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Certain parameterized inequalities arising from fractional integral operators with exponential kernels

Authors :
Zhengrong Yuan
Tingsong Du
Qiang Zhang
Taichun Zhou
Source :
Filomat. 35:1707-1724
Publication Year :
2021
Publisher :
National Library of Serbia, 2021.

Abstract

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.

Details

ISSN :
24060933 and 03545180
Volume :
35
Database :
OpenAIRE
Journal :
Filomat
Accession number :
edsair.doi...........02d6437d5bdb0800a912fc0022ef54e1