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On Cauchy–Schwarz inequality for N-tuple diamond-alpha integral

Ximei Hu, Jing-Feng Tian, Yu‐Ming Chu, LU Yan-xia

2020Journal of Inequalities and Applications35 citationsDOIOpen Access PDF

Abstract

Abstract In this paper, we present some new Cauchy–Schwarz inequalities for N -tuple diamond-alpha integral on time scales. The obtained results improve and generalize some Cauchy–Schwarz type inequalities given by many authors.

Topics & Concepts

MathematicsCauchy–Schwarz inequalityTupleCauchy distributionAdditive Schwarz methodInequalityAlpha (finance)Type (biology)Pure mathematicsMathematical analysisDiscrete mathematicsStatisticsPsychometricsBiologyEcologyThermodynamicsDomain decomposition methodsConstruct validityPhysicsFinite element methodMathematical Inequalities and ApplicationsNonlinear Differential Equations AnalysisFunctional Equations Stability Results