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020 _a9783030042875
024 7 _a10.1007/978-3-030-04287-5
_2doi
040 _aES-MaUEC
_bspa
_dES-MaUEC
050 4 _aQA221
_b2019 EB
100 1 _aAnastassiou, George A.
_d1952-
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_997076
245 1 0 _aOrdinary and Fractional Approximation by Non-additive Integrals :
_bChoquet, Shilkret and Sugeno Integral Approximators
_cby George A. Anastassiou.
264 1 _aCham
_bSpringer International Publishing
_bImprint: Springer
_c2019.
300 _a1 recurso en línea (XIV, 347 páginas)
_bilustraciones
347 _atext file
_bPDF
490 0 _aStudies in Systems Decision and Control
_x2198-4182
_v190
490 0 _aIntelligent Technologies and Robotics (Springer-42732)
505 0 _aApproximation with rates by Kantorovich-Choquet quasi-interpolation neural network operators -- Approximation with rates by Perturbed Kantorovich-Choquet Neural Network Operators -- Approximation with rates by Shift Invariant Univariate Sublinear-Choquet Operators -- Approximation with rates by Shift Invariant Multivariate Sublinear-Choquet Operators -- Hardy type inequalities for Choquet integrals -- Quantitative Approximation by Choquet integrals -- Conformable Fractional Approximation by Choquet integrals -- Multivariate and Convex Quantitative Approximation by Choquet integrals -- Caputo and Canavati fractional Quantitative Approximation by Choquet integrals -- Mixed Conformable and Iterated fractional Quantitative Approximation by Choquet integrals.
520 3 _aOrdinary and fractional approximations by non-additive integrals, especially by integral approximators of Choquet, Silkret and Sugeno types, are a new trend in approximation theory. These integrals are only subadditive and only the first two are positive linear, and they produce very fast and flexible approximations based on limited data. The author presents both the univariate and multivariate cases. The involved set functions are much weaker forms of the Lebesgue measure and they were conceived to fulfill the needs of economic theory and other applied sciences. The approaches presented here are original, and all chapters are self-contained and can be read independently. Moreover, the book's findings are sure to find application in many areas of pure and applied mathematics, especially in approximation theory, numerical analysis and mathematical economics (both ordinary and fractional). Accordingly, it offers a unique resource for researchers, graduate students, and for coursework in the above-mentioned fields, and belongs in all science and engineering libraries.
650 7 _aAproximación, Teoría de la
_2embne
_9160958
776 0 8 _iPrinted edition:
_z9783030042868
776 0 8 _iPrinted edition:
_z9783030042882
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-04287-5
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
988 _aPrimersemestre_2019_Robotics
998 _aSI
_a_alco
_a_vill
_b11/2019
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