Additive MeasureDefinition of finitely additive class Consider that the family of subsets of space satisfies the following conditions: Definition of finitely additive measure The set function defined in the finitely additive class of space satisfies the following conditions:
Definition of completely additive measure Consider a finitely additive measure satisfying the following conditions, i.e., the denumerably infinite sets satisfy: Example a real monotone increasing function in ( constant) If we consider for a finite interval , then is a finitely additive measure. is right-hand continuous, is a completely additive measure. [0]Top |