Über die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert

Ostrowski, Alexander

doi:10.1007/978-3-0348-9342-8_15

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Introduction4

Applications For the Generalized Trapezoid Formula1

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2003

2021

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Cited by 156 publications

(200 citation statements)

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“…Inequality ( * ) is sharp, see [1]. Since 1938 when A. Ostrowski proved his famous inequality, see [8], many people have been working about and around it, in many different directions and with a lot of applications in Numerical Analysis and Probability, etc.…”

Section: Introductionmentioning

confidence: 99%

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Fuzzy Ostrowski type inequalities

Anastassiou

2003

Mat. apl. comput.

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Abstract. We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a, b] ⊂ R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions. These inequalities are given for fuzzy Hölder and fuzzy differentiable functions and these facts are reflected in their right-hand sides.Mathematical subject classification: 26D07, 26D15, 26E50.

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Section: Introductionmentioning

confidence: 99%

“…This current article is mainly motivated by [1], [6], [8], [11] and extends Ostrowski type inequalities into the fuzzy setting, as fuzzyness is a natural reality #556/02. Received: 19/IX/02.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Ostrowski type inequalities

Anastassiou

2003

Mat. apl. comput.

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“…The following particular case of Theorem 3.1 in connection with the celebrated Ostrowski inequality [19] can be stated as well.…”

Section: Applications For the Generalized Trapezoid Formulamentioning

confidence: 99%

APPROXIMATING THE STIELTJES INTEGRAL FOR (Φ,Φ)-Lipschitzian INTEGRATORS

Dragomir¹

2008

Bulletin of the Australian Mathematical Society

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“…The following theorem describes an inequality which is known in literature as Ostrowski's inequality [6]. The constant | is sharp in the sense that it cannot be replaced by a smaller one.…”

Section: Introductionmentioning

confidence: 99%