caa a22 4500 606200908 CHVBK 20210128100945.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s00025-015-0436-4 doi (NATIONALLICENCE)springer-10.1007/s00025-015-0436-4 Olko Jolanta Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland aut Inclusions Characterizing Polynomial-Type Multifunctions [Elektronische Daten] [Jolanta Olko] This work is motivated by some earlier papers concerning a pair of functional inequalities characterizing polynomials. This system is also related to the notion of microperiodic function. We study multifunctions satisfying two simultaneous conditional functional inclusions. An explicit formula for the solution to this system of inclusions is given. Applying this result we obtain its counterpart for single-valued functions, and moreover we get a characterization of real polynomial-type measurable multifunctions. Some properties of measurable microperiodic multifunctions are also given. The Author(s), 2015 Functional inequality nationallicence functional inclusion nationallicence microperiodic multifunction nationallicence polynomial function nationallicence Results in Mathematics Springer Basel 68/3-4(2015-11-01), 331-343 1422-6383 68:3-4<331 2015 68 25 https://doi.org/10.1007/s00025-015-0436-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00025-015-0436-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Olko Jolanta Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland aut NATIONALLICENCE 773 0- Results in Mathematics Springer Basel 68/3-4(2015-11-01), 331-343 1422-6383 68:3-4<331 2015 68 25