Theory of Approximation of Functions of a Real Variable

By A. Timan. 1994

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Citations in the corpus

Efficient Multipath Mitigation in Navigation Systems (2004, background): “(See [Tim94] and [Wat80] for a detailed analysis of these techniques.”
Positive $$L^p$$Lp-Bounded Dunkl-Type Generalized Translation Operator and Its Applications (2017, background): “g∗k p,dµk +t 2rk(−∆ k) rg∗k p,dµk . ωr(t,f)p,dµ k , completing the proof.Lp-BOUNDED DUNKL-TYPE GENERALIZED TRANSLATION OPERATOR 39 The next result answers the following important question (see, e.g., [51, 22]): when does the relation (8.2) ωm 1 n ,f p,dµk ≍ En(f)p,dµ k (or similar relations with co”
Applications of classical approximation theory to periodic basis function networks and computational harmonic analysis (2013, background): “There are numerous standard references on the subject (for instance, [6,12,57,66,77]).”
Weierstrass and Approximation Theory (2000, background): “When 2 is replaced by 10, this is generally referenced to van der Waerden [1930] (see also Hildebrandt [1933] and de Rham [1957] where in “simplifying” van der Waerden’s example they rediscovered the Takagi example).”
The Paley–Wiener Theorem in Rn with the Clifford Analysis Setting☆☆☆ (2002, methodology): “Our proof is guided by the one for the classical Paley–Wiener Theorem cited in [19].”
Approximation by trigonometric polynomials in weighted Orlicz spaces (2006, background): “The elegant presentation of the corresponding result in the nonweighted Lebesgue spaces Lp(T), 1 ≤ p ≤ ∞, can be found in [40] and [8].”
A Unified Maximum Likelihood Approach for Estimating Symmetric Properties of Discrete Distributions (2017, unknown): “The bias of their estimator was shown to be at most O ( 1 L √ logn k·n logn ) , which can be shown by using Equation Equation 7.2.2 of (Timan, 1963) E|x−τ |,L,[0,1] ≤ O (√ τ(1− τ) L ) .”
A simple nonparametric approach to estimating the distribution of random coefficients in structural models (2016, unknown): “To see this, note that B f (β)dβ − R r=1 c1(br1) · · · cK (b r K )f (b r) ≤ B f (β)dβ − B L l=1 ãlϕl(β)dβ (44) + L l=1 ãl B ϕl(β)dβ − L l=1 ãl K k=1 rk ιk=1 ck(ιk)ϕl,k(bk,ιk) (45) + L l=1 ãl K k=1 rk ιk=1 ck(ιk)ϕl,k(bk,ιk) − L l=1 ãl R r=1 c1(br) · · · cK (brK )ϕl(b r) (46) + R r=1 ”