Comonotone Jackson's inequality

DOI10.1006/jath.1999.3327zbMath0976.41016OpenAlexW2046427226MaRDI QIDQ1305506

M. G. Pleshakov

Publication date: 8 January 2002

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3327

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25)

Related Items (11)

Copositive approximation of periodic functions ⋮ Comonotone approximation by hybrid polynomials ⋮ Coconvex approximation of periodic functions ⋮ Stechkin-type estimate for nearly copositive approximations of periodic functions ⋮ Comonotone approximation of periodic functions ⋮ Comonotone approximation of periodic functions ⋮ Comonotone approximation of periodic functions ⋮ Negative results in coconvex approximation of periodic functions ⋮ Almost coconvex approximation of continuous periodic functions ⋮ Coconvex approximation by hybrid polynomials ⋮ No Jackson-type estimates for piecewise \(q\)-monotone, \(q \geq 3,\) trigonometric approximation

Cites Work

• Monotone and comonotone polynomial approximation revisited
• Pointwise estimates for monotone polynomial approximation
• On the theory of approximation of functions on closed sets of the complex plane (with reference to a problem of S. M. Nikol'skii)
• Piecewise monotone pointwise approximation
• Comonotone polynomial approximation in \(L_p[-1,1, 0<p\leq\infty\)]
• Convex polynomial and spline approximation in \(C[-1,1\)]
• Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials
• Some positive results and counterexamples in comonotone approximation
• Degree of approximation by monotone polynomials. I
• APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
• A remark concerning the modulus of smoothness introduced by Ditzian and Totik
• Comonotone approximation of periodic functions
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