Results 151 to 156 of about 9,027 (156)

A functional generalization of Ostrowski inequality via Montgomery identity

2015
Summary: In this paper amongst other, we show that if \(f\: [a, b] \rightarrow \mathbb R\) is absolutely continuous on \([a, b]\) and \(\Phi \: \mathbb R \rightarrow \mathbb R\) is convex (concave) on \(\mathbb R\), then \[ \begin{aligned} &\Phi \left (f(x)-\frac {1}{b-a} \int \limits ^b_a f(t)\operatorname {d}\!t\right) \\ &\leq (\geq) \frac {1}{b-a} \
openaire   +1 more source

On the generalized montgomery identity for double integrals

In this paper, we establish a generalized Montgomery identity for double integrals and some new generalized Ostrowski type inequality for double integrals is obtained by using fairly elementary analysis.
Sarikaya, Mehmet Zeki, Yildiz, Mustafa Kemal   +1 more
openaire   +1 more source

Generalization of Sherman’s theorem by Montgomery identity and new Green functions

Advanced Studies in Contemporary Mathematics, 2017
In this paper, we give generalization of Sherman inequality by using Green functions and Montgomery identity. We present Gr¨uss and Ostrowski-type inequalities related to generalized Sherman inequality. We give mean value theorems and n-exponential convexity for the functional associated to generalized inequality.
openaire  

Discrete weighted Montgomery identityand discrete Ostrowski type inequalities

Computers and Mathematics With Applications, 2004
Josip Pecaric
exaly  

Multidimensional Montgomery Identities and Ostrowski type Inequalities

2009
openaire   +1 more source

Self-bibliotherapy: writing and identity consolidation processes in “Emily of New Moon” by Lucy Maud Montgomery

Journal of Poetry Therapy
exaly