Integration of mappings of half-ordered rings

• Дата: 1992
• Автори: Sobolev , V. I., Shcherbin , V. M., Соболев , В. И., Щербин , В. М.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/7897
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Lebesgue type integrals of mappings f: E → X, where X is a semiordered ring and E ⊂R, over a measure with values lying in X are studied. Usual properties of the integral are proved, including theorems on limits under the integral as well as those on absolute continuity and complete additivity of the...