New type integral inequalities for convex functions with applications

Khaled Mehrez; Praveen Agarwal

doi:10.17777/pjms2018.21.3.329

New type integral inequalities for convex functions with applications

Khaled Mehrez
, Praveen Agarwal

Université de Tunis El Manar
International College of Engineering
International Centre for Basic and Applied Science

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

Abstract

We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the Hermite-Hadamard's inequalities and Jensen's integral inequality. Useful applications involving special means are also included.

Original language	English
Pages (from-to)	329-337
Number of pages	9
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	21
Issue number	3
DOIs	https://doi.org/10.17777/pjms2018.21.3.329
State	Published - 2018
Externally published	Yes

Keywords

Convex functions
Hermite-Hadamard inequality
Integral inequalities
Special means

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10.17777/pjms2018.21.3.329

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title = "New type integral inequalities for convex functions with applications",

abstract = "We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the Hermite-Hadamard's inequalities and Jensen's integral inequality. Useful applications involving special means are also included.",

keywords = "Convex functions, Hermite-Hadamard inequality, Integral inequalities, Special means",

author = "Khaled Mehrez and Praveen Agarwal",

year = "2018",

doi = "10.17777/pjms2018.21.3.329",

language = "English",

volume = "21",

pages = "329--337",

journal = "Proceedings of the Jangjeon Mathematical Society",

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TY - JOUR

T1 - New type integral inequalities for convex functions with applications

AU - Mehrez, Khaled

AU - Agarwal, Praveen

PY - 2018

Y1 - 2018

N2 - We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the Hermite-Hadamard's inequalities and Jensen's integral inequality. Useful applications involving special means are also included.

AB - We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the Hermite-Hadamard's inequalities and Jensen's integral inequality. Useful applications involving special means are also included.

KW - Convex functions

KW - Hermite-Hadamard inequality

KW - Integral inequalities

KW - Special means

UR - https://www.scopus.com/pages/publications/85075151946

U2 - 10.17777/pjms2018.21.3.329

DO - 10.17777/pjms2018.21.3.329

M3 - Article

AN - SCOPUS:85075151946

SN - 1598-7264

VL - 21

SP - 329

EP - 337

JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

IS - 3

ER -

New type integral inequalities for convex functions with applications

Abstract

Keywords

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