Work

Equivalence between various Shape Preserving Approximations of periodic functions

Year: 2025

Type: article

Abstract: We show that the validity of Jackson-type estimates in comonotone and coconvex approximations of continuous $2\pi$-periodic functions by trigonometric polynomials is equivalent to the validity of the corresponding estimates of approximation by continuous $2\pi$-periodic piecewise algebraic polynomials with equidistant knots, having a minor additional property.

Source: Researches in Mathematics

DOI: 10.15421/242518

Authors: D. Leviatan, O.V. Motorna, I.O. Shevchuk

Institutions: Tel Aviv University, Taras Shevchenko National University of Kyiv

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $20

OpenAlex ID: W4417324146

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