Some properties of the generalized Jacobian elliptic functions III

ABSTRACT

Generalized Jacobian elliptic functions play an important role in study of some bifurcation problems involving one-dimensional p-Laplacian. This paper deals with concavity and monotonicity of those functions. Also, inequalities involving functions discussion are established. In particular, Wilker-type and Van der Corput inequalities are derived.

KEYWORDS:

• Generalized Jacobian elliptic functions
• concavity
• logarithmic concavity
• multiplicative concavity
• inequalities
• Wilker-type and Van der Corput inequalities
• R-hypergeometric functions

AMS SUBJECT CLASSIFICATION:

• 33E05
• 26D07
• 26A51
• 26A48

Disclosure statement

No potential conflict of interest was reported by the author.