Approximation in certain intermediate spaces

DOI10.1016/0021-9045(90)90049-VzbMath0706.42003OpenAlexW1987870471MaRDI QIDQ919215

Hrushikesh N. Mhaskar

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90049-v

zbMATH Keywords

Lagrange interpolationJacobi polynomialsK-functionalJacobi weightHermite-Fejer interpolation

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

• On the rate of convergence of the Szász-Mirakyan operator for functions of bounded variation
• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• The convergence of Fourier series and a K-functional
• Estimating functions by partial sums of their Fourier series
• An estimate of the rate of convergence of the triangular matrix means of the Fourier series of functions of bounded variation
• Concepts of generalized bounded variation and the theory of Fourier series
• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• A class of orthogonal polynomials
• An estimate for the rate of convergence of the eigenfunction expansions of functions of bounded variation
• On the Classes ΛBV and V [ ν]
• A Quantitative Dirichlet–Jordan Type Theorem for Orthogonal Polynomial Expansions
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