Abstract
The problem of a family functions representable as the difference of two lower semicontinuous strong Światkowski functions is discussed. Particularly, we suggest how to characterize such systems.
This work was partly supported by the Slovak Grant Agency under the project No. 1/0853/13
References
[1] Kempisty, S.: Sur les functions quasicontinues, Fund. Math. 19 (1932), 184–197.10.4064/fm-19-1-184-197Search in Google Scholar
[2] Maliszewski, A.: Darboux Property and Quasi-continuity: A Uniform Approach, Wydaw. Uczelniane WSP, 1996.Search in Google Scholar
[3] Maliszewski, A.: On the differences of upper semicontinuous quasi-continuous functions, Math. Slovaca 48 (1998), 245–252.Search in Google Scholar
[4] Maliszewski, A.: On the sums of Darboux upper semicontinuous quasi-continuous functions, Real Anal. Exchange 20 (1994/95), 244–249.10.2307/44152485Search in Google Scholar
[5] Menkyna, R.: On the sums of lower semicontinuous strong Światkowski functions, Real Anal. Exchange 39 (2013/2014), 15–32.10.14321/realanalexch.39.1.0015Search in Google Scholar
[6] Menkyna, R.: On representations of Baire one functions as the sum of lower and upper semicontinuous functions, Real Anal. Exchange 38 (2012/2013), 169–176.10.14321/realanalexch.38.1.0169Search in Google Scholar
[7] Szczuka, P.: Maximums of strong Światkowski functions, Math. Slovaca 52 (2002), 541–548.10.2478/s12175-012-0023-zSearch in Google Scholar
© 2017 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- State hoops
- On derivations of partially ordered sets
- Interior and closure operators on commutative basic algebras
- When is the cayley graph of a semigroup isomorphic to the cayley graph of a group
- Sequences of cantor type and their expressibility
- δ-Fibonacci and δ-lucas numbers, δ-fibonacci and δ-lucas polynomials
- Law of inertia for the factorization of cubic polynomials – the case of primes 2 and 3
- Closed hereditary coreflective subcategories in epireflective subcategories of Top
- Method of upper and lower solutions for coupled system of nonlinear fractional integro-differential equations with advanced arguments
- Difference of two strong Światkowski lower semicontinuous functions
- Fejér-type inequalities (II)
- Representation of maxitive measures: An overview
- On a conjecture of Y. H. Cao and X. B. Zhang
- On the generalized orthogonal stability of the pexiderized quadratic functional equations in modular spaces
- Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups
- Homological properties of banach modules over abstract segal algebras
- Variable Hajłasz-Sobolev spaces on compact metric spaces
- Commuting pairs of self-adjoint elements in C*-algebras
- Additivity of maps preserving products AP ± PA* on C*-algebras
- A note on derived connections from semi-symmetric metric connections
- Lindelöf P-spaces need not be Sokolov
- Strong convergence properties for arrays of rowwise negatively orthant dependent random variables
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- Congruence pairs of principal p-algebras