Results 51 to 60 of about 2,948,048 (205)
A Korovkin-type theorem for set-valued Hausdorff continuous functions
Le Matematiche, 1987 In this paper, we give a generalization of a Korovkin-type theorem for set-valued Hausdorff continuous functions (cf. [1] and [2]), by means of upper and lower envelopes.
Michele Campiti
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On Hilbert extensions of Weierstrass' theorem with weights
Journal of Function Spaces and Applications, 2010 In this paper we study the set of ℊ-valued functions which can be approximated by ℊ-valued continuous functions in the norm Lℊ∞(I,w), where I⊂ℝ is a compact interval, ℊ is a separable real Hilbert space and w is a certain ℊ-valued weakly measurable ...
Yamilet Quintana
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On singular interval-valued iteration groups
Frontiers in Applied Mathematics and Statistics, 2016 Let I=(a,b) and L be a nowhere dense perfect set containing the ends of the interval I and let varphi:Ito mathbb R be a non-increasing continuoussurjection constant on the components of Isetminus L and the closures of these components be ...
Marek Cezary Zdun
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Abstract and Applied Analysis, 2014 This paper deals with the Choquet integral of fuzzy-number-valued functions based on the nonnegative real line. We firstly give the definitions and the characterizations of the Choquet integrals of interval-valued functions and fuzzy-number-valued ...
Zengtai Gong, Li Chen, Gang Duan
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Harmonically M-convex Set-valued Function
Abstract This research aimed to introduce the concept of harmonically m-convex set-valued functions, which is obtained from the combination of two definitions: harmonically m-convex functions and setvalued functions. In this work some properties and characteristics are developed, as well as a inequality of the Hermite-Hadamard type for such ...
Santana, Gabriel, Valera-López, Maira
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Hermite–Hadamard inequalities for convex set-valued functions
, 2013 The following version of the weighted Hermite–Hadamard inequalities for set-valued functions is presented: Let Y be a Banach space and F : [a, b] → cl(Y) be a continuous set-valued function.
Flavia-Corina Mitroi +2 more
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Vector-valued means and weakly almost periodic functions
International Journal of Mathematics and Mathematical Sciences, 1994 A formula is set up between vector-valued mean and scalar-valued means that enables us translate many important results about scalar-valued means developed in [1] to vector-valued means.
Chuanyi Zhang
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Translation, modulation and dilation systems in set-valued signal processing
Karpatsʹkì Matematičnì Publìkacìï, 2018 In this paper, we investigate a very important function space consists of set-valued functions defined on the set of real numbers with values on the space of all compact-convex subsets of complex numbers for which the $p$th power of their norm is ...
H. Levent, Y. Yilmaz
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Homotopy Groups for Cellular Set-Valued Functions [PDF]
Proceedings of the American Mathematical Society, 1968 Introduction. Let X be a compact metric space, and 21 be the collection of all nonempty closed subsets of X. The mth homotopy group Mllm(2x, A) for set-valued functions has been studied in [3]. By applying the results of [1], we will prove that if W(n) is the set of all cellular subsets of Sn and pCSn, then MTIm(W(n), p) is isomorphic to the ordinary ...
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Joint Spectra and Analytic Set-Valued Functions [PDF]
Transactions of the American Mathematical Society, 1986 We investigate analyticity of joint spectra of A m {A^m} -valued holomorphic mappings, where A A denotes a complex Banach algebra. We show also that if K K is an analytic set-valued function whose values are compact subsets of
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