Results 1 to 10 of about 5,359,615 (162)

Schur-Convexity of the Mean of Convex Functions for Two Variables

open access: yesAxioms, 2022
The results of Schur convexity established by Elezovic and Pecaric for the average of convex functions are generalized relative to the case of the means for two-variable convex functions. As an application, some binary mean inequalities are given.
Huan-Nan Shi   +2 more
doaj   +5 more sources

MϕA-h-Convexity and Hermite-Hadamard Type Inequalities

open access: yesInternational Journal of Analysis and Applications, 2022
We investigate a family of MϕA-h-convex functions, give some properties of it and several inequalities which are counterparts to the classical inequalities such as the Jensen inequality and the Schur inequality.
Sanja Varošanec
doaj   +1 more source

Aggregating distributed energy resources for grid flexibility services: A distributed game theoretic approach

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen   +3 more
wiley   +1 more source

Hermite-Hadamard and Schur-Type Inequalities for Strongly h-Convex Fuzzy Interval Valued Functions

open access: yesJournal of Function Spaces, 2022
The concept of fuzzy theory was developed in 1965 and becomes an acknowledged research subject in both pure and applied mathematics and statistics, showing how this theory is highly applicable and productive in many applications. In the present study, we
Putian Yang, Shiqing Zhang
doaj   +1 more source

Jensen-Type Inequalities for (h, g; m)-Convex Functions

open access: yesMathematics, 2021
Jensen-type inequalities for the recently introduced new class of (h,g;m)-convex functions are obtained, and certain special results are indicated. These results generalize and extend corresponding inequalities for the classes of convex functions that ...
Maja Andrić
doaj   +1 more source

Generalization of the Lieb–Thirring–Araki Inequality and Its Applications

open access: yesMathematics, 2021
The matrix eigenvalue is very important in matrix analysis, and it has been applied to matrix trace inequalities, such as the Lieb–Thirring–Araki theorem and Thompson–Golden theorem.
Yonggang Li, Jing Wang, Huafei Sun
doaj   +1 more source

Unification of Generalized and p-Convexity

open access: yesJournal of Function Spaces, 2020
In the present note, we will introduce the definition of generalized p convex function. We will investigate some properties of generalized p convex function.
Chahn Yong Jung   +5 more
doaj   +1 more source

Some examples for stable and historic behavior in replicator equations

open access: yesExamples and Counterexamples, 2022
The evolutionary dynamics of zero-sum and non zero-sum games under replicator equations could be drastically different from each other. In zero-sum games, heteroclinic cycles naturally occur whenever the species of the population supersede each other in ...
Mansoor Saburov
doaj   +1 more source

The Schur Harmonic Convexity of the Hamy Symmetric Function and Its Applications

open access: yesJournal of Inequalities and Applications, 2009
We prove that the Hamy symmetric function Fn(x,r)=∑1≤i1<i2<⋯<ir≤n(∏j=1rxij)1/r is Schur harmonic convex for x∈R+n.
Yuming Chu, Yupei Lv
doaj   +2 more sources

On Generalized Strongly p-Convex Functions of Higher Order

open access: yesJournal of Mathematics, 2020
The aim of this paper is to introduce the definition of a generalized strongly p-convex function for higher order. We will develop some basic results related to generalized strongly p-convex function of higher order.
Muhammad Shoaib Saleem   +4 more
doaj   +1 more source

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