Concavity with respect to Hölder means involving the generalized Grötzsch function

DOI10.1016/j.jmaa.2010.12.055zbMath1218.30067OpenAlexW2013917203MaRDI QIDQ2431217

Xiao-Hui Zhang, Yue Ping Jiang, Gen-Di Wang

Publication date: 11 April 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.12.055

zbMATH Keywords

concavitygeneralized Grötzsch functionHölder means

Mathematics Subject Classification ID

Geometric function theory (30C99)

Related Items

Generalized Grotzsch ring function and generalized elliptic integrals, Inequalities and infinite product formula for Ramanujan generalized modular equation function, Sharp Landen transformation inequalities for hypergeometric functions, with applications, Topics in Special Functions III, On exterior moduli of quadrilaterals and special functions, On the generalized modulus, Transformation properties of hypergeometric functions and their applications, Inequalities for the generalized elliptic integrals with respect to Hölder means, Concavity of the complete elliptic integrals of the second kind with respect to Hölder means, Extensions of quadratic transformation identities for hypergeometric functions, A power mean inequality involving the complete elliptic integrals, Landen inequalities for a class of hypergeometric functions with applications, Monotonicity properties and inequalities related to generalized Grötzsch ring functions, Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean, Precise estimates for the solution of Ramanujan's generalized modular equation

Uses Software

• DLMF

Cites Work

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