approximation of additive convolution like operators real

Approximation of Additive Convolution-Like Operators: Real

ISBN: , SKU: , AUTHOR: Didenko, Victor / Silbermann, Bernd, PUBLISHER: Birkhauser Boston, This book deals with numerical analysis for certain classes of additive operators and related equations, including singular integral operators with conjugation, the Riemann-Hilbert problem, Mellin operators with conjugation, double layer potential equation, and the Muskhelishvili equation. The authors propose a unified approach to the analysis of the approximation methods under consideration based on special real extensions of complex C*-algebras. The list of the methods considered includes spline Galerkin, spline collocation, qualocation, and quadrature methods.

Finitely Additive Measures and Relaxations of Extremal

ISBN: , SKU: , AUTHOR: Chentsov, A. G., PUBLISHER: Springer, This monograph constructs correct extensions of extremal problems, including problems of multicriteria optimization as well as more general cone optimization problems. The author obtains common conditions of stability and asymptotic nonsensitivity of extremal problems under perturbation of a part of integral restrictions for finite and infinite systems of restrictions. Features include individual chapters on nonstandard approximation of finitely additive measures by indefinite integrals and constructions of attraction sets. Professor Chentsov illustrates abstract settings by providing examples of problems of impulse control, mathematical programming, and stochastic optimization. Buy Now

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