The Linearity of Riemann Integral on Functions from ℝ into Real Banach Space
By: Keiko Narita, Noboru Endou and Yasunari Shidama
Open Access
|Oct 2013References
- [1] Józef Białas. Properties of the intervals of real numbers., 3(2): 263-269, 1992.
- [2] Czesław Bylinski. The complex numbers., 1(3):507-513, 1990.
- [3] Czesław Bylinski. Functions and their basic properties., 1(1): 55-65, 1990.
- [4] Czesław Bylinski. Functions from a set to a set., 1(1):153-164, 1990.
- [5] Czesław Bylinski. Partial functions., 1(2):357-367, 1990.
- [6] Czesław Bylinski. Some basic properties of sets., 1(1):47-53, 1990.
- [7] Noboru Endou and Artur Korniłowicz. The definition of the Riemann definite integral and some related lemmas., 8(1):93-102, 1999.
- [8] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definition of integrability for partial functions from R to R and integrability for continuous functions., 9(2):281-284, 2001.
- [9] Keiichi Miyajima, Takahiro Kato, and Yasunari Shidama. Riemann integral of functions from R into real normed space., 19(1):17-22, 2011. doi:10.2478/v10037-011-0003-8.
- [10] Keiichi Miyajima, Artur Korniłowicz, and Yasunari Shidama. Riemann integral of functions from R into n-dimensional real normed space., 20(1):79-86, 2012. doi:10.2478/v10037-012-0011-3.
- [11] Keiko Narita, Noboru Endou, and Yasunari Shidama. Riemann integral of functions from R into real Banach space., 21(2):145-152, 2013. doi:10.2478/forma-2013-0016.
- [12] Adam Naumowicz. Conjugate sequences, bounded complex sequences and convergent complex sequences., 6(2):265-268, 1997.
- [13] Hiroyuki Okazaki, Noboru Endou, and Yasunari Shidama. More on continuous functions on normed linear spaces., 19(1):45-49, 2011. doi:10.2478/v10037-011-0008-3.
- [14] Jan Popiołek. Real normed space., 2(1):111-115, 1991.
- [15] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers., 1(4):777-780, 1990.
- [16] Yasunari Shidama. Banach space of bounded linear operators., 12(1):39-48, 2004.
- [17] Andrzej Trybulec. On the sets inhabited by numbers., 11(4): 341-347, 2003.
- [18] Wojciech A. Trybulec. Vectors in real linear space., 1(2):291-296, 1990.
- [19] Zinaida Trybulec. Properties of subsets., 1(1):67-71, 1990.
- [20] Edmund Woronowicz. Relations and their basic properties., 1 (1):73-83, 1990.
- [21] Edmund Woronowicz. Relations defined on sets., 1(1):181-186, 1990.
- [22] Hiroshi Yamazaki and Yasunari Shidama. Algebra of vector functions., 3(2):171-175, 1992.
Language: English
Page range: 185 - 191
Published on: Oct 1, 2013
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
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© 2013 Keiko Narita, Noboru Endou, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.