Higher-Order Partial Differentiation
By: Noboru Endou, Hiroyuki Okazaki and Yasunari Shidama
Open Access
|Feb 2013References
- [1] Grzegorz Bancerek. The ordinal numbers., 1():91-96, 1990.
- [2] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1():107-114, 1990.
- [3] Czesław Bylinski. The complex numbers., 1():507-513, 1990.
- [4] Czesław Bylinski. Finite sequences and tuples of elements of a non-empty sets., 1():529-536, 1990.
- [5] Czesław Bylinski. Functions from a set to a set., 1():153-164, 1990.
- [6] Czesław Bylinski. Partial functions., 1():357-367, 1990.
- [7] Czesław Bylinski. The sum and product of finite sequences of real numbers., 1():661-668, 1990.
- [8] Agata Darmochwał. The Euclidean space., 2():599-603, 1991.
- [9] Noboru Endou and Yasunari Shidama. Completeness of the real Euclidean space., 13():577-580, 2005.
- [10] Noboru Endou, Yasunari Shidama, and Keiichi Miyajima. Partial differentiation on normed linear spaces., 15():65-72, 2007, doi:10.2478/v10037-007-0008-5.
- [11] Krzysztof Hryniewiecki. Basic properties of real numbers., 1():35-40, 1990.
- [12] Takao Inou´e, Noboru Endou, and Yasunari Shidama. Differentiation of vector-valued functions on-dimensional real normed linear spaces., 18():207-212, 2010, doi: 10.2478/v10037-010-0025-7.
- [13] Takao Inou´e, Adam Naumowicz, Noboru Endou, and Yasunari Shidama. Partial differentiation of vector-valued functions on-dimensional real normed linear spaces., 19():1-9, 2011, doi: 10.2478/v10037-011-0001-x.
- [14] Jarosław Kotowicz. Real sequences and basic operations on them., 1():269-272, 1990.
- [15] Keiichi Miyajima and Yasunari Shidama. Riemann integral of functions from R into., 17():179-185, 2009, doi: 10.2478/v10037-009-0021-y.
- [16] Keiko Narita, Artur Kornilowicz, and Yasunari Shidama. More on the continuity of real functions., 19():233-239, 2011, doi: 10.2478/v10037-011-0032-3.
- [17] Takaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces., 12():269-275, 2004.
- [18] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions., 1():223-230, 1990.
- [19] Beata Perkowska. Functional sequence from a domain to a domain., 3():17-21, 1992.
- [20] Jan Popiołek. Real normed space., 2():111-115, 1991.
- [21] Yasunari Shidama. Banach space of bounded linear operators., 12():39-48, 2004.
- [22] Zinaida Trybulec. Properties of subsets., 1():67-71, 1990.
- [23] Edmund Woronowicz. Relations defined on sets., 1():181-186, 1990.
Language: English
Page range: 113 - 124
Published on: Feb 2, 2013
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Related subjects:
© 2013 Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.