Takagi function revisited
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Łukasz Sadowski
Abstract
Starting with some equations that characterize the Takagi function in the class of bounded functions, we come naturally to a family of functional equations and extend two classical results by H.-H. Kairies to that family.
References
[1] H.-H. Kairies, Takagi’s function and its functional equations, Rocz. Nauk.-Dydakt. Pr. Mat. 15 (1998), 73–83. Suche in Google Scholar
[2] H.-H. Kairies, W. F. Darsow and M. J. Frank, Functional equations for a function of van der Waerden type, Rad. Mat. 4 (1988), 361–374; Errata, Rad. Mat. 5 (1989), 179-180. Suche in Google Scholar
[3] P. Kannappan, Functional Equations and Inequalities with Applications, Springer, New York, 2009. 10.1007/978-0-387-89492-8Suche in Google Scholar
[4] Ł. Sadowski, New characterizations of the Takagi function via functional equations, Aequationes Math. (2017), 10.1007/s00010-017-0501-z. 10.1007/s00010-017-0501-zSuche in Google Scholar
© 2017 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Dynamics of typical Baire-1 functions on the interval
- On the generalized quotient integrals on homogeneous spaces
- An integral expression for the Dunkl kernel in the dihedral setting
- Takagi function revisited
- On the stability of steady-states of a two-dimensional system of ferromagnetic nanowires
- Pexider type equation on a region
- Anti-periodic solutions for a higher order difference equation with p-Laplacian
- Portfolio immunization under cone restrictions
- The Lagrange multiplier and the stationary Stokes equations
- Numerical methods for solving the first-kind boundary value problem for a linear second-order differential equation with a deviating argument
Artikel in diesem Heft
- Frontmatter
- Dynamics of typical Baire-1 functions on the interval
- On the generalized quotient integrals on homogeneous spaces
- An integral expression for the Dunkl kernel in the dihedral setting
- Takagi function revisited
- On the stability of steady-states of a two-dimensional system of ferromagnetic nanowires
- Pexider type equation on a region
- Anti-periodic solutions for a higher order difference equation with p-Laplacian
- Portfolio immunization under cone restrictions
- The Lagrange multiplier and the stationary Stokes equations
- Numerical methods for solving the first-kind boundary value problem for a linear second-order differential equation with a deviating argument
