Inequalities for 3-convex functions and applications

Authors : Praphull Chhabra

Pages : 1-12

Doi:10.54187/jnrs.978216

View : 14 | Download : 7

Publication Date : 2022-04-30

Article Type : Research

Abstract :In this article, we derived new information inequalities on Jain-Saraswat's functional coefficient of distance (2013) for 3-convex functions. Further, we evaluated some important relations among Relative Jensen Shannon coefficient of distance, Relative Arithmetic Geometric coefficient of distance, Triangular discrimination, Chi-square coefficient of distance and many more. Moreover, we explained the series version of this functional coefficient of distance by using the Taylor's series with both Lagrange's and Cauchy's form of remainders.
Keywords : Contra harmonic mean coefficient, Taylor, 3-Convex functions, Jain-Saraswat, Chi-m coefficients