A Kuczma-type functional inequality for error and complementary error functions

Verfasser / Beitragende:
[Horst Alzer]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/3(2015-06-01), 927-935
Format:
Artikel (online)
ID: 605508496
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024 7 0 |a 10.1007/s00010-014-0289-z  |2 doi 
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100 1 |a Alzer  |D Horst  |u Morsbacher Str. 10, 51545, Waldbröl, Germany  |4 aut 
245 1 2 |a A Kuczma-type functional inequality for error and complementary error functions  |h [Elektronische Daten]  |c [Horst Alzer] 
520 3 |a 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
540 |a Springer Basel, 2014 
690 7 |a Error functions  |2 nationallicence 
690 7 |a Kuczma-type functional inequality  |2 nationallicence 
773 0 |t Aequationes mathematicae  |d Springer Basel  |g 89/3(2015-06-01), 927-935  |x 0001-9054  |q 89:3<927  |1 2015  |2 89  |o 10 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Alzer  |D Horst  |u Morsbacher Str. 10, 51545, Waldbröl, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Aequationes mathematicae  |d Springer Basel  |g 89/3(2015-06-01), 927-935  |x 0001-9054  |q 89:3<927  |1 2015  |2 89  |o 10