Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions

Author(s):

Amel Berhail * , Badreddine Meftah

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this study, we first establish two new identities for multiplicative differentiable functions. Based on these identities, we derive the midpoint and trapezoid type inequalities. The acquired outcomes improve and refine upon Khan and Budak's findings. At the conclusion, some applications to special means are provided.
Keywords:

Non-Newtonian Calculus , Midpoint Inequality , Trapezoid Inequality , Multiplicatively Convex Functions

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:21 Issue: 3, Summer 2024
Pages:
267 to 278
https://www.magiran.com/p2737861