TY - JOUR AU - Baricz, Árpád TI - Functional inequalities involving Bessel and modified Bessel functions of the first kind JF - EXPOSITIONES MATHEMATICAE J2 - EXPO MATH VL - 26 PY - 2008 IS - 3 EP - 279 SN - 0723-0869 DO - 10.1016/j.exmath.2008.01.001 UR - https://m2.mtmt.hu/api/publication/1353009 ID - 1353009 AB - In this paper, we extend some known elementary trigonometric inequalities, and their hyperbolic analogues to Bessel and modified Bessel functions of the first kind. In order to prove our main results, we present some monotonicity and convexity properties of some functions involving Bessel and modified Bessel functions of the first kind. We also deduce some Turán and Lazarević-type inequalities for the confluent hypergeometric functions. LA - English DB - MTMT ER - TY - JOUR AU - Baricz, Árpád TI - Geometric properties of generalized Bessel functions JF - PUBLICATIONES MATHEMATICAE DEBRECEN J2 - PUBL MATH DEBRECEN VL - 73 PY - 2008 IS - 1-2 SP - 155 EP - 178 PG - 24 SN - 0033-3883 UR - https://m2.mtmt.hu/api/publication/1353021 ID - 1353021 LA - English DB - MTMT ER - TY - JOUR AU - Baricz, Árpád TI - Some inequalities involving generalized Bessel functions JF - MATHEMATICAL INEQUALITIES & APPLICATIONS J2 - MATH INEQUAL APPL VL - 10 PY - 2007 IS - 4 SP - 827 EP - 842 PG - 16 SN - 1331-4343 UR - https://m2.mtmt.hu/api/publication/1353028 ID - 1353028 LA - English DB - MTMT ER - TY - JOUR AU - Baricz, Árpád TI - Functional inequalities involving special functions JF - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS J2 - J MATH ANAL APPL VL - 319 PY - 2006 IS - 2 SP - 450 EP - 459 PG - 10 SN - 0022-247X DO - 10.1016/j.jmaa.2005.06.052 UR - https://m2.mtmt.hu/api/publication/1353026 ID - 1353026 LA - English DB - MTMT ER - TY - JOUR AU - Baricz, Árpád AU - Neuman, Edward TI - Inequalities involving generalized Bessel functions JF - JOURNAL OF INEQUALITIES IN PURE AND APPLIED MATHEMATICS J2 - J INEQUAL PURE APPL MATH VL - 6 PY - 2005 IS - 4 SP - 1 EP - 9 PG - 9 SN - 1443-5756 UR - https://m2.mtmt.hu/api/publication/1415954 ID - 1415954 LA - English DB - MTMT ER -