Results 261 to 270 of about 2,947,823 (273)
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Weighted Simpson’s inequalities and extension of Montgomery identity
2006Some new inequalities (error estimates) concerning weighted Simp- son type numerical integration for suitable function spaces and norms are proved, discussed and compared with similar results in the literature. As a natural preparation we also prove an extension of a weighted form of the Montgomery identity.
Pečarić, Josip, Čuljak, Vera
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On the generalized montgomery identity for double integrals
2017In 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.
Sarıkaya, Mehmet Zeki, Yıldız, M.K.
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Montgomery Identities for Fractional Integrals and Fractional Inequalities
2011In this chapter we develop some integral identities and inequalities for the fractional integral. We obtain Montgomery identities for fractional integrals and a generalization for double fractional integrals. We also give Ostrowski and Gruss inequalities for fractional integrals. This chapter is based on [80].
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An application of the Montgomery identity to quadrature rules
Rendiconti del seminario matematico, 2008We use the Montgomery identity to obtain an optimal quadrature rule. It turns out that this rule is the well-known compound trapezoidal rule.
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On Landau type inequalities via extension of Montgomery identity, Euler and Fink identities
Nonlinear functional analysis and applications, 2005Four different versions of Landau type inequalities are given. First one is obtained using extension of the Montgomery identity via Taylor's formula, then another for functions with Holder continuous derivatives, then one using the Euler identity and the one obtained via the Fink identity.
Aglić-Aljinović, Andrea +2 more
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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 +1 more
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A functional generalization of Ostrowski inequality via Montgomery identity
2015Summary: 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} \
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Hardy-type inequalities generalized via Montgomery identity
Montes Taurus journal of pure and applied mathematicsIn this talk, we give generalization of Hardy’s type inequalities by using the Green function and the Montgomery identity. We lean on the idea of the generalization of the Hardy inequality that includes measure spaces with positive σ-finite measures. We provide the result concerning the n-convexity property of the function and establish the connection ...
Praljak, Marjan +2 more
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