TY  - JOUR
AU  - Baricz, Árpád
TI  - Convexity of the zero-balanced Gaussian hypergeometric functions with respect to Hölder means
JF  - JOURNAL OF INEQUALITIES IN PURE AND APPLIED MATHEMATICS
J2  - J INEQUAL PURE APPL MATH
VL  - 8
PY  - 2007
IS  - 2
SP  - 1
EP  - 9
PG  - 9
SN  - 1443-5756
UR  - https://m2.mtmt.hu/api/publication/1416258
ID  - 1416258
AB  - In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Baricz, Árpád
TI  - Functional inequalities involving special functions. II.
JF  - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
J2  - J MATH ANAL APPL
VL  - 327
PY  - 2007
IS  - 2
SP  - 1202
EP  - 1213
PG  - 12
SN  - 0022-247X
DO  - 10.1016/j.jmaa.2006.05.006
UR  - https://m2.mtmt.hu/api/publication/1353027
ID  - 1353027
AB  - This paper is motivated by an open problem of Anderson, Vamanamurthy, and Vuorinen. We prove a chain of inequalities for hypergeometric functions, generalized and normalized Bessel functions, Kummer functions and for some general power series. Some particular cases and refinements are given.
LA  - English
DB  - MTMT
ER  -