Approximation of continuous functions by monotone sequences of generalized polynomials with restricted coefficients.
Gal, S.G. (1992)
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Motivated by some structural properties of Drury-Arveson d-shift, we investigate a class of functions consisting of polynomials and completely monotone functions defined on the semi-group ℕ of non-negative integers, and its operator-theoretic counterpart which we refer to as the class of completely hypercontractive tuples of finite order. We obtain a Lévy-Khinchin type integral representation for the spherical generating tuples associated with such operator tuples and discuss its applications. ...
Chi-Hsing Yong (1969)
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CONTENTSIntroduction..................................................................................................................................................................................... 3CHAPTER I. Basic properties of the best polynomials1. Existence, uniqueness and the characteristic properties of the best polynomials............................................................................... 62. The direct application of the theorem concerning the (n, F)-points to...
Nikolaos C. Kourogenis, Nikolaos S. Papageorgiou (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.