Quantitative approximation by fractional generalized discrete singular operators

DOI10.1007/S00025-014-0412-4zbMath1316.26026OpenAlexW51212802MaRDI QIDQ2348381

George A. Anastassiou, Merve Kester

Publication date: 12 June 2015

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0412-4

zbMATH Keywords

modulus of smoothnessCaputo fractional derivativefractional approximationdiscrete fractional singular operatorsfractional asymptotic expansion

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Rate of convergence, degree of approximation (41A25)

Cites Work

• Complete asymptotic expansion for generalized Favard operators
• Statistical approximation by double Poisson-Cauchy singular integral operators
• Sur le multiplicateurs d'interpolation
• Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
• APPROXIMATION BY DISCRETE SINGULAR OPERATORS
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