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Impact of Hispanic Ethnicity on Adolescent Tobacco Use Estimates in the United States. [PDF]
Mantey DS +5 more
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The Long-Term Effects of COVID-19 Stress on Mental Health and Identity Among College Students. [PDF]
Mitova E +4 more
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Transferability of the first-mover advantage to individual sports: a conceptual and theoretical analysis. [PDF]
Riegler F, Daumann F.
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MULTIVARIATE MONTGOMERY IDENTITIES AND OSTROWSKI INEQUALITIES
Numerical Functional Analysis and Optimization, 2002ABSTRACT 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.
George A Anastassiou
exaly +2 more sources
Georgian Mathematical Journal, 2014
Abstract. We present a weighted Montgomery identity for the fractional integral of a function f with respect to another function g and use it to obtain weighted Ostrowski type inequalities for fractional integrals involving functions whose first derivatives belong to Lp spaces. These inequalities are generally sharp in
Andrea Aglic Aljinovic +2 more
exaly +3 more sources
Abstract. We present a weighted Montgomery identity for the fractional integral of a function f with respect to another function g and use it to obtain weighted Ostrowski type inequalities for fractional integrals involving functions whose first derivatives belong to Lp spaces. These inequalities are generally sharp in
Andrea Aglic Aljinovic +2 more
exaly +3 more sources
Complex Multivariate Montgomery Identity and Ostrowski and Grüss Inequalities
Studies in Computational Intelligence, 2020We 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].
George A Anastassiou
exaly +2 more sources
Generalizations of the Weighted Hermite-Hadamard and Fejér Inequalities via the Montgomery Identity [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Josip Pecaric, Pecaric J
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On Some Inequalities Arising from Montgomery's Identity (Montgomery's Identity)
Journal of Computational Analysis and Applications, 2003A Montgomery identity is an identity of type \[ f(x)= M(f)+ M(P(x,.)f'), \] where \(M(f)\) is the integral mean of \(f\) on \([a,b]\), and \(P(x, t)= t-a\) on \([a,x]\) and \(=t-b\) on \([x,b]\). The authors combine such identity with applications of Grüss and Chebyshev integral inequalities in order to deduce results on generalized functionals ...
Cerone, P., Dragomir, S. S.
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