caa a22 4500 605508496 CHVBK 20210128100637.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00010-014-0289-z doi (NATIONALLICENCE)springer-10.1007/s00010-014-0289-z Alzer Horst Morsbacher Str. 10, 51545, Waldbröl, Germany aut A Kuczma-type functional inequality for error and complementary error functions [Elektronische Daten] [Horst Alzer] We prove that the functional inequality $$x + {\rm erf} \bigl(y + {\rm erf}_c(x)\bigr) < y + {\rm erf} \bigl(x + {\rm erf}_c(y)\bigr)$$ x + erf ( y + erf c ( x ) ) < y + erf ( x + erf c ( y ) ) is valid for all real numbers x and y with 0≤ x<y. Here, erf and erf c denote the error and the complementary error functions, respectively. Springer Basel, 2014 Error functions nationallicence Kuczma-type functional inequality nationallicence Aequationes mathematicae Springer Basel 89/3(2015-06-01), 927-935 0001-9054 89:3<927 2015 89 10 https://doi.org/10.1007/s00010-014-0289-z 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/s00010-014-0289-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Alzer Horst Morsbacher Str. 10, 51545, Waldbröl, Germany aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer Basel 89/3(2015-06-01), 927-935 0001-9054 89:3<927 2015 89 10