Convex combination inequalities of the line and plane

Zlatko Pavić; Shanhe Wu; Štefanija Klarić

doi:10.1155/2014/916243

Convex combination inequalities of the line and plane

Zlatko Pavić, Shanhe Wu, Štefanija Klarić

Research output: Contribution to journal › Article › peer-review

59 Downloads (Pure)

Abstract

The paper deals with convex combinations, convex functions, and Jensen's functionals. The main idea of this work is to present the given convex combination by using two other convex combinations with minimal number of points. For example, as regards the presentation of the planar combination, we use two trinomial combinations. Generalizations to higher dimensions are also considered.

Original language	English
Article number	916243
Pages (from-to)	1-7
Number of pages	7
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/916243
Publication status	Published - 16 Nov 2014
Externally published	Yes

Access to Document

10.1155/2014/916243Licence: Other

25795255-oaFinal published version, 1.99 MBLicence: Other

Cite this

@article{c3ab8c49d90045d98d49ddb3d49de0ed,

title = "Convex combination inequalities of the line and plane",

abstract = "The paper deals with convex combinations, convex functions, and Jensen's functionals. The main idea of this work is to present the given convex combination by using two other convex combinations with minimal number of points. For example, as regards the presentation of the planar combination, we use two trinomial combinations. Generalizations to higher dimensions are also considered.",

author = "Zlatko Pavi{\'c} and Shanhe Wu and {\v S}tefanija Klari{\'c}",

year = "2014",

month = nov,

day = "16",

doi = "10.1155/2014/916243",

language = "English",

volume = "2014",

pages = "1--7",

journal = "Abstract and Applied Analysis",

issn = "1085-3375",

publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Convex combination inequalities of the line and plane

AU - Pavić, Zlatko

AU - Wu, Shanhe

AU - Klarić, Štefanija

PY - 2014/11/16

Y1 - 2014/11/16

N2 - The paper deals with convex combinations, convex functions, and Jensen's functionals. The main idea of this work is to present the given convex combination by using two other convex combinations with minimal number of points. For example, as regards the presentation of the planar combination, we use two trinomial combinations. Generalizations to higher dimensions are also considered.

AB - The paper deals with convex combinations, convex functions, and Jensen's functionals. The main idea of this work is to present the given convex combination by using two other convex combinations with minimal number of points. For example, as regards the presentation of the planar combination, we use two trinomial combinations. Generalizations to higher dimensions are also considered.

UR - http://www.scopus.com/inward/record.url?scp=84918777779&partnerID=8YFLogxK

U2 - 10.1155/2014/916243

DO - 10.1155/2014/916243

M3 - Article

AN - SCOPUS:84918777779

SN - 1085-3375

VL - 2014

SP - 1

EP - 7

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 916243

ER -

Convex combination inequalities of the line and plane

Abstract

Access to Document

Other files and links

Fingerprint

Cite this