Extensions and refinements of fejer and hermite⇓hadamard type inequalities

Shoshana Abramovich; Lars Erik Persson

doi:10.7153/mia-2018-21-54

Extensions and refinements of fejer and hermite⇓hadamard type inequalities

Shoshana Abramovich, Lars Erik Persson

Department of Mathematics

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

Abstract

In this paper extensions and refinements of Hermite-Hadamard and Fejer type inequalities are derived including monotonicity of some functions related to the Fejer inequality and extensions for functions, which are 1-quasiconvex and for function with bounded second derivative. We deal also with Fejer inequalities in cases that p, the weight function in Fejer inequality, is not symmetric but monotone on [a, b] .

Original language	English
Pages (from-to)	759-772
Number of pages	14
Journal	Mathematical Inequalities and Applications
Volume	21
Issue number	3
DOIs	https://doi.org/10.7153/mia-2018-21-54
State	Published - Jul 2018

Bibliographical note

Publisher Copyright:
© 2018 Element D.O.O. All rights reserved.

Keywords

Convexity
Fejer inequality
Hermite-hadamard inequality
N-quasiconvexity

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.7153/mia-2018-21-54

Cite this

@article{c7d08761db774cfe93ce0f7a079cf93c,

title = "Extensions and refinements of fejer and hermite⇓hadamard type inequalities",

abstract = "In this paper extensions and refinements of Hermite-Hadamard and Fejer type inequalities are derived including monotonicity of some functions related to the Fejer inequality and extensions for functions, which are 1-quasiconvex and for function with bounded second derivative. We deal also with Fejer inequalities in cases that p, the weight function in Fejer inequality, is not symmetric but monotone on [a, b] .",

keywords = "Convexity, Fejer inequality, Hermite-hadamard inequality, N-quasiconvexity",

author = "Shoshana Abramovich and Persson, {Lars Erik}",

year = "2018",

month = jul,

doi = "10.7153/mia-2018-21-54",

language = "English",

volume = "21",

pages = "759--772",

journal = "Mathematical Inequalities and Applications",

issn = "1331-4343",

publisher = "Element d.o.o.",

number = "3",

}

TY - JOUR

T1 - Extensions and refinements of fejer and hermite⇓hadamard type inequalities

AU - Abramovich, Shoshana

AU - Persson, Lars Erik

PY - 2018/7

Y1 - 2018/7

N2 - In this paper extensions and refinements of Hermite-Hadamard and Fejer type inequalities are derived including monotonicity of some functions related to the Fejer inequality and extensions for functions, which are 1-quasiconvex and for function with bounded second derivative. We deal also with Fejer inequalities in cases that p, the weight function in Fejer inequality, is not symmetric but monotone on [a, b] .

AB - In this paper extensions and refinements of Hermite-Hadamard and Fejer type inequalities are derived including monotonicity of some functions related to the Fejer inequality and extensions for functions, which are 1-quasiconvex and for function with bounded second derivative. We deal also with Fejer inequalities in cases that p, the weight function in Fejer inequality, is not symmetric but monotone on [a, b] .

KW - Convexity

KW - Fejer inequality

KW - Hermite-hadamard inequality

KW - N-quasiconvexity

UR - http://www.scopus.com/inward/record.url?scp=85052715296&partnerID=8YFLogxK

U2 - 10.7153/mia-2018-21-54

DO - 10.7153/mia-2018-21-54

M3 - Article

AN - SCOPUS:85052715296

SN - 1331-4343

VL - 21

SP - 759

EP - 772

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 3

ER -

Extensions and refinements of fejer and hermite⇓hadamard type inequalities

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this