A variety of dynamic $ \alpha $-conformable Steffensen-type inequality on a time scale measure space | Zendy

Ahmed A. ElDeeb | Zendy; Osama Moaaz | Zendy; Dumitru Băleanu | Zendy; Sameh Askar | Zendy

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A 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} $.

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