Research into Progressiveness of Intermediate Point and Convergence Rate of the Second Mean Value Theorem for Integrals

Abstract

AbstractThe intermediate of the second mean value theorem of integrals have been studied from two aspects: the general position of intermediate in some sector can be confirmed, which provides a new method for approximation, through asymptotic studies on intermediate of the second mean value theorem of integrals. For another, This paper attempts to further explore the convergence rate of intermediate.Keywordsthe second mean value theorem for integralsintermediate pointprogressivenessconvergence rate