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Function Interval Arithmetic [PDF]
, 2014 We propose an arithmetic of function intervals as a basis for convenient rigorous numerical computation. Function intervals can be used as mathematical objects in their own right or as enclosures of functions over the reals. We present two areas of application of function interval arithmetic and associated software that implements the arithmetic: (1 ...
Duracz, Jan +3 more
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Interval arithmetic in calculations
Open Engineering, 2016 Interval arithmetic is the mathematical structure, which for real intervals defines operations analogous to ordinary arithmetic ones. This field of mathematics is also called interval analysis or interval calculations.
Bairbekova Gaziza +3 more
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Mathematics, 2022 Many authors have recently examined the relationship between symmetry and generalized convexity. Generalized convexity and symmetry have become a new area of study in the field of inequalities as a result of this close relationship.
Gustavo Santos-García +4 more
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Paradoxical Functions on the Interval [PDF]
Proceedings of the American Mathematical Society, 1994 In this paper it is shown that any expanding with Lipschitz derivative function f f has a contradictory behaviour from the point of view of chaos in the sense of Li and Yorke. On the one hand it cannot generate scrambled sets of positive Lebesgue measure. On the other hand the two-dimensional set Ch (
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AIMS Mathematics, 2022 In the present research, we develop Hermite-Hadamard type inequalities for interval-valued exponential type pre-invex functions in Riemann-Liouville interval-valued fractional operator settings.
Hongling Zhou +3 more
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Nilpotent pseudogroups of functions on an interval [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2005 13 pages, no ...
Tania M. Begazo, Nicolau C. Saldanha
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Interval oscillation criteria for nonlinear impulsive differential equations with variable delay
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, the interval qualitative properties of a class of second order nonlinear differential equations are studied. For the hypothesis of delay being variable $\tau(t)$, an "interval delay function" is introduced to estimate the ratio of ...
Xiaoliang Zhou, Wu-Sheng Wang
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A Note on the Interval Function of a Disconnected Graph
Discussiones Mathematicae Graph Theory, 2018 In this note we extend the Mulder-Nebeský characterization of the interval function of a connected graph to the disconnected case. One axiom needs to be adapted, but also a new axiom is needed in addition.
Changat Manoj +3 more
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International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
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On Ekeland's variational principle for interval-valued functions with applications [PDF]
arXiv, 2021 In this paper, we obtain a version of Ekeland's variational principle for interval-value functions by means of the Dancs-Hegedus-Medvegyev theorem [14]. We also derive two versions of Ekeland's variational principle involving the generalized Hukuhara Gateaux differentiability of interval-valued functions as well as a version of Ekeland's variational ...
arxiv