TY - JOUR AU - Xia, Fang-Li AU - Qian, Wei-Mao AU - Chen, Shu-Bo AU - Chu, Yu-Ming PY - 2016 TI - Sharp bounds for Neuman means with applications JO - Journal of Nonlinear Sciences and Applications SP - 2031--2038 VL - 9 IS - 5 AB - In the article, we present the sharp bounds for the Neuman mean NAG(a; b), \(N_{GA}(a; b), N_{QA}(a; b)\) and \(N_{AQ}(a; b)\) in terms of the convex combinations of the arithmetic and one-parameter harmonic and contraharmonic means. As applications, we find several sharp inequalities for the first Seiffert, second Seiffert, Neuman-Sándor and logarithmic means. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.05.09 DO - 10.22436/jnsa.009.05.09 ID - Xia2016 ER - TY - JOUR TI - Generalized elliptic integrals and modular equations AU - G. D. Anderson AU - S. L. Qiu AU - M. K. Vamanamurthy AU - M. Vuorinen JO - Pacific J. Math. PY - 2000 DA - 2000// VL - 192 ID - Anderson2000 ER - TY - JOUR TI - On the monotonity of certain functionals in the theory of analytic functions AU - M. Biernacki AU - J. Krzyz JO - Ann. Univ. Mariae Curie-Sklodowska. Sect. A PY - 1955 DA - 1955// VL - 9 ID - Biernacki1955 ER - TY - JOUR TI - A one-parameter family of bivariate means AU - E. Neuman JO - J. Math. Inequal. PY - 2013 DA - 2013// VL - 7 ID - Neuman2013 ER - TY - JOUR TI - Optimal bounds for certain bivariate means AU - E. Neuman JO - Probl. Anal. Issues Anal. PY - 2014 DA - 2014// VL - 3 ID - Neuman2014 ER - TY - JOUR TI - On a new bivariate mean AU - E. Neuman JO - Aequationes Math. PY - 2014 DA - 2014// VL - 88 ID - Neuman2014 ER - TY - JOUR TI - On the Schwab-Borchardt mean AU - E. Neuman AU - J. Sándor JO - Math. Pannon. PY - 2003 DA - 2003// VL - 14 ID - Neuman2003 ER - TY - JOUR TI - On the Schwab-Borchardt mean II AU - E. Neuman AU - J. Sándor JO - Math. Pannon. PY - 2006 DA - 2006// VL - 17 ID - Neuman2006 ER - TY - BOOK TI - Problems and Theorems in Analysis I AU - G. Pólya AU - G. Szegő PB - Springer-Verlag PY - 1998 DA - 1998// CY - Berlin ID - Pólya1998 ER - TY - JOUR TI - Sharp inequalities involving Neuman means of the second kind AU - W. M. Qian AU - Z. H. Shao AU - Y. M. Chu JO - J. Math. Inequal. PY - 2015 DA - 2015// VL - 9 ID - Qian2015 ER - TY - JOUR TI - Sharp geometric mean bounds for Neuman means AU - Y. Zhang AU - Y. M. Chu AU - Y. L. Jiang JO - Abstr. Appl. Anal. PY - 2014 DA - 2014// VL - 2014 ID - Zhang2014 ER -