The best one-sided approximations of the class of differentiable functions by algebraic polynomials in $L_1$ space

Researches in Mathematics ◽

10.15421/241216 ◽

2012 ◽

Vol 20 ◽

pp. 118

Author(s):

V.P. Motornyi ◽

V.V. Sedunova

Keyword(s):

Algebraic Polynomials ◽

Approximation Of Functions ◽

Differentiable Functions

The asymptotic meaning of the best one-sided approximation of functions from the class $W^1_{\infty}$ by algebraic polynomials of degree not greater than $n$ in $L_1$ space is calculated here.

Certain sharp inequalities for differentiable functions and estimation of approximation of functions and their derivatives by cubic interpolation splines

Siberian Mathematical Journal ◽

10.1007/bf00969599 ◽

1984 ◽

Vol 24 (5) ◽

pp. 723-735 ◽

Cited By ~ 1

Author(s):

N. P. Korneichuk

Keyword(s):

Approximation Of Functions ◽

Differentiable Functions

Approximation of functions by algebraic polynomials in the metric Lp for 0

Mathematical Notes ◽

10.1007/bf01141619 ◽

1981 ◽

Vol 30 (3) ◽

pp. 649-655

Author(s):

L. B. Khodak

Keyword(s):

Algebraic Polynomials ◽

Approximation Of Functions

Best uniform approximation of differentiable functions by algebraic polynomials

Mathematical Notes ◽

10.1007/bf01140165 ◽

1980 ◽

Vol 27 (3) ◽

pp. 190-195

Author(s):

V. A. Kofanov

Keyword(s):

Uniform Approximation ◽

Algebraic Polynomials ◽

Best Uniform Approximation ◽

Differentiable Functions

Approximation of functions from the Lipschitz class by algebraic polynomials

Mathematical Notes ◽

10.1007/bf01343540 ◽

1981 ◽

Vol 29 (4) ◽

pp. 306-309 ◽

Cited By ~ 1

Author(s):

V. N. Temlyakov

Keyword(s):

Lipschitz Class ◽

Algebraic Polynomials ◽

Approximation Of Functions

On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment

Ukrainian Mathematical Journal ◽

10.1007/s11253-009-0129-9 ◽

2008 ◽

Vol 60 (8) ◽

pp. 1270-1284

Author(s):

V. P. Motornyi

Keyword(s):

Algebraic Polynomials ◽

Approximation Of Functions

Sharp inequalities of Jackson type in weighted space $L_{2;\rho}({\mathbb{R}}^2)$

Researches in Mathematics ◽

10.15421/241403 ◽

2014 ◽

Vol 22 ◽

pp. 17

Author(s):

S.B. Vakarchuk ◽

M.B. Vakarchuk

Keyword(s):

Best Approximation ◽

Weighted Space ◽

Jackson Type ◽

Algebraic Polynomials ◽

The Best Approximation ◽

Differentiable Functions ◽

Functions Of Two Variables

Sharp inequalities of Jackson type, connected with the best approximation by "angles" of algebraic polynomials have been obtained on the classes of differentiable functions of two variables in the metric of space $L_{2;\rho}({\mathbb{R}}^2)$ of the Chebyshev-Hermite weight.

Approximation of functions from Sobolev spaces by means of algebraic polynomials

Ukrainian Mathematical Journal ◽

10.1007/bf01056691 ◽

1992 ◽

Vol 44 (5) ◽

pp. 552-555

Author(s):

V. N. Konovalov

Keyword(s):

Sobolev Spaces ◽

Algebraic Polynomials ◽

Approximation Of Functions

THE APPROXIMATION OF FUNCTIONS BY ALGEBRAIC POLYNOMIALS

Mathematics of the USSR-Izvestiya ◽

10.1070/im1968v002n04abeh000662 ◽

1968 ◽

Vol 2 (4) ◽

pp. 735-743 ◽

Cited By ~ 6

Author(s):

Yu A Brudnyĭ

Keyword(s):

Algebraic Polynomials ◽

Approximation Of Functions

Approximation of differentiable functions by algebraic polynomials

Ukrainian Mathematical Journal ◽

10.1007/bf01089316 ◽

1979 ◽

Vol 30 (3) ◽

pp. 314-320

Author(s):

A. I. Polovina

Keyword(s):

Algebraic Polynomials ◽

Differentiable Functions

Two theorems on the approximation of functions by algebraic polynomials

Fourteen Papers on Series and Approximation - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/077/10 ◽

1968 ◽

pp. 163-178 ◽

Cited By ~ 8

Author(s):

S. A. Teljakovskiĭ

Keyword(s):

Algebraic Polynomials ◽

Approximation Of Functions