A1 Refereed original research article in a scientific journal
On exterior moduli of quadrilaterals and special functions
Authors: Vuorinen M, Zhang XH
Publisher: SPRINGER BASEL AG
Publication year: 2013
Journal: Journal of Fixed Point Theory and Applications
Journal name in source: JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
Journal acronym: J FIX POINT THEORY A
Number in series: 1
Volume: 13
Issue: 1
First page : 215
Last page: 230
Number of pages: 16
ISSN: 1661-7738
DOI: https://doi.org/10.1007/s11784-013-0115-6
Abstract
In this paper, two identities involving a function defined by the complete elliptic integrals of the first and second kinds are proved. Some functional inequalities and elementary estimates for this function are also derived from the properties of monotonicity and convexity of this function. As applications, some functional inequalities and the growth of the exterior modulus of a rectangle are studied.
In this paper, two identities involving a function defined by the complete elliptic integrals of the first and second kinds are proved. Some functional inequalities and elementary estimates for this function are also derived from the properties of monotonicity and convexity of this function. As applications, some functional inequalities and the growth of the exterior modulus of a rectangle are studied.
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