Asymptotic expansions of a class of integrals

Abstract

Abstract The purpose of this paper is to study the expansion with respect to the large and real parameter λ of the integral I(λ) : = fp ∫b0f(x)K(x, λx) dx, when weak assumptions are required for the pseudofunctions f(x) and K(x, u) and the symbol fp means the integration in the finite part sense of Hadamard.