Generalized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications | Zendy

Chunyan Luo | Zendy; Tingsong Du | Zendy

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Generalized 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.

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