Work

Generalized Bullen Type Inequalities and Their Applications

Year: 2025

Type: article

Abstract: This paper presents a novel extension of Bullen-type inequalities for convex functions by leveraging recently established generalized identities. Through rigorous proofs, we derive new inequalities that exhibit strong connections to both the left- and right-hand sides of the Hermite-Hadamard inequalities for Riemann-integrable functions. Additionally, we apply these results to various special means of two positive numbers.

Source: Fundamental Journal of Mathematics and Applications

DOI: 10.33401/fujma.1557116

Author: Mehmet Zeki Sarikaya

Institution: Düzce Üniversitesi

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411715564

FWCI: 1.924

Cites: 19

Cited by: 1

Related to: 10