MATHEMATICA BOHEMICA, Vol. 128, No. 2, pp. 113-119 (2003)

A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili

Guoju Ye, Peng-Yee Lee

Guoju Ye, Department of Mathematics, Northwest Normal University, Lanzhou 730070, Peoples Republic of China, recently Matematicky ustav AV CR, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: yeguoju@21cn.com, yeguoju@math.cas.cz; Peng-Yee Lee, Division of Mathematics, National Institute of Education, Singapore 637616, e-mail: pylee@nie.edu.sg

Abstract: We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of $CD$ filtering.

Keywords: approximately continuous integral, Denjoy integral, Chelidze-Djvarsheishvili integral

Classification (MSC2000): 26A39, 26B15

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