Results 261 to 270 of about 161,269 (289)

MULTIVARIATE MONTGOMERY IDENTITIES AND OSTROWSKI INEQUALITIES

Numerical Functional Analysis and Optimization, 2002
ABSTRACT Multivariate Montgomery type identities are developed involving, among others, integrals of mixed partial derivatives. These lead to new multivariate Ostrowski type inequalities. These inequalities in their right-hand sides involve Lp -norms of the engaged mixed partials. An application is given at the end to Probability.
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Generalizations of Sherman’s inequality by Montgomery identity and Green function

Electronic Journal of Mathematical Analysis and Applications, 2017
In this paper, we give generalization of Sherman inequality by using Green function and Montgomery identity. We present Gr¨uss and Ostrowskitype inequalities related to generalized Sherman inequality. We give mean value theorems and n-exponential convexity for the functional associated to generalized inequality. We also give a family of functions which
Khan, M. A., Khan, J., Pečarić, Josip
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Hardy-type inequalities generalized via Montgomery identity

Montes Taurus journal of pure and applied mathematics
In 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, Pokaz, Dora, Krulić Himmelreich, Kristina   +2 more
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Weighted Simpson’s inequalities and extension of Montgomery identity

2006
Some 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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Complex Multivariate Montgomery Identity and Ostrowski and Grüss Inequalities

2020
We give a general complex multivariate Montgomery type identity which is a representation formula for a complex multivariate function. Using it we produce general tight complex multivariate high order Ostrowski and Gruss type inequalities. The estimates involve \(L_{p}\) norms, any \(1\le p\le \infty \). We include also applications. See also [1].
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Montgomery Identities for Fractional Integrals and Fractional Inequalities

2011
In 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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On the generalized montgomery identity for double integrals

2017
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.
Sarıkaya, Mehmet Zeki, Yıldız, M.K.
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On Landau type inequalities via extension of Montgomery identity, Euler and Fink identities

Nonlinear functional analysis and applications, 2005
Four 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, Marangunić, Ljubo, Pečarić, Josip   +2 more
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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} \
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Meaningful Change in Depression Symptoms Assessed with the Patient Health Questionnaire (PHQ-9) and Montgomery-Åsberg Depression Rating Scale (MADRS) Among Patients with Treatment Resistant Depression in Two, Randomized, Double-blind, Active-controlled Trials of Esketamine Nasal Spray Combined With a New Oral Antidepressant

Journal of Affective Disorders, 2021
Stacie Hudgens, Lysbeth L Floden
exaly