , prime zeta function
We establish a Simpson type identity and several Simpson type inequalities for Riemann-Liouville fractional integrals. As applications, we apply the obtained results to special means of real numbers, an error estimate for Simpson type quadrature formula, and q-digamma function, respectively.