In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number or ∞ or ?∞ or, in some cases, as both endpoints approach limits. Such an integral is often written symbolically just like a standard definite integral, perhaps with infinity as a limit of integration.
例句与用法
1.
Chapter 4, omitting the section on the existence of the integral but including improper integrals . 第四章略去了关于积分存在性那一节,且包括广义积分。
2.
A new class of nonlinear inequalities involving improper integrals 一类新的含反常积分的非线性不等式
3.
Some nonlinear inequalities involving improper integrals and their discrete analogues 涉及广义积分及其离散模型的某些非线性不等式
4.
Comparison of convergences on regular integral two kinds of improper integral and infinite series 求无穷级数和以及多重积分极限的概率方法
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These new improper integral inequalities are closely related with some integral inequalities proved by the present author in an earlier paper 这类含反常积分的非线性不等式与笔者以前证明的某些非线性积分不等式密切相关。
6.
A priori point - wise estimations are established for bounded functions satisfying a new class of nonlinear inequalities involving improper integrals 摘要对满足一类新的含反常积分非线性不等式的有界函数建立了先验逐点估计。