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Estimates of quantum bounds pertaining to new q-integral identity with applications

Muhammad Uzair Awan, Sadia Talib, Artion Kashuri, Muhammad Aslam Noor, Yu‐Ming Chu

2020Advances in Difference Equations22 citationsDOIOpen Access PDF

Abstract

Abstract In this article, we establish a new generalized q -integral identity involving a q -differentiable function. Using this new auxiliary result, we obtain some new associated quantum bounds essentially using the class of preinvex functions. At the end, we present some applications to the special bivariate means to show the significance of the obtained results. Our approaches and obtained results may lead to further applications in physics.

Topics & Concepts

Bivariate analysisMathematicsIdentity (music)Differentiable functionQuantumClass (philosophy)Ordinary differential equationFunction (biology)Pure mathematicsApplied mathematicsMathematical analysisDifferential equationQuantum mechanicsStatisticsPhysicsComputer scienceEvolutionary biologyBiologyArtificial intelligenceAcousticsMathematical Inequalities and ApplicationsMathematical functions and polynomialsIterative Methods for Nonlinear Equations
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