Bounds and Inequalities Relating h-Index, g-Index, e-Index and Generalized Impact Factor

TL;DR

This paper establishes mathematical bounds and inequalities among various scholarly impact metrics like h-index, g-index, e-index, and generalized impact factor, enhancing understanding of their interrelations.

Contribution

It introduces new bounds and inequalities relating impact indices based solely on their definitions, without assuming any specific continuous model.

Findings

Derived bounds linking h-index, g-index, e-index, and impact factor.

Established inequalities based on basic definitions of the indices.

Provided a theoretical framework for comparing impact metrics.

Abstract

Finding relationships among different indices such as h-index, g-index, e-index, and generalized impact factor is a challenging task. In this paper, we describe some bounds and inequalities relating h-index, g-index, e-index, and generalized impact factor. We derive the bounds and inequalities relating these indexing parameters from their basic definitions and without assuming any continuous model to be followed by any of them.