Mean approximation by polynomials on a Jordan curve
نویسندگان
چکیده
منابع مشابه
On the approximation by {polynomials
As usual, p∗ is called a best approximation (b.a.) to f in (or, by elements of) IPγ,n. To give some examples, let X = Lp[0, 1] and set γ(t) = G(·, t), where G(s, t) is defined on [0, 1] × T . With G Green’s function for a k–th order ordinary linear initial value problem on (0, 1] and T = [0, 1), one has approximation by generalized splines. With G(s, t) = e and T = IR, one has approximation by ...
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(4) Let G be a Go-board, p be a point of E2 T, and i, j be natural numbers. Suppose 1 ≤ i and i + 1 ≤ lenG and 1 ≤ j and j + 1 ≤ widthG. Then p ∈ Intcell(G, i, j) if and only if the following conditions are satisfied: (i) (G◦ (i, j))1 < p1, (ii) p1 < (G◦ (i+1, j))1, (iii) (G◦ (i, j))2 < p2, and (iv) p2 < (G◦ (i, j +1))2. (5) For every non constant standard special circular sequence f holds BDD ...
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1. Introduction 2. The Weierstrass approximation theorem 3. Estimates for the Bernstein polynomials 4. Weierstrass' original proof 5. The Stone–Weierstrass approximation theorem 6. Chebyshev's theorems 7. Approximation by polynomials and trigonometric polynomials 8. The nonexistence of a continuous linear projection 9. Approximation of functions of higher regularity 10. Inverse theorems Referen...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1971
ISSN: 0021-9045
DOI: 10.1016/0021-9045(71)90013-x