Results 11 to 20 of about 305,872 (123)
Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I) [PDF]
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]
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]
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]
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]
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
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
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]
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]
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 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

