Journal
Turkish Journal of Science
Volume & Issue
Volume 9, Issue 3
Published on
December 2, 2024
Pages
194-206
DOI
Article
Generalization of Giaccardi Inequality for Isotonic Linear Functionals
Authors
Atiq ur REHMAN,Wasim IQBAL
Abstract
In this article, Giaccardi inequality is generalized for isotonic linear functional with the help of (h, m)-convex functions. As a special case, Petrovic´ inequality for (h, m)-convex functions is established for isotonic linear functional. The results obtained by setting different isotonic linear functionals along with different values of h and m are discussed. Results are also extended for different time scales given in the literature.