Work

An Improved Version of the Parameterized Hardy–Hilbert Inequality Involving Two Partial Sums

Year: 2025

Type: article

Abstract: In this paper, by employing the Euler–Maclaurin summation formula and real analysis techniques, an improved version of the parameterized Hardy–Hilbert inequality involving two partial sums is established. Based on the obtained inequality, the equivalent conditions of the best possible constant factor related to several parameters are discussed. Our results extend the classical Hardy–Hilbert inequality and improve certain existing results.

Source: Mathematics

DOI: 10.3390/math13081331

Authors: Bicheng Yang, Shanhe Wu

Institutions: Longyan University, Guangdong University of Education

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Natural Science Foundation of Fujian Province