1,721,213 research outputs found

    Some inequalities for convex functions of selfadjoint operators in Hilbert spaces

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    Some inequalities for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for particular cases of interest are also provided

    Adverse Childhood Experiences (ACEs) and Trauma in Young Children - A Children's Mental Health eReview summary

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    This teaching handout summarizes the research in the Children's Mental Health eReview issue "Adverse Childhood Experiences (ACEs) and Trauma in Young Children". See full authorship.Michaels, Cari C. (2022). Adverse Childhood Experiences (ACEs) and Trauma in Young Children - A Children's Mental Health eReview summary. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/226911

    Historical Trauma and Cultural Healing: A Children's Mental Health eReview summary

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    This teaching handout summarizes the research in the Children's Mental Health eReview issue "Historical Trauma and Cultural Healing". See full authorship.Michaels, Cari C. (2022). Historical Trauma and Cultural Healing: A Children's Mental Health eReview summary. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/226910

    On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions

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    We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well. The analysis used in the proofs is fairly elementary and based on the use of the Minkowski, Hölder, and Young inequalities

    Gauss-Pólya Type Results and the Hölder Inequality

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    Some special Gauss–Pólya type inequalities are obtained by the use of Hölder’s inequality

    Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces

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    Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for particular cases of interest are also provided

    Some Jensen's type inequalities for twice differentiable functions of selfadjoint opertors in Hilbert spaces

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    Some Jensen’s type inequalities for twice differentiable functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for particular cases of interest are also provided

    Generalized Abstracted Mean Values

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    In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and monotonicities

    A Note on Ostrowski's Inequality

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    This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: i) the case of random variables (attached to arbitrary probability fields); ii) the comparison is performed additively or multiplicatively; iii) the mean value is attached to a multiplicative averaging process

    Some Refinements of Hilbert-Pachpatte type integral Inequalities

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    In this paper, we obtain an extension of a multivariable integral inequality of Hilbert-Pachpatte type. By specializing the upper estimate functions in the hypothesis and the parameters, we obtain many special cases
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