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2012•Theory and Applications of Mathematics & Computer ScienceOpen access

Refined Estimates for the Equivalence Between Ditzian-Totik Moduli of Smoothness and K-Functionals

Gancho T. Tachev

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Abstract

The aim of this note is to study the magnitude of the constants in the equivalence between the first and secondorder Ditzian-Totik moduli of smoothness and related K-functionals. Applications to some classic approximationoperators are given.

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The aim of this note is to study the magnitude of the constants in the equivalence between the first and secondorder Ditzian-Totik moduli of smoothness and related K-functionals. Applications to some classic approximationoperators are given.

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Available abstract

The aim of this note is to study the magnitude of the constants in the equivalence between the first and secondorder Ditzian-Totik moduli of smoothness and related K-functionals. Applications to some classic approximationoperators are given.

Key concepts: Mathematics, Moduli, Equivalence (formal languages), Smoothness, Pure mathematics, Mathematical analysis, Physics, Quantum mechanics

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