1,721,213 research outputs found
Some inequalities for convex functions of selfadjoint operators in Hilbert spaces
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
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
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
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
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
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
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
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
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
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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