Some new dynamic steffensen-type inequalities on a general time scale measure spaceopen access
- Authors
- El-Deeb, Ahmed A.; Hwang, Inho; Park, Choonkil; Bazighifan, Omar
- Issue Date
- 2022
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- Dynamic inequality; Dynamic integral; Steffensen’s inequality; Time scale
- Citation
- AIMS Mathematics, v.7, no.3, pp.4326 - 4337
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS Mathematics
- Volume
- 7
- Number
- 3
- Start Page
- 4326
- End Page
- 4337
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/139964
- DOI
- 10.3934/math.2022240
- Abstract
- Our work is based on the multiple inequalities illustrated by Josip Pečarić in 2013, 1982 and Srivastava in 2017. With the help of a positive σ-finite measure, we generalize a number of those inequalities to a general time scale measure space. Besides that, in order to obtain some new inequalities as special cases, we also extend our inequalities to discrete and continuous calculus.
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