Local variability of non-smooth functions

DOI10.1016/j.na.2008.03.035zbMath1181.26010OpenAlexW2083421965MaRDI QIDQ1006685

M. A. Navascués

Publication date: 25 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.035

zbMATH Keywords

Taylor's formulaseries expansionsnon-differentiabilityMüntz powers

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Real-valued functions in general topology (54C30) Polynomials, rational functions in real analysis (26C99) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (2)

Approximation by shape preserving fractal functions with variable scalings ⋮ Local approximation of functions with several variables

Cites Work

• Fractal polynomial interpolation
• Generalized power series on a non-Archimedean field
• Construction of exact partial solutions of nonintegrable systems by means of formal Laurent and Puiseux series
• Muntz Systems and Orthogonal Muntz-Legendre Polynomials
• A variant of frobeniu' method for the emden fowler equation
• Power Laws, Scale Invariance and the Generalized Frobenius Series: Applications to Newtonian and TOV Stars Near Criticality
• The Full Müntz Theorem in C [0, 1 and L ₁ [0, 1]]
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