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Dimensions of graphs of functions and lacunary decompositions of spline approximations

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Publication:1852350
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zbMath1016.28007MaRDI QIDQ1852350

Peter Wingren

Publication date: 5 January 2003

Published in: Real Analysis Exchange (Search for Journal in Brave)


zbMATH Keywords

decompositionHausdorff dimensionpacking dimensioncontinuous functiongraph of continuous function


Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Fractals (28A80) Spline approximation (41A15) Hausdorff and packing measures (28A78)


Related Items (5)

On the graphs of products of continuous functions and fractal dimensions ⋮ FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS ⋮ Fractal dimension for a class of complex-valued fractal interpolation functions ⋮ Graphs of continuous functions and packing dimension ⋮ ON THE DECOMPOSITION OF CONTINUOUS FUNCTIONS AND DIMENSIONS







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