Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
Muhammad Aamir Ali, Yu‐Ming Chu, Hüseyin Budak, Abdullah Akkurt, Hüseyin Yıldırım, Manzoor Ahmed Zahid
Abstract
Abstract In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals. We also consider the particular cases of the key results and offer some new integral inequalities.
Topics & Concepts
MathematicsIdentity (music)Type (biology)InequalityQuantumPure mathematicsOrdinary differential equationAlgebra over a fieldMathematical analysisDifferential equationQuantum mechanicsEcologyPhysicsAcousticsBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMathematical functions and polynomials