Some Companions of Fejér-Type Inequalities for Harmonically Convex Functions
نویسندگان
چکیده
In this paper, we present some mappings defined over 0,1 related to the Fejér-type inequalities that have been established for harmonically convex functions. As a consequence, obtain companions of functions by using these mappings. Properties are discussed, and consequently, refinement known results.
منابع مشابه
Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions
The author introduces the concept of harmonically convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions.
متن کاملOn Fejér Type Inequalities for (η1,η2)-Convex Functions
In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (...
متن کاملSome Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex. Several Hermite-Hadamard type inequalities for products of two harmonically s-convex functions are also considered.
متن کاملFejér Type Inequalities for Harmonically-convex Functions with Applications
In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic convexity and some auxiliary results, some new Fejér type integral inequalities are presented. Applications to special means of positive real numbers are given as well.
متن کاملInequalities of Ando's Type for $n$-convex Functions
By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry
سال: 2022
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym14112268