A Refined Jensen Inequality Connected to an Arbitrary Positive Finite Sequence
نویسندگان
چکیده
The prime purpose of this paper is to provide a refinement Jensen’s inequality in connection with positive finite sequence. We deal the for particular cases and point out relation between new result earlier results inequality. As results, we obtain refinements quasi-arithmetic power mean inequalities. Finally, several are obtained information theory help main results.
منابع مشابه
Sobolev Regularity and an Enhanced Jensen Inequality
We derive a new criterion for a real-valued function u to be in the Sobolev space W 1,2(Rn). This criterion consists of comparing the value of a functional R f(u) with the values of the same functional applied to convolutions of u with a Dirac sequence. The difference of these values converges to zero as the convolutions approach u, and we prove that the rate of convergence to zero is connected...
متن کاملJensen Inequality with Subdifferential for Sugeno Integral
The classical Jensen inequality for concave function φ is adapted for the Sugeno integral using the notion of the subdifferential. Some examples in the framework of the Lebesgue measure to illustrate the results are presented.
متن کاملA Jensen Inequality for a Family of Analytic Functions
We improve an estimate obtained in [Br] for the average number of limit cycles of a planar polynomial vector field situated in a neighbourhood of the origin provided that the field in a larger neighbourhood is close enough to a linear center. The result follows from a new distributional inequality for the number of zeros of a family of univariate holomorphic functions depending holomorphically ...
متن کاملA note on Jensen type inequality for Choquet integrals
The purpose of this paper is to prove a Jensen type inequality for Choquet integrals with respect to a non-additive measure which was introduced by Choquet [1] and Sugeno [20]; Φ((C) ∫ fdμ) ≤ (C) ∫ Φ(f)dμ, where f is Choquet integrable, Φ : [0,∞) −→ [0,∞) is convex, Φ(α) ≤ α for all α ∈ [0,∞) and μf (α) ≤ μΦ(f)(α) for all α ∈ [0,∞). Furthermore, we give some examples assuring both satisfaction ...
متن کاملA Note on Jensen Inequality for Self-adjoint Operators
In this paper we consider the order-like relation for self-adjoint operators on some Hilbert space. This relation is defined by using Jensen inequality. We will show that under some assumptions this relation is antisymmetric.
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: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10244817