Results 1 to 10 of about 10,614,760 (320)
Decomposition Integrals of Set-Valued Functions Based on Fuzzy Measures
Mathematics, 2023 The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integrals,
Leifan Yan, Tong Kang, Huai Zhang
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Selection Properties and Set-Valued Young Integrals of Set-Valued Functions [PDF]
Results in Mathematics, 2020 AbstractThe paper deals with some selection properties of set-valued functions and different types of set-valued integrals of a Young type. Such integrals are considered for classes of Hölder continuous or with bounded Young p-variation set-valued functions.
Mariusz Michta, Jerzy Motyl
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Shannon’s Sampling Theorem for Set-Valued Functions with an Application
MathematicsIn this study, we defined a kind of Fourier expansion of set-valued square-integrable functions. In fact, we have seen that the classical Fourier basis also constitutes a basis for the Hilbert quasilinear space L2(−π,π,Ω(C)) of Ω(C)-valued square ...
Yılmaz Yılmaz +2 more
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Set-Valued Functions of Bounded Generalized Variation and Set-Valued Young Integrals [PDF]
Journal of Theoretical Probability, 2020 AbstractThe paper deals with some properties of set-valued functions having bounded Riesz p-variation. Set-valued integrals of Young type for such multifunctions are introduced. Selection results and properties of such set-valued integrals are discussed.
Mariusz Michta, Jerzy Motyl
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Interpolation of Set-Valued Functions [PDF]
IMA Journal of Numerical Analysis, 2022 Given a finite number of samples of a continuous set-valued function F, mapping an interval to compact subsets of the real line, we develop good approximations of F, which can be computed efficiently.
N. Dyn, D. Levin, Qusay Muzaffar
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Integrals of set-valued functions
Journal of Mathematical Analysis and Applications, 1965 R. Aumann
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Strong m-Convexity of Set-Valued Functions
Annales Mathematicae Silesianae, 2023 In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also ...
Lara Teodoro +3 more
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Set-Valued $$\alpha $$-Fractal Functions
Constructive Approximation, 2023 In this paper, we introduce the concept of the $\alpha$-fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbers. Also, we study some properties of such fractal functions. Further, we estimate the perturbation error between the given continuous function and its $\alpha$-fractal ...
Pandey, Megha +2 more
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Set-Valued T-Translative Functions and Their Applications in Finance
Mathematics, 2021 A theory for set-valued functions is developed, which are translative with respect to a linear operator. It is shown that such functions cover a wide range of applications, from projections in Hilbert spaces, set-valued quantiles for vector-valued random
Andreas H. Hamel, Frank Heyde
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Integration of compact set-valued functions [PDF]
Pacific Journal of Mathematics, 1975 provided by applying the McShane ^-integral. This integral is a Riemann-type integral and includes the Bochner, Lebesgue and other types of integrals, and by using Riemann sums it avoids deep measure theory. Thus, the ^-integral of set-valued functions contains other types of integrals such as the Hukuhara and Debreu integrals. Generalizations of known
Artstein, Zvi, Burns, John A.
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