Ostrowski type inequalities and applications in numerical integration for interval-valued functions

Y. Chalco-Cano; W. A. Lodwick; W. Condori-Equice

doi:10.1007/s00500-014-1483-6

Ostrowski type inequalities and applications in numerical integration for interval-valued functions

Y. Chalco-Cano
, W. A. Lodwick
, W. Condori-Equice

Department of Mathematics

University of Colorado Denver
Universidad Mayor de San Andrés, Bolivia

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

122 Scopus citations

Abstract

The present paper is devoted to obtaining new Ostrowski type inequalities for interval-valued functions using the generalized Hukuhara derivative for interval-valued functions which is the concept more general of derivative for interval-valued functions. As an application, we obtain an error estimation to quadrature rules for interval-valued functions.

Original language	English
Pages (from-to)	3293-3300
Number of pages	8
Journal	Soft Computing
Volume	19
Issue number	11
DOIs	https://doi.org/10.1007/s00500-014-1483-6
State	Published - 24 Nov 2015

Keywords

Interval-valued functions
Ostrowski type inequalities
gH-Differentiability and integrability of interval-valued functions

Access to Document

10.1007/s00500-014-1483-6

Cite this

@article{ff507ed6b8de47f394fb9fb632df5082,

title = "Ostrowski type inequalities and applications in numerical integration for interval-valued functions",

abstract = "The present paper is devoted to obtaining new Ostrowski type inequalities for interval-valued functions using the generalized Hukuhara derivative for interval-valued functions which is the concept more general of derivative for interval-valued functions. As an application, we obtain an error estimation to quadrature rules for interval-valued functions.",

keywords = "Interval-valued functions, Ostrowski type inequalities, gH-Differentiability and integrability of interval-valued functions",

author = "Y. Chalco-Cano and Lodwick, \{W. A.\} and W. Condori-Equice",

note = "Publisher Copyright: {\textcopyright} 2014, Springer-Verlag Berlin Heidelberg.",

year = "2015",

month = nov,

day = "24",

doi = "10.1007/s00500-014-1483-6",

language = "English",

volume = "19",

pages = "3293--3300",

journal = "Soft Computing",

issn = "1432-7643",

number = "11",

}

TY - JOUR

T1 - Ostrowski type inequalities and applications in numerical integration for interval-valued functions

AU - Chalco-Cano, Y.

AU - Lodwick, W. A.

AU - Condori-Equice, W.

PY - 2015/11/24

Y1 - 2015/11/24

N2 - The present paper is devoted to obtaining new Ostrowski type inequalities for interval-valued functions using the generalized Hukuhara derivative for interval-valued functions which is the concept more general of derivative for interval-valued functions. As an application, we obtain an error estimation to quadrature rules for interval-valued functions.

AB - The present paper is devoted to obtaining new Ostrowski type inequalities for interval-valued functions using the generalized Hukuhara derivative for interval-valued functions which is the concept more general of derivative for interval-valued functions. As an application, we obtain an error estimation to quadrature rules for interval-valued functions.

KW - Interval-valued functions

KW - Ostrowski type inequalities

KW - gH-Differentiability and integrability of interval-valued functions

UR - https://www.scopus.com/pages/publications/84942162765

U2 - 10.1007/s00500-014-1483-6

DO - 10.1007/s00500-014-1483-6

M3 - Article

AN - SCOPUS:84942162765

SN - 1432-7643

VL - 19

SP - 3293

EP - 3300

JO - Soft Computing

JF - Soft Computing

IS - 11

ER -

Ostrowski type inequalities and applications in numerical integration for interval-valued functions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this