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

Ahmed A. El‐Deeb, Osama Moaaz, Dumitru Bǎleanu, Sameh Askar

2022AIMS Mathematics10 citationsDOIOpen Access PDF

Abstract

<abstract><p>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} $.</p></abstract>

Topics & Concepts

Conformable matrixType (biology)Measure (data warehouse)MathematicsVariety (cybernetics)Alpha (finance)InequalitySpace (punctuation)Scale (ratio)Pure mathematicsDiscrete mathematicsCalculus (dental)CombinatoricsMathematical analysisComputer sciencePhysicsStatisticsDatabaseOperating systemConstruct validityQuantum mechanicsMedicineEcologyDentistryBiologyPsychometricsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems
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