@article{MTMT:1416258, title = {Convexity of the zero-balanced Gaussian hypergeometric functions with respect to Hölder means}, url = {https://m2.mtmt.hu/api/publication/1416258}, author = {Baricz, Árpád}, journal-iso = {J INEQUAL PURE APPL MATH}, journal = {JOURNAL OF INEQUALITIES IN PURE AND APPLIED MATHEMATICS}, volume = {8}, unique-id = {1416258}, issn = {1443-5756}, abstract = {In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.}, year = {2007}, pages = {1-9} } @article{MTMT:1353027, title = {Functional inequalities involving special functions. II.}, url = {https://m2.mtmt.hu/api/publication/1353027}, author = {Baricz, Árpád}, doi = {10.1016/j.jmaa.2006.05.006}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {327}, unique-id = {1353027}, issn = {0022-247X}, abstract = {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.}, year = {2007}, eissn = {1096-0813}, pages = {1202-1213} }