On a quantitative theory of limits: estimating the speed of convergence

DOI10.1515/FCA-2020-0053zbMath1459.26003OpenAlexW3087532843MaRDI QIDQ2209192

Renato Spigler

Publication date: 28 October 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2020-0053

zbMATH Keywords

limitsfractional derivativesmodulus of continuityconvex functionsHölderCaputo derivativeLipschitzRiemann-Liouville derivative

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Fractional derivatives and integrals (26A33) Foundations: limits and generalizations, elementary topology of the line (26A03)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Taylor's formula
• Boundedness and convergence on fractional order systems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Calculus of the modulus of continuity for nonconcave functions and applications
• Long time stability in perturbations of completely resonant PDE's
• Erratum to: `The mean value theorems and a Nagumo-type uniqueness theorem for Caputo's fractional calculus
• Functions that have no first order derivative might have fractional derivatives of all orders less than one
• The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems
• Improved estimates for the derivatives of the \(O\)-symbols in view of numerical applications
• Behavior of Hamiltonian systems close to integrable

This page was built for publication: On a quantitative theory of limits: estimating the speed of convergence