Ostrowski type inequalities for functions whose derivatives are (m,h1,h2)-convex

Miguel Vivas-Cortez; Carlos García

doi:10.18576/amis/110110

Ostrowski type inequalities for functions whose derivatives are (m,h₁,h₂)-convex

Miguel Vivas-Cortez, Carlos García

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

13 Scopus citations

Abstract

We prove new inequalities of Ostrowski type for functions with (m,h₁,h₂)-convex derivative. These generalize previous results on convex, s-convex and h-convex functions.

Original language	English
Pages (from-to)	79-86
Number of pages	8
Journal	Applied Mathematics and Information Sciences
Volume	11
Issue number	1
DOIs	https://doi.org/10.18576/amis/110110
State	Published - 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 NSP.

Keywords

Convex functions
Convexity
M convexity
M h1 h2 convex functions

Access to Document

10.18576/amis/110110

Cite this

@article{aa2d4b3a5508477696ad91d3413b80b1,

title = "Ostrowski type inequalities for functions whose derivatives are (m,h1,h2)-convex",

abstract = "We prove new inequalities of Ostrowski type for functions with (m,h1,h2)-convex derivative. These generalize previous results on convex, s-convex and h-convex functions.",

keywords = "Convex functions, Convexity, M convexity, M h1 h2 convex functions",

author = "Miguel Vivas-Cortez and Carlos Garc{\'i}a",

note = "Publisher Copyright: {\textcopyright} 2017 NSP.",

year = "2017",

doi = "10.18576/amis/110110",

language = "English",

volume = "11",

pages = "79--86",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing",

number = "1",

}

TY - JOUR

T1 - Ostrowski type inequalities for functions whose derivatives are (m,h1,h2)-convex

AU - Vivas-Cortez, Miguel

AU - García, Carlos

PY - 2017

Y1 - 2017

N2 - We prove new inequalities of Ostrowski type for functions with (m,h1,h2)-convex derivative. These generalize previous results on convex, s-convex and h-convex functions.

AB - We prove new inequalities of Ostrowski type for functions with (m,h1,h2)-convex derivative. These generalize previous results on convex, s-convex and h-convex functions.

KW - Convex functions

KW - Convexity

KW - M convexity

KW - M h1 h2 convex functions

UR - http://www.scopus.com/inward/record.url?scp=85010903369&partnerID=8YFLogxK

U2 - 10.18576/amis/110110

DO - 10.18576/amis/110110

M3 - Article

AN - SCOPUS:85010903369

SN - 1935-0090

VL - 11

SP - 79

EP - 86

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 1

ER -