Novel Hermite-Hadamard type integral inequalities for twice differentiable functions by weighted integrals

For convex, s-convex and h-convex functions, the Hermite-Hadamard inequality is already well known in the theory of inequalities. In this regard, this work presents new inequalities associated with the weighted integrals for (h, m)-convex modified functions by utilizing a different technique. These novel inequalities are also obtained by means of Power-mean, Young, and Holder inequalities.

Dergi

FILOMAT

Yıl

2025

Cilt

39

Sayı

3

Sayfa

1019-1032

ISSN

0354-5180

DOI

10.2298/FIL2503019N

WoS UID

WOS:001470436100023

Yayını aç (DOI)