Title
On Generalization of Different Integral Inequalities for Harmonically Convex Functions
Abstract
In this study, we first prove a parameterized integral identity involving differentiable functions. Then, for differentiable harmonically convex functions, we use this result to establish some new inequalities of a midpoint type, trapezoidal type, and Simpson type. Analytic inequalities of this type, as well as the approaches for solving them, have applications in a variety of domains where symmetry is important. Finally, several particular cases of recently discovered results are discussed, as well as applications to the special means of real numbers.
Year
DOI
Venue
2022
10.3390/sym14020302
SYMMETRY-BASEL
Keywords
DocType
Volume
midpoint and trapezoidal inequality, Simpson's inequality, harmonically convex functions
Journal
14
Issue
ISSN
Citations 
2
2073-8994
0
PageRank 
References 
Authors
0.34
0
4