Work

Sharp bounds for the elliptic integral of the first kind in terms of two classes of logarithmic-type functions

Year: 2024

Type: article

Abstract: For r ? (0, 1), let K(r) be the complete elliptic integral of the first kind. In this paper, by introducing two classes of logarithmic-type functions, and proving the monotonicity and absolutely monotonicity properties of certain functions involving K(r) and the logarithmic-type functions, several new functional inequalities for K(r) will be derived, which improve some previous known results.

Source: Applicable Analysis and Discrete Mathematics

DOI: 10.2298/aadm230909023w

Author: Miao-Kun Wang

Institution: Huzhou Normal University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Natural Science Foundation of Zhejiang Province

Award: 超几何函数在两个几何问题中的应用研究