Fundamental theorem of calculus under weaker forms of primitive

Acta Universitatis Sapientiae. Matematica

N. A. Lone¹ 

关键词: Fundamental theorem of calculus;    Kurzweil - Henstock intgeral;    Bochner integral;    Frechet space;   

DOI  :  10.2478/ausm-2018-0009

学科分类：社会科学、人文和艺术（综合）

来源: Editura Scientia / Scientia Publishing House

【 摘 要 】

In this paper we will present abstract versions of fundamen-tal theorem of calculus (FTC) in the setting of Kurzweil - Henstock inte-gral for functions taking values in an in nite dimensional locally convexspace. The result will also be dealt with weaker forms of primitives in awidespread setting of integration theories generalising Riemann integral.

【 授权许可】

Unknown