Boundedness of Lebesgue Constants and Interpolating Faber Bases
Copyright policy )Boundedness of Lebesgue Constants and Interpolating Faber Bases
We investigate some conditions under which the Lebesgue constants or Lebesgue functions are bounded for the classical Lagrange polynomial interpolation on a compact subset of $\mathbb R$. In particular, relationships of such boundedness with uniform and pointwise convergence of Lagrange polynomials and with the existence of interpolating Faber bases are discussed.
17 pages
функция Лебега, поліноміальна інтерполяція Лагранжа, Science, Константа Лебега; Функция Лебега; Полиномиальная интерполяция Лагранжа; Базис Фабера, TP1-1185, константа Лебега, Теоретические и прикладные проблемы математики, Теоретичні та прикладні аспекти математики, Lebesgue function, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Faber basis, Lebesgue constant; Lebesgue function; Lagrange polynomial interpolation; Faber basis, базис Фабера, Chemical technology, Q, Lebesgue constant, функція Лебега, Lagrange polynomial interpolation, Mathematics - Classical Analysis and ODEs, Theoretical and applied problems of mathematics, Константа Лебега; Функція Лебега; Поліноміальна інтерполяція Лагранжа; Базис Фабера, полиномиальная интерполяция Лагранжа
функция Лебега, поліноміальна інтерполяція Лагранжа, Science, Константа Лебега; Функция Лебега; Полиномиальная интерполяция Лагранжа; Базис Фабера, TP1-1185, константа Лебега, Теоретические и прикладные проблемы математики, Теоретичні та прикладні аспекти математики, Lebesgue function, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Faber basis, Lebesgue constant; Lebesgue function; Lagrange polynomial interpolation; Faber basis, базис Фабера, Chemical technology, Q, Lebesgue constant, функція Лебега, Lagrange polynomial interpolation, Mathematics - Classical Analysis and ODEs, Theoretical and applied problems of mathematics, Константа Лебега; Функція Лебега; Поліноміальна інтерполяція Лагранжа; Базис Фабера, полиномиальная интерполяция Лагранжа
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