Quantum Analogues of an Iyengar Type Inequality Involving Second Differentiable Function
Starting with the definitions and Newton-Leibniz formula of q-integral and qb-integral,Iyengar type inequalities for the quantum integral are established for functions whose second q-derivatives and second qb-derivatives are bounded.It is also shown that the inequalities obtained hold even under weak conditions.The results of this paper are quantum analogues of an Iyengar type inequality involving second derivatives.
Iyengar Type Inequalityq-Derivativesqb-Derivativesq-Integralqb-IntegralDifferentiable Function