343 research outputs found
Multivariate fractional Ostrowski type inequalities
No full textAbstractOptimal upper bounds are given for the deviation of a value of a multivariate function of a fractional space from its average, over convex and compact subsets of RN,N≥2. In particular we work over rectangles, balls and spherical shells. These bounds involve the supremum and L∞ norms of related multivariate fractional derivatives of the function involved. The inequalities produced are sharp, namely they are attained. This work has been motivated by the works of Ostrowski [A. Ostrowski, Über die Absolutabweichung einer differentiebaren Funcktion von ihrem Integralmittelwert, Commentarii Mathematici Helvetici 10 (1938) 226–227], 1938, and of the author [G.A. Anastassiou, Fractional Ostrowski type inequalities, Communications in Applied Analysis 7 (2) (2003) 203–208], 2003
Operator Inequalities of Ostrowski and Trapezoidal Type
No full textInequalities of Ostrowski and Trapezoidal Type for Functions of Selfadjoint Operators on Hilbert Spaces presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of bounded Selfadjoint operators on complex Hilbert spaces. The first chapter recalls some fundamental facts concerning bounded Selfadjoint operators on complex Hilbert spaces. The generalized Schwarz's inequality for positive Selfadjoint operators as well as some results for the spectrum of this class of operators are presented. The author also introduces and explores the fundamental res
The Perturbed Median Principle for Integral Inequalities with Applications
No full textIn this paper a perturbed version of the Median Principle introduced
by the author in 'The median principle for inequalities and applications' is developed. Applications for various Riemann-
Stieltjes integral and Lebesgue integral inequalities are also provided
Shock induced endotheliopathy (SHINE) in acute critical illness - a unifying pathophysiologic mechanism
No full textThe Erratum to this article has been published in Critical Care 2017 21:187
Unfortunately this article [1] was published with an error. The first and last author names are presented incorrectly. The first author name should be Pär Ingemar Johansson, or alternatively Johansson PI. The last author name should be Sisse Rye Ostrowski, or alternatively Ostrowski SR.One quarter of patients suffering from acute critical illness such as severe trauma, sepsis, myocardial infarction (MI) or post cardiac arrest syndrome (PCAS) develop severe hemostatic aberrations and coagulopathy, which are associated with excess mortality. Despite the different types of injurious “hit”, acutely critically ill patients share several phenotypic features that may be driven by the shock. This response, mounted by the body to various life-threatening conditions, is relatively homogenous and most likely evolutionarily adapted. We propose that shock-induced sympatho-adrenal hyperactivation is a critical driver of endothelial cell and glycocalyx damage (endotheliopathy) in acute critical illness, with the overall aim of ensuring organ perfusion through an injured microvasculature. We have investigated more than 3000 patients suffering from different types of acute critical illness (severe trauma, sepsis, MI and PCAS) and have found a potential unifying pathologic link between sympatho-adrenal hyperactivation, endotheliopathy, and poor outcome. We entitled this proposed disease entity, shock-induced endotheliopathy (SHINE). Here we review the literature and discuss the pathophysiology of SHINE.Peer Reviewe
Generalizations of Ostrowski type inequalities via Hermite polynomials
No full textWe present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable functions of class Cn. Also, we consider new bounds for the remainder of the obtained identities by using the Chebyshev functional and certain Grüss type inequalities for this functional. By applying those results we derive inequalities for the class of n-convex functions. © 2020, The Author(s)
局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)
No full textBased on the theory of local fractional calculus on fractal sets,the author established an identity involving local fractional integrals. Using the identity, some generalized Ostrowski type inequalities for generalized harmonically s-convex functions were obtained
Post quantum Ostrowski‐type inequalities for coordinated convex functions
No full textIn this article, we give a new notion of (p, q) derivatives for continuous functions on coordinates. We also derive post quantum Ostrowski-type inequalities for coordinated convex functions. Our significant results are considered as the generalizations of other results that appeared in the literature.Development and Promotion of Science and Technology talents project (DPST), ThailandWe would like to thank anonymous referees for comments which are helpful for improvement in this paper. The first author is supported by Development and Promotion of Science and Technology talents project (DPST), Thailand
Post-quantum Ostrowski type integral inequalities for twice (p,q)-differentiable functions
No full textIn this paper, we establish a new (p,q) -integral identity using twice (p,q) -differentiable functions. Then, we use this result to derive some new post-quantum Ostrowski type integral inequalities for twice (p,q) -differentiable functions. The newly established results are also proven to be generalizations of some existing results in the area of integral inequalities. © 2022, Journal of Mathematical Inequalities. All Rights Reserved.Acknowledgements. This research has received funding support from the National Science, Research and Innovation Fund (NSRF), Thailand. The first author is supported by Development and Promotion of Science and Technology talents project (DPST), Thailand
Stabilization Benchmark for Electroquasistatic Formulations
No full textThis repository contains code to obtain results from paper:
D. Balian, M. Merkel, J. Ostrowski, H. De Gersem, S. Schöps, "Low-Frequency Stabilization of Dielectric Simulation Problems with Conductors and Insulators", 2023. DOI: 10.48550/arXiv.2302.0031
Stabilization Benchmark for Electroquasistatic Formulations
No full textThis repository contains code to obtain results from paper:
D. Balian, M. Merkel, J. Ostrowski, H. De Gersem, S. Schöps, "Low-Frequency Stabilization of Dielectric Simulation Problems with Conductors and Insulators", 2023. DOI: 10.48550/arXiv.2302.0031
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