论文信息 - ON THE PSEUDO-LEBESGUE-STIELTJES INTEGRAL

ON THE PSEUDO-LEBESGUE-STIELTJES INTEGRAL

The aim of this paper is to create a theory of pseudo- Lebesgue-Stieltjes integral for pseudo-probability defined in (6). We show the relations between the pseudo-Lebesgue integral and pseudo-Lebesgue- Stieltjes integral and some applications, too.

Katar ´ ina Lendelova

[1] Integration with respect to a $oplus$-measure , 1986 .

[2] B. Riecan,et al. Integral, Measure, and Ordering , 1997 .

[3] On integration with respect to a measure , 1957 .

[4] E. Pap. Null-Additive Set Functions , 1995 .

[5] M. Sugeno,et al. Pseudo-additive measures and integrals , 1987 .

[6] C. Geiss,et al. An introduction to probability theory , 2008 .

[7] R. Taylor. A User's Guide to Measure-Theoretic Probability , 2003 .

[8] Radko Mesiar,et al. Integration with Respect to Decomposable Measures, Based on a Conditionally Distributive Semiring on the Unit Interval , 2000, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[9] Paul G. Hoel,et al. Introduction to Probability Theory , 1972 .