On the monotonicity of the sequence formed by the first order derivatives of the Bernstein polynomials

DOI10.1007/BF01116567zbMath0169.07401MaRDI QIDQ2531089

D. D. Stancu

Publication date: 1967

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170731

zbMATH Keywords

approximation and series expansion

Related Items (6)

On a new positive linear polynomial operator ⋮ Uniform and pointwise quantitative approximation by Kantorovich-Choquet type integral operators with respect to monotone and submodular set functions ⋮ Application of divided differences to the study of monotonicity of the derivatives of the sequence of Bernstein polynomials ⋮ On the monotonicity property for the sequence of classical Bernstein operators ⋮ Generalized Bernstein polynomials for discontinuous and convex functions ⋮ On the degeneracy property of some linear positive operators

Cites Work

• Stieltjes integral representation of convex functions
• The Remainder of Certain Linear Approximation Formulas in Two Variables
• Unnamed Item

This page was built for publication: On the monotonicity of the sequence formed by the first order derivatives of the Bernstein polynomials