Open AccessA variety of dynamic $ \alpha $-conformable Steffensen-type inequality on a time scale measure space
Author(s) -
Ahmed A. ElDeeb,
Osama Moaaz,
Dumitru Băleanu,
Sameh Askar
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022635
Subject(s) - conformable matrix , type (biology) , measure (data warehouse) , mathematics , variety (cybernetics) , alpha (finance) , inequality , space (punctuation) , scale (ratio) , pure mathematics , discrete mathematics , calculus (dental) , combinatorics , mathematical analysis , computer science , physics , statistics , database , medicine , ecology , construct validity , dentistry , quantum mechanics , biology , operating system , psychometrics
The main objective of this work is to establish several new alpha-conformable of Steffensen-type inequalities on time scales. Our results will be proved by using time scales calculus technique. We get several well-known inequalities due to Steffensen, if we take $ \alpha = 1 $. Some cases we get continuous inequalities when $ \mathbb{T} = \mathbb{R} $ and discrete inequalities when $ \mathbb{T} = \mathbb{Z} $.