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7 papers · 1 filter
Quantitative Rellich Inequalities on Finsler-Hadamard Manifolds
Alexandru Kristály, Dušan Repovš
In this paper we are dealing with quantitative Rellich inequalities on Finsler-Hadamard manifolds where the remainder terms are expressed by means of the flag curvature. By explori…
Four-Pose Synthesis of Angle-Symmetric 6R Linkages
Gábor Hegedüs, Josef Schicho, Hans-Peter Schröcker
We use the recently introduced factorization theory of motion polynomials over the dual quaternions for the synthesis of closed kinematic loops with six revolute joints that visit…
Turán type inequalities for some Lommel functions of the first kind
Árpád Baricz, Stamatis Koumandos
In this paper certain Turán type inequalities for some Lommel functions of the first kind are deduced. The key tools in our proofs are the infinite product representation for these…
Sharp comparison and maximum principles via horizontal normal mapping in the Heisenberg group
Zoltán M. Balogh, Andrea Calogero, Alexandru Kristály
In this paper we solve a problem raised by Gutiérrez and Montanari about comparison principles for convex functions on subdomains of Heisenberg groups. Our approach is based on…
Turán type inequalities for generalized inverse trigonometric functions
Árpád Baricz, Barkat Ali Bhayo, Matti Vuorinen
In this paper we study the inverse of the eigenfunction of the one-dimensional -Laplace operator and its dependence on the parameter , and we present a Turán type in…
The radius of convexity of normalized Bessel functions of the first kind
Árpád Baricz, Róbert Szász
In this paper we determine the radius of convexity for three kind of normalized Bessel functions of the first kind. In the mentioned cases the normalized Bessel functions are starl…