Local generalizations of the derivatives on the real line

DOI10.1016/j.cnsns.2020.105576zbMath1467.26002OpenAlexW3121551479MaRDI QIDQ2656016

Dimiter Prodanov

Publication date: 10 March 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105576

zbMATH Keywords

Lipschitz conditionmoduli of continuityHölder classesnon-differentiable functions

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) Singular functions, Cantor functions, functions with other special properties (26A30) Fractional derivatives and integrals (26A33) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Cites Work

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• CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION
• Fractional differentiability of nowhere differentiable functions and dimensions
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• About non-differentiable functions

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