On the best approximation by “angles” in the mean on the plane $\mathbb{R}^2$ with the Chebyshev-Hermite weight.

Authors

  • S. B. Vakarchuk Dnepropetrovsk Alfred Nobel University
  • A. V. Shvachko Dnipropetrovsk State Agrarian and Economic University

Abstract

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

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Published

2014-06-24

How to Cite

Vakarchuk, S. B., & Shvachko, A. V. (2014). On the best approximation by “angles” in the mean on the plane $\mathbb{R}^2$ with the Chebyshev-Hermite weight. Transactions of Institute of Mathematics, the NAS of Ukraine, 11(3), 35–46. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/65

Issue

Vol. 11 No. 3 (2014): Approximation Theory of Functions and Related Problems

Section

Research papers