On convolution operators with kernels of finite oscillations

DOI10.1007/BF01896773zbMath0329.41017MaRDI QIDQ4095328

József Szabados

Publication date: 1976

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Convolution, factorization for one variable harmonic analysis (42A85) Approximation by operators (in particular, by integral operators) (41A35) Saturation in approximation theory (41A40)

Related Items (7)

Summation methods for Fourier series yielding best order of approximation ⋮ Central factorial numbers; their main properties and some applications. ⋮ On conditions for and the order of approximation of functions by operators of class \(S_{2m}\) ⋮ Kernels of finite oscillations and convolution integrals ⋮ Approximation by linear combinations of positive convolution integrals ⋮ Approximation by Boolean sums of positive linear operators. VII: Fejér-Korovkin kernels of higher order ⋮ Certain summation methods for Fourier series giving the best order of approximation

Cites Work

• The approximation of continuous functions by positive linear operators
• Approximation with kernels of finite oscillations. II: Degree of approximation

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