Results 21 to 30 of about 2,948,048 (205)
Abstract Weyl-type theorems [PDF]
In this paper, we give a new approach to the study of Weyl-type theorems. Precisely, we introduce the concepts of spectral valued and spectral partitioning functions.
Mohammed Berkani
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On a Method of Solving Some Functional Equations for Set-Valued Functions
In the first part of the paper we collect and prove several properties of the Hausdorff metric and the Hukuhara difference. They are applied in the next part where a tool for solving several equations for set-valued functions is described.
J. Sikorska
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Markov set-valued functions and their inverse limits
In this paper we introduce the definition of a Markov set-valued function and show that the inverse limits of two similar Markov set-valued functions are homeomorphic. This generalizes results of S. Holte, I. Banic, M. Crepnjak, and T. Lunder.
Lori Alvin, James P. Kelly
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Cauchy Integral and Boundary Value for Vector-Valued Tempered Distributions
Using the historically general growth condition on scalar-valued analytic functions, which have tempered distributions as boundary values, we show that vector-valued analytic functions in tubes TC=Rn+iC obtain vector-valued tempered distributions as ...
Richard D. Carmichael
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Interpolation of set-valued functions
Abstract 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. In the first stage, we develop an efficient algorithm for computing an interpolant to $F$, inspired by the ‘metric polynomial ...
Muzaffar, Qusay, Dyn, Nira, Levin, David
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Optimization of Set-Valued Functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions
Based on the concept of lacunary statistical convergence of sequences of fuzzy numbers, the lacunary statistical convergence, uniformly lacunary statistical convergence, and equi-lacunary statistical convergence of double sequences of fuzzy-valued ...
Ömer Kişi
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The Score, Accuracy, and Certainty Functions determine a Total Order on the Set of Neutrosophic Triplets (T, I, F) [PDF]
In this paper we prove that the Single-Valued (and respectively Interval-Valued, as well as Subset-Valued) Score, Accuracy, and Certainty Functions determine a total order on the set of neutrosophic triplets (T, I, F).
Florentin Smarandache
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Shannon’s Sampling Theorem for Set-Valued Functions with an Application
In 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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Boolean Valued Representation of Random Sets and Markov Kernels with Application to Large Deviations
We establish a connection between random set theory and Boolean valued analysis by showing that random Borel sets, random Borel functions, and Markov kernels are respectively represented by Borel sets, Borel functions, and Borel probability measures in a
Antonio Avilés López +1 more
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