References
- [1] M. J. Cloud, R. B. Kearfott, R. E. Moore, Introduction to Interval Analysis, Philadelphia: Society for Industrial and Applied Mathematics (SIAM).
- [2] E. Davis, Constraint propagation with interval labels. Artifical Intelligence, 32(3) (1987) 281–331.10.1016/0004-3702(87)90091-9
- [3]Á. Figula, Á. Száz, Graphical relationships between the infimum and intersection convolutions. Math. Pannonica, 21/1 (2010) 23–35.
- [4] L. Fuchs, Partially Ordered Algebraic Systems, Dover Publications, Inc. Minesota, New York. 1963.
- [5] R. J. Hanson, Interval arithmetic as a closed arithmetic system on a computer. Technical Memorandum 197, Jet Propulsion Laboratory, Section 314, California Institute of Technology, Pasadena, CA.
- [6] T. Glavosits, Zs. Karácsony, Sums and products of intervals in ordered semigroups, An. St. Univ. Ovidius Constanta, Vol. 29 (2) (2021), 187–198.10.2478/auom-2021-0025
- [7] T. Glavosits, Zs. Karácsony, Existence and unicity theorems for additive and logarithmic functional equations, accepted in Communications in Mathematics, 2021.
- [8] T. Glavosits,Á. Száz, On the existence of nonnegativity domains of subsets of groups. Demonstratio Math., 37 (2004), 505–516.
- [9] L. Jaulin, M. Kieffer, O. Didrit, É. Walter, Applied Interval Analysis. Springer, London, (2001).10.1007/978-1-4471-0249-6
- [10] W. Kahan, A more complete interval arithmetic, Lecture notes for a summer course. University of Toronto, Canada
- [11] R. B. Kearfott, Rigorous Global Search: Continuous Problems, Kluwer, Dordrecht, (1996)
- [12] F. W. Levi, Arithmetische Gesetze im Gebiete diskreter Gruppen, Rend. Circ. Mat. Palermo, 35 (1913), 225–236.10.1007/BF03015602
- [13] P. Lorenzen, Abstrakte Begründung der multiplikativen Idelatheorie, Math. Z., 45 (1939), 533–553.10.1007/BF01580299
- [14] R. E. Moore, Automatic error analysis in digital computation. Technical Report LMSD-48421 Lockheed Missiles and Space Co, Palo Alto, CA., (1959)
- [15] R. E. Moore, Interval Arithmetic and Automatic Error Analysis in Digital Computing. Department Analysis, Stanford University, (1962)
- [16] R. E. Moore, Interval Analysis. Englewood Cliff, New Jersey, USA: Prentice-Hall., 35 (1966)
- [17] J. J. Moreau, Inf-convolution, sous-additivité, convexité des fonctions numériques. J. Math. Pures Appl., 49 (1970) 109–154.
- [18] H. Simbireva, On the theory of partially ordered groups, Mat. Sb., 20 (1947), 145–178. (in Russian)
