Best One-Sided Approximation in the Mean of the Characteristic Function of an Interval by Algebraic Polynomials

Author:

Deikalova M. V.,Torgashova A. Yu.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference13 articles.

1. R. Bojanic and R. DeVore, “On polynomials of best one-sided approximation,” Enseign. Math. 2 (12), 139–164 (1966).

2. V. I. Krylov, Approximate Calculation of Integrals (Fizmatgiz, Moscow, 1959; Dover, New York, 2006).

3. N. P. Korneichuk, A. A. Ligun, and V. G. Doronin, Constrauned Approximation (Naukova Dumka, Kiev, 1982) [in Russian].

4. J. Bustamante, J. M. Quesada, and R. Mart´inez-Cruz, “Best one-sided L1 approximation to the Heaviside and sign functions,” J. Approx. Theory 164, 791–802 (2012). doi 10.1016/j.jat.2012.02.006

5. X.-J. Li and J. D. Vaaler, “Some trigonometric extremal functions and the Erdös-Tur´an type inequalities,” Indiana Univ. Math. J. 48 (1), 183–236 (1999). doi 10.1512/iumj.1999.48.1508

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1. Optimal Hermite-Fejér interpolation of algebraic polynomials and the best one-sided approximation on the interval [−1,1];Journal of Mathematical Analysis and Applications;2024-08

2. Best one-sided approximation and optimal Hermite–Fejér interpolation on an infinite interval;International Journal of Wavelets, Multiresolution and Information Processing;2024-06-26

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