Exact estimates of the rate of approximation of convolution operators

DOI10.1016/j.jat.2009.10.003zbMath1194.41025OpenAlexW2089858045MaRDI QIDQ976199

Borislav R. Draganov

Publication date: 17 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.jat.2009.10.003

zbMATH Keywords

rate of convergencesingular integralFourier seriesK-functionalConvolution operatorsTrigonometric polynomial

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Rate of convergence, degree of approximation (41A25)

Related Items (8)

Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers ⋮ A new sufficient condition for belonging to the algebra of absolutely convergent Fourier integrals and its application to the problems of summability of double Fourier series ⋮ On generalized \(K\)-functionals in \(L_p\) for \(0<p<1\) ⋮ Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series ⋮ On the nonclassical approximation method for periodic functions by trigonometric polynomials ⋮ Approximative properties of the summation methods of Fourier integrals ⋮ Differential calculus for linear operators represented by finite signed measures and applications ⋮ On various moduli of smoothness and \(K\)-functionals

Cites Work

• Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory
• On summation processes of Fourier expansions in Banach spaces. III: Jackson- and Zamansky-type inequalities for Abel-bounded expansions
• The lower estimate for linear positive operators. I
• A strong converse inequality for gamma-type operators
• Topics in approximation theory
• On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems
• Equivalence of a 𝐾-functional with the approximation behavior of some linear means for abstract Fourier series
• Approximation by Bernstein Polynomials
• Some Tauberian theorems with applications to approximation theory
• LINEAR SUMMATION METHODS AND THE ABSOLUTE CONVERGENCE OF FOURIER SERIES
• Strong converse inequalities
• Lower estimates for centered Bernstein-type operators
• Strong converse inequalities
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