|
|
The Parametric Integral Properties of Limit Functions of Uniformly Convergent Binary Function Sequences and Series of Function Items
|
FEI Shilong,REN Yarou
|
|
|
Abstract
In this paper, the existence, the continuity, differentiability and integrability of parametric integrals corresponding to uniformly convergent limit functions and the series of function items are studied through the existence, the continuity, differentiability and integrability of parametric integrals of binary function sequences. We obtain the conditions of the exchange order of parametric integrals about limit function and the limit order, derivative and the cumulative integral in the sence of uniformly convergence. At last, the conditions that exchange order of parametric integrals and infinite sum and derivative are obtained.
|
Published: 25 January 2023
|
|
|
|
|
|
|