An Ostrowski type inequality for interval-valued functions

Flores-Franulič, A.; Chalco-Cano, Y.; Román-Flores, Heriberto

doi:10.1109/ifsa-nafips.2013.6608617

Cited by 47 publications

(27 citation statements)

References 12 publications

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“…In [18], Román-Flores et al established Minkowski and Beckenbach's inequalities for intervalvalued functions. For the others, please see [5,6,9,18,19]. However, inequalities were studied for more general set-valued maps.…”

Section: Introductionmentioning

confidence: 99%

On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions

Zhao¹,

An²,

Ye³

et al. 2020

Mathematical Inequalities &Amp; Applications

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In this paper, we establish Hermite-Hadamard inequality for interval-valued convex function on the co-ordinates on the rectangle from the plane. We also present Hermite-Hadamard inequality for the product of interval-valued convex functions on co-ordinates. Some examples are also given to clarify our new results.For more results related to (1.2) we refer ( [1], [10], [16]) and references therein. On the other hand, interval analysis is a particular case of set-valued analysis which is the study of sets in the spirit of mathematical analysis and general topology. It was introduced as an attempt to handle interval uncertainty that appears in many mathematical or computer models of some deterministic real-world phenomena. An old example of interval enclosure is Archimede's method which is related to compute of the circumference of a circle. In 1966, the first book related to interval analysis

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Section: Introductionmentioning

confidence: 99%

On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions

Zhao¹,

An²,

Ye³

et al. 2020

Mathematical Inequalities &Amp; Applications

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“…Recently, several classical integral inequalities have been extended not only to the context of interval-valued functions by Chalco-Cano et al [5,6], Román-Flores et al [40,41], Flores-Franulič et al [19], Costa and Román-Flores [12], but also to more general setvalued maps by Matkowski and Nikodem [24], Mitroi et al [27], and Nikodem et al [30]. In particular, Costa [9] presented a new fuzzy version of Jensen inequalities type integral for fuzzy-interval-valued functions.…”

Section: Introductionmentioning

confidence: 99%

New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions

Zhao

et al. 2018

J Inequal Appl

122

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“…Among the many types of inequalities, those carrying the names of Jensen, Hermite-Hadamard, Hardy, Ostrowski, Minkowski and Opial et al have a deep significance and have made a great impact in substantial fields of research. Recently, some of these inequalities have been extended to interval-valued functions by Chalco-Cano et al; see, e.g., [10][11][12][13][14][15][16]. Surprisingly enough, interval Hermite-Hadamard type inequalities has perhaps not received enough attention [17].…”

Section: Introductionmentioning

confidence: 99%