On One Application of Infinite Systems of Functional Equations in Function Theory

DOI10.2478/TMMP-2019-0024zbMath1498.39030arXiv1602.00493OpenAlexW3099839866MaRDI QIDQ5142414

Symon Serbenyuk

Publication date: 30 December 2020

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00493

zbMATH Keywords

distribution functionsystems of functional equationsnowhere differentiable functionsLebesgue integralsingular functionsnowhere monotone functionQ-representationfunction with complicated local structurenega- Q-representation

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Systems of functional equations and inequalities (39B72)

Related Items (6)

Systems of functional equations and generalizations of certain functions ⋮ A certain modification of classical singular function ⋮ On certain maps defined by infinite sums ⋮ Generalizations of certain representations of real numbers ⋮ Certain singular distributions and fractals ⋮ Some fractal properties of sets having the Moran structure

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