The -integral of sequence-valued functions on the sequence space ?∞

International Conference on Mathematics: Education, Theory and Application

数学;教育

Muslich^1 ; Sutrima^1 ; Wibowo, Supriyadi^1

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Sebelas Maret University, Surakarta, Indonesia^1

关键词: Fundamental properties;    Integrability;    Integral theory;    Sequence space;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/855/1/012028/pdf
DOI  :  10.1088/1742-6596/855/1/012028

学科分类：发展心理学和教育心理学

来源: IOP

【 摘 要 】

In this paper the -integral of sequence-valued functions, the new concept of integral theory, is constructed. The concept is based on the Mα-integral. We report some of the fundamental properties of the -integral including the uniqueness, linearity, the Cauchy criterion for integrability and the Henstock Lemma.