Inequalities for 3-convex functions and applications

Year 2022, Volume: 11 Issue: 1, 1 - 12, 30.04.2022

Praphull Chhabra

https://doi.org/10.54187/jnrs.978216

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

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