Schur Geometric Convexity for Ratio of Difference of Means
V. Lokesha *
Department of Mathematics Vijayanagara Sri Krishnadevaraya University, Bellary Karnataka, India.
B. Naveen Kumar
Department of Mathematics, Government PU College, Bheriya Mysore, India.
K. M. Nagaraja
Department of Mathematics, JSS Academy of Technical Education Bangalore Karnataka, India.
S. Padmanabhan
Department of Mathematics, RNSIT, Bangalore Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we study the Schur geometric convexity (concavity) of the ratio of difference of means. Also established some inter related mean inequalities related to the ratio of difference of means.
Keywords: Schur convexity, schur harmonic convexity, ratio of difference of means, inequality