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Titlebook: Approximation Theory, Spline Functions and Applications; S. P. Singh Book 1992 Springer Science+Business Media Dordrecht 1992 Invariant.Ma

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Weighted Polynomials,Weighted polynomials are functions of the form where.(.)...(.), . ≥ 1, where .(.) is a nonnegative continuous function on a closed set . ⊂ ℝ, and the .. are algebraic polynomials of degree ≤ n. Our main interest is to characterize those functions . which are uniformly approximable on . by the weighted polynomials.
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On The Effectiveness of Some Inversion Methods For Noisy Fourier Series,A recent very general method for inversion of noisy Fourier series (given in [2]) employs suitable approximate units. In this paper, for some classical kernels, we give the estimates of the parameters involved in the method and we test it numerically.
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Korovkin Theorems For Vector-Valued Continuous Functions,In this paper we consider some Korovkin type results in the space of continuous functions with values in a fixed locally convex space; we give some conditions which generalize in a natural way those well-known for continuous real-valued functions.
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On Modified Bojanic-Shisha Operators,Rates of convergence of certain approximation methods are given for functions whose smoothness is measured in terms of the second modulus of continuity.
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A Property of Zeros and Cotes Numbers of Hermite and Laguerre Orthogonal Polynomials,A property of localization of the zeros of three consecutive orthogonal polynomials of Hermite and Laguerre is proved. Then, a monotonic property of Cotes Numbers for abscissas of Hermite and Laguerre is, also proved.
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