Article 2025 · 2 atıf

New estimates on generalized Hermite-Hadamard-Mercer-type inequalities

Yildiz, Cetin, Erden, Samet, Kermausuor, Seth, Breaz, Daniel, Cotirla, Luminita-Ioana

Özet

The concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer's inequality. This inequality, which is derived through the application of convex functions, has been extensively studied and is a subject of considerable interest within the mathematical community. This paper presents new generalizations related to Mercer's inequality and compares the inequalities obtained for different values of n with those presented in the existing literature. Also, this study presents pioneering contributions to the field, and we believe that the results in this study will enhance further research on the topic.

Anahtar Kelimeler

Convex function Mercer inequality Hermite-Hadamard inequality Jensen inequality FRACTIONAL INTEGRALS CONVEX-FUNCTIONS

WoS Kategorileri

Mathematics, Applied Mathematics

Künye

Dergi: BOUNDARY VALUE PROBLEMS
Yıl: 2025
Cilt: 2025
Sayı: 1
ISSN: 1687-2770
DOI: 10.1186/s13661-025-02012-y
WoS UID: WOS:001417580300001

Yayını aç (DOI)