25 research outputs found
Logarithmic mean inequality for generalized trigonometric and hyperbolic functions
In this paper we study the convexity and concavity properties of generalized
trigonometric and hyperbolic functions in case of Logarithmic mean.Comment:
Distortion properties of quasiconformal maps
In this Licentiate thesis we investigate the absolute ratio δ, j, ˜j and hyperbolic ρ metrics and their relations with each other. Various growth estimates are given
for quasiconformal mpas both in plane and space. Some Hölder constants were refined with respect δ, j ˜j metrics. Some new results regarding the Hölder continuity of quasiconformal and quasiregular mapping of unit ball with respect to Euclidean and hyperbolic metrics are given, which were obtained by many authors in 1980’s.
Applications are given to the study of metric space, quasiconformal and quasiregular maps in the plane and as well as in the space.Siirretty Doriast
On two new means of two arguments III
In this paper authors establish the two sided inequalities for the following
two new means As well as
many other well known inequalities involving the identric mean and the
logarithmic mean are refined from the literature as an application.Comment: 14. arXiv admin note: substantial text overlap with arXiv:1509.0197
On some inequalities for the identric, logarithmic and related means
We offer new proofs, refinements as well as new results related to classical
means of two variables, including the identric and logarithmic means.Comment: