APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
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Publication:4031201
DOI10.1070/SM1993v076n01ABEH003401zbMath0782.41013OpenAlexW2084050864MaRDI QIDQ4031201
Publication date: 1 April 1993
Published in: Russian Academy of Sciences. Sbornik Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1993v076n01abeh003401
Related Items (28)
Coconvex polynomial approximation ⋮ Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials ⋮ Uniform estimates for monotone approximation ⋮ Some positive results and counterexamples in comonotone approximation ⋮ On copositive approximation by algebraic polynomials ⋮ Shape preserving approximations by polynomials and splines ⋮ Fast and flexible methods for monotone polynomial fitting ⋮ On some extremal problems of approximation theory of functions on the real axis. II ⋮ Simultaneous approximation by algebraic polynomials ⋮ On uniform monotone approximation of continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ Interpolatory pointwise estimates for monotone polynomial approximation ⋮ Best mean-square approximation of functions defined on the real axis by entire functions of exponential type ⋮ On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ Polynomial approximations of continuous functions with unbounded sign-sensitive weight ⋮ On the polynomial approximation of a conformal mapping of a domain with nonzero corner ⋮ On 3-monotone approximation by piecewise polynomials ⋮ Polynomial approximation of analytic functions on a finite number of continua in the complex plane ⋮ Comonotone approximation with interpolation at the ends on an interval ⋮ Nearly comonotone approximation ⋮ Pointwise estimation of comonotone approximation ⋮ On equivalence of moduli of smoothness ⋮ Shape-preserving approximation by polynomials ⋮ Constructive theory of analytic functions on a quasidisk ⋮ Comonotone Jackson's inequality ⋮ Interpolated estimate for copositive approximations by algebraic polynomials ⋮ Uniform estimates for polynomial approximation in domains with corners ⋮ Simultaneous approximation and interpolation of functions on continua in the complex plane. ⋮ Coconvex approximation.
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