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Informationen zum Autor G. H. Kirov Klappentext Approximation with Quasi-Splines is a detailed account of a highly useful technique in numerical analysis.The book presents the requisite approximation theorems and optimization methods, developing a unified theory of one and several variables. The author applies his techniques to the evaluation of definite integrals (quadrature) and its many-variables generalization, which he calls "cubature." This book should be required reading for all practitioners of the methods of approximation, including researchers, teachers, and students in applied, numerical and computational mathematics. Zusammenfassung Describes various approximation theorems and optimization methods. This book offers an account of this useful technique in numerical analysis. It is suitable for various practitioners of the methods of approximation, including researchers, teachers, and students in computational mathematics. Inhaltsverzeichnis Introduction. Restoration of functions of one variable. Restoration of functions of several variables. Some quadrature formulas. Optimal cubature formulas with lattice restrictions for the functional classes ^IH^Ow1w2^I(D^T2) and ^IH^Ow^I(D^O2^I). Approximation of functions with rational quasi-splines. Applications.
