Inequalities for 3-convex functions and applications

Praphull Chhabra

doi:10.54187/jnrs.978216

EN

Inequalities for 3-convex functions and applications

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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Details

Primary Language

English

Subjects

Mathematical Sciences, Applied Mathematics

Journal Section

Research Article

Authors

Praphull Chhabra ^*
0000-0002-4173-0523
India

Publication Date

April 30, 2022

Submission Date

August 4, 2021

Acceptance Date

February 2, 2022

Published in Issue

Year 2022 Volume: 11 Number: 1

DOI

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

IZ

https://izlik.org/JA33EX59EC

APA

Chhabra, P. (2022). Inequalities for 3-convex functions and applications. Journal of New Results in Science, 11(1), 1-12. https://doi.org/10.54187/jnrs.978216

AMA

1.Chhabra P. Inequalities for 3-convex functions and applications. JNRS. 2022;11(1):1-12. doi:10.54187/jnrs.978216

Chicago

Chhabra, Praphull. 2022. “Inequalities for 3-Convex Functions and Applications”. Journal of New Results in Science 11 (1): 1-12. https://doi.org/10.54187/jnrs.978216.

EndNote

Chhabra P (April 1, 2022) Inequalities for 3-convex functions and applications. Journal of New Results in Science 11 1 1–12.

IEEE

[1]P. Chhabra, “Inequalities for 3-convex functions and applications”, JNRS, vol. 11, no. 1, pp. 1–12, Apr. 2022, doi: 10.54187/jnrs.978216.

ISNAD

Chhabra, Praphull. “Inequalities for 3-Convex Functions and Applications”. Journal of New Results in Science 11/1 (April 1, 2022): 1-12. https://doi.org/10.54187/jnrs.978216.

JAMA

1.Chhabra P. Inequalities for 3-convex functions and applications. JNRS. 2022;11:1–12.

MLA

Chhabra, Praphull. “Inequalities for 3-Convex Functions and Applications”. Journal of New Results in Science, vol. 11, no. 1, Apr. 2022, pp. 1-12, doi:10.54187/jnrs.978216.

Vancouver

1.Praphull Chhabra. Inequalities for 3-convex functions and applications. JNRS. 2022 Apr. 1;11(1):1-12. doi:10.54187/jnrs.978216