Lebesgue's Convergence Theorem of Complex-Valued Function
By: Keiko Narita, Noboru Endou and Yasunari Shidama
Open Access
|Jul 2009References
- [1] Grzegorz Bancerek. The ordinal numbers., 1(1):91-96, 1990.
- [2] Józef Białas. Series of positive real numbers. Measure theory., 2(1):173-183, 1991.
- [3] Józef Białas. The σ-additive measure theory., 2(2):263-270, 1991.
- [4] Czesław Byliński. The complex numbers., 1(3):507-513, 1990.
- [5] Czesław Byliński. Functions and their basic properties., 1(1):55-65, 1990.
- [6] Czesław Byliński. Functions from a set to a set., 1(1):153-164, 1990.
- [7] Czesław Byliński. Partial functions., 1(2):357-367, 1990.
- [8] Noboru Endou, Keiko Narita, and Yasunari Shidama. The Lebesgue monotone convergence theorem., 16(2):167-175, 2008, doi:10.2478/v10037-008-0023-1.
- [9] Noboru Endou and Yasunari Shidama. Integral of measurable function., 14(2):53-70, 2006, doi:10.2478/v10037-006-0008-x.
- [10] Noboru Endou, Yasunari Shidama, and Keiko Narita. Egoroff's theorem., 16(1):57-63, 2008, doi:10.2478/v10037-008-0009-z.
- [11] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definitions and basic properties of measurable functions., 9(3):495-500, 2001.
- [12] Krzysztof Hryniewiecki. Basic properties of real numbers., 1(1):35-40, 1990.
- [13] Jarosław Kotowicz. Convergent sequences and the limit of sequences., 1(2):273-275, 1990.
- [14] Jarosław Kotowicz. Real sequences and basic operations on them., 1(2):269-272, 1990.
- [15] Keiko Narita, Noboru Endou, and Yasunari Shidama. Integral of complex-valued measurable function., 16(4):319-324, 2008, doi:10.2478/v10037-008-0039-6.
- [16] Keiko Narita, Noboru Endou, and Yasunari Shidama. The measurability of complex-valued functional sequences., 17(2):89-97, 2009, doi: 10.2478/v10037-009-0010-1.
- [17] Adam Naumowicz. Conjugate sequences, bounded complex sequences and convergent complex sequences., 6(2):265-268, 1997.
- [18] Andrzej Nędzusiak. σ-fields and probability., 1(2):401-407, 1990.
- [19] Beata Padlewska. Families of sets., 1(1):147-152, 1990.
- [20] Beata Perkowska. Functional sequence from a domain to a domain., 3(1):17-21, 1992.
- [21] Konrad Raczkowski and Andrzej Nędzusiak. Series., 2(4):449-452, 1991.
- [22] Yasunari Shidama and Noboru Endou. Integral of real-valued measurable function., 14(4):143-152, 2006, doi:10.2478/v10037-006-0018-8.
- [23] Yasunari Shidama and Artur Korniłowicz. Convergence and the limit of complex sequences. Series., 6(3):403-410, 1997.
- [24] Zinaida Trybulec. Properties of subsets., 1(1):67-71, 1990.
- [25] Edmund Woronowicz. Relations and their basic properties., 1(1):73-83, 1990.
- [26] Edmund Woronowicz. Relations defined on sets., 1(1):181-186, 1990.
Language: English
Page range: 137 - 145
Published on: Jul 14, 2009
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
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© 2009 Keiko Narita, Noboru Endou, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.