Open AccessSome new dynamic Steffensen-type inequalities on a general time scale measure space
Author(s) -
Ahmed A. ElDeeb,
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Inho Hwang,
Choonkil Park,
Omar Bazighifan,
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Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022240
Subject(s) - measure (data warehouse) , mathematics , inequality , scale (ratio) , type (biology) , space (punctuation) , calculus (dental) , pure mathematics , sigma , mathematical analysis , computer science , physics , medicine , ecology , dentistry , quantum mechanics , database , biology , operating system
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 $ \sigma $-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.