Degree of approximation by monotone polynomials. II

DOI10.1016/0021-9045(69)90022-7zbMath0175.06102OpenAlexW4206447968MaRDI QIDQ2532822

K. L. Zeller, George G. Lorentz

Publication date: 1969

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(69)90022-7

zbMATH Keywords

approximations and series expansions

Related Items (19)

Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update ⋮ Exact estimates for partially monotone approximation ⋮ Jackson's theorem in \(L^ p\), \(0<p<1\), for algebraic polynomials, and orders of comonotone approximations ⋮ On a counterexample in monotone approximation ⋮ On Müntz rational approximation ⋮ Some remarks on the degree of monotone approximation ⋮ Positive results and counterexamples in comonotone approximation ⋮ Jackson-type theorems for approximation with Hermite-Birkhoff interpolatory side conditions ⋮ Jackson-type estimates for monotone approximation ⋮ Nearly Comonotone Approximation ⋮ Polynomials of best approximation which are monotone ⋮ Negative Theorems on Monotone Approximation ⋮ On constants in coconvex approximation of periodic functions ⋮ Orders of coapproximation of functions by algebraic polynomials ⋮ Are the degrees of best (co)convex and unconstrained polynomial approximation the same? ⋮ Piecewise coapproximation and the Whitney inequality. ⋮ On interpolation and approximation by polynomials with monotone derivatives ⋮ Pointwise estimates for monotone polynomial approximation ⋮ A counterexample on monotone Müntz approximation

Cites Work

• Degree of approximation by monotone polynomials. I
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