Results 1 to 10 of about 258,824 (188)

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, Wang Dong-Sheng
exaly   +5 more sources

Schur-power convexity of integral mean for convex functions on the coordinates

open access: yesOpen Mathematics, 2023
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
exaly   +2 more sources

Schur-harmonic convexity related to co-ordinated harmonically convex functions in plane

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we investigate Schur-harmonic convexity of some functions which are obtained from the co-ordinated harmonically convex functions on a square in a plane.
Ali Barani
exaly   +3 more sources

A Note on Generalized Strongly p-Convex Functions of Higher Order

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2022
Generalized strongly -convex functions of higher order is a new concept of convex functions which introduced by Saleem et al. in 2020. The Schur type inequality for generalized strongly -convex functions of higher order also studied by them.
Corina Karim, Ekadion Maulana
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

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

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

Schur-Type Inequalities for Complex Polynomials with no Zeros in the Unit Disk

open access: yesJournal of Inequalities and Applications, 2007
Starting out from a question posed by T. Erdélyi and J. Szabados, we consider Schur-type inequalities for the classes of complex algebraic polynomials having no zeros within the unit disk D.
Szilárd Gy. Révész
doaj   +2 more sources

On certain weighted Schur type inequalities

open access: yesScience, Technology and Innovation, 2022
In this note we give sharp Schur type inequalities for univariate polynomials with convex weights. Our approach will rely on application of two-dimensional Markov type inequalities, and also certain properties of Jacobi polynomials in order to prove ...
Tomasz Beberok
doaj   +1 more source

On generalized strongly modified h-convex functions

open access: yesJournal of Inequalities and Applications, 2020
We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class.
Taiyin Zhao   +4 more
doaj   +1 more source

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