Results 11 to 20 of about 305,872 (123)

Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I) [PDF]

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2016
Perturbed companions of Ostrowski’s inequality for absolutely continuous functions whose derivatives are either bounded or of bounded variation and applications are given.
Dragomir Silvestru Sever
doaj   +3 more sources

Inequality of Ostrowski Type for Mappings with Bounded Fourth Order Partial Derivatives [PDF]

open access: yesAbstract and Applied Analysis, 2019
A general Ostrowski’s type inequality for double integrals is given. We utilize function whose partial derivative of order four exists and is bounded.
Waseem Ghazi Alshanti
doaj   +2 more sources

Approximating the Stieltjes Integral via the Darst-Pollard Inequality [PDF]

open access: yes, 2007
An approximation of the Stieltjes integral of bounded integrals and continuous integrators via the Darst-Pollard inequality is given. Applications for the generalised trapezoid formula and the Ostrowski inequality for functions of bounded variation ...
S. S. Dragomir   +4 more
core   +1 more source

A note to Ujević’s generalization of Ostrowski’s inequality [PDF]

open access: yes, 2005
Following the main ideas of X.H. Wang [Remarks on some quadrature formulas, Math. Numer. Sin. 3 (1978) 76–84 (in Chinese)], we give a unified treatment of error estimates for a general quadrature rule satisfying a natural condition with integrand or its ...
Wu, Qingbiao, Yang, Shijun
core   +1 more source

Ostrowski’s inequality on time scales [PDF]

open access: yes, 2008
A time scale version of Ostrowski’s inequality is given as follows: Let f,g∈Crd([a,b],R) be two linearly independent functions, then for any α∈[−1,1] and any arbitrary x∈Crd([a,b],R) with (C1)∫abf(t)x(t)Δt=0,∫abg(t)x(t)Δt=1, the function αx(t)+(1−α)y(t ...
Yeh, Cheh-Chih
core   +1 more source

A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016
A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral ∫ab f(t)du(t), where f is assumed to be of r-H-Hölder type on [a,b] and u is of bounded variation on [a,b], is proved.
Mohammad W. Alomari
doaj   +1 more source

On New Generalized Ostrowski Type Integral Inequalities

open access: yesAbstract and Applied Analysis, 2014
The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequality.
A. Qayyum   +3 more
doaj   +1 more source

Some Refinements of Ostrowski’s Inequality and an Extension to a 2-Inner Product Space [PDF]

open access: yes, 2019
The purpose of this paper is to prove certain refinements of Ostrowski’s inequality in an inner product space. We study extensions of Ostrowski type inequalities in a 2-inner product space.
Nicuşor Minculete
core   +1 more source

Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions [PDF]

open access: yes, 2006
Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonic integrators and Holder continuous integrands while the second considers the dual case, i.e., for monotonic integrands and Holder continuous ...
Cheung, WS   +3 more
core   +2 more sources

Some Ostrowski’S Type Inequalities For Functions Whose Second Derivatives Are S-Convex In The Second Sense

open access: yesDemonstratio Mathematica, 2014
Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are ...
Set Erhan   +2 more
doaj   +1 more source

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