Open AccessCertain parameterized inequalities arising from fractional integral operators with exponential kernels
Author(s) -
Zhengrong Yuan,
Taichun Zhou,
Qiang Zhang,
Tingsong Du
Publication year - 2021
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/fil2105707y
Subject(s) - mathematics , exponential integral , parameterized complexity , fractional calculus , digamma function , identity (music) , exponential function , divergence (linguistics) , type (biology) , inequality , mathematical analysis , pure mathematics , calculus (dental) , volume integral , integral equation , combinatorics , riemann zeta function , medicine , linguistics , philosophy , physics , ecology , dentistry , prime zeta function , arithmetic zeta function , acoustics , biology
We utilize the definition of a fractional integral operators, which was presented by Ahmad et al., to investigate a general fractional-type identity with a parameter. We establish certain parameterized fractional integral inequalities based on this identity, and provide two examples to illustrate the obtained results. Also, these results derived in this paper are applied to the estimations of q-digamma function, divergence measures and cumulative distribution function, respectively.