Exact estimates of the rate of approximation of convolution operators
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Publication:976199
DOI10.1016/j.jat.2009.10.003zbMath1194.41025OpenAlexW2089858045MaRDI QIDQ976199
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
rate of convergencesingular integralFourier seriesK-functionalConvolution operatorsTrigonometric polynomial
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Rate of convergence, degree of approximation (41A25)
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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
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