Work

On generalization of Mercer’s inequality involving averages of convex functions

Year: 2025

Type: article

Abstract: Utilizing integral arithmetic mean and applying a generalized form of Niezgoda?s inequality, we present new proofs concerning the (m, n)-convexity of the integral arithmetic mean function, denoted as F. Additionally, we establish an inequality for divided differences by employing the extended form of Niezgoda?s inequality. Moreover, we demonstrate the convexity of the function defined by these divided differences.

Source: Applicable Analysis and Discrete Mathematics

DOI: 10.2298/aadm231206012a

Authors: Gorana Aras-Gazic, Josip Pecaric, Marjan Praljak

Institutions: University of Zagreb, Croatian Academy of Sciences and Arts

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409344148

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