A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
On exterior moduli of quadrilaterals and special functions
Tekijät: Vuorinen M, Zhang XH
Kustantaja: SPRINGER BASEL AG
Julkaisuvuosi: 2013
Journal: Journal of Fixed Point Theory and Applications
Tietokannassa oleva lehden nimi: JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
Lehden akronyymi: J FIX POINT THEORY A
Numero sarjassa: 1
Vuosikerta: 13
Numero: 1
Aloitussivu: 215
Lopetussivu: 230
Sivujen määrä: 16
ISSN: 1661-7738
DOI: https://doi.org/10.1007/s11784-013-0115-6
Tiivistelmä
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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