227 research outputs found

    Multivariate fractional Ostrowski type inequalities

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    AbstractOptimal 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

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    Inequalities 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

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    In 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

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    The 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

    Early immune response against foot and mouth disease virus

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    La infección de ratones con el Virus de la Fiebre Aftosa (VFA) induce una respuesta de anticuerpos neutralizantes en forma timo-independiente (TI), que rápidamente elimina al virus del organismo. Por el contrario, la vacunación con el virus inactivado induce una típica respuesta timo-dependiente (TD). En este trabajo de tesis se demuestra que las células dendríticas (CDs) murinas son susceptibles a la infección con el VFA in vitro. Sin embargo, la replicación viral en ellas es abortiva. En células infectadas, la expresión de las moléculas del complejo mayor de histocompatibilidad de clase II y CD40 decrece, mientras que la expresión de la molécula CD11b aumenta. Junto con estas alteraciones en el fenotipo, las células infectadas presentan modificaciones en su morfología y en su funcionalidad que, en conjunto, son indicativas de la adquisición de un fenotipo macrofágico. Asimismo, las CDs infectadas son incapaces de estimular la proliferación de linfocitos T in vitro y de inducir una respuesta de anticuerpos secundaria in vivo. La infección de las CDs induce en ellas la secreción de IL-6 y además induce la secreción de interferón-gamma (IFN-γ) y de IL-10 en los co-cultivos CDs y esplenocitos. Estas mismas citoquinas son detectadas en los bazos de ratones infectados con el VFA, pero no en los bazos de ratones vacunados. El pico de la secreción de IFN-γ y de IL- 10 se produce en forma simultánea con la supresión de la proliferación inducida por Concanavalina-A de los linfocitos T obtenidos de los bazos de ratones infectados. A pesar de suprimir las TD durante la infección temprana con el VFA, las CDs infectadas estimulan eficientemente a los linfocitos B del bazo, quienes producen anticuerpos TI contra el virus en forma rápida. La secreción de estos anticuerpos es dependiente de la presencia de las citoquinas IL-6 e IL-10. Por el contrario, los linfocitos B de los ganglios linfáticos son incapaces de responder a la estimulación con las CDs infectadas. Los linfocitos B CD9+ localizados en el bazo son los principales productores de los anticuerpos TI contra el VFA y de la secreción de IL-10. En efecto, la esplenectomía de los 2 ratones produce un cambio en el tipo de respuesta, la cual se vuelve TD. La eliminación funcional de los linfocitos B de la zona marginal inhibe significativamente la secreción de anticuerpos luego de la infección con el VFA, indicando que esta población de linfocitos B cumple un importante papel en la respuesta temprana contra este virus. Contrariamente a lo observado con las CDs infectadas, las CDs que internalizaron al VFA inactivado estimulan linfocitos B con menor eficiencia y no inducen la secreción de IL-10 por los mismos. En conjunto, estos resultados indican que luego de la infección con el VFA, las CDs adquieren un perfil funcional que les permite la eficiente estimulación de los linfocitos B, mientras que la capacidad de estas células para estimular a los linfocitos T se encuentra inhibida. Por lo tanto, durante la respuesta inmune temprana contra el VFA, se produce una supresión selectiva del compartimiento del sistema inmune involucrado en las respuestas TD, mientras que el compartimiento involucrado en la producción de anticuerpos TI protectores es eficientemente estimulado.Foot-and-Mouth Disease Virus (FMDV) is a cytopathic virus that infects mice inducing a thymus-independent (TI) neutralizing antibody response that rapidly clears the virus. In contrast, vaccination with UV-inactivated virus induces a typical thymus-dependent (TD) response. Herein, we show that dendritic cells (DCs) are susceptible to infection with FMDV in vitro, although viral replication is abortive. Infected DCs down-regulate the expression of MHC class II and CD40 molecules and up-regulate expression of CD11b. In addition, infected DCs exhibit morphological and functional changes towards a macrophage-like phenotype. FMDV-infected DCs fail to stimulate T-cell proliferation in vitro and to boost an antibody response in vivo. Moreover, infection of DCs in vitro induces the secretion of gamma-interferon (IFN-γ) and IL-10 in cocultures of DCs and splenocytes. High quantities of these cytokines are also detected in the spleens of FMDV-infected mice, but not in the spleens of vaccinated mice. The peak of secretion of gamma-interferon and IL-10 is concurrent with the suppression of Concanavalin A-mediated proliferation of T cells obtained from the spleens of infected mice. Despite the suppression of TD responses during early infection with FMDV, FMDV-infected DCs efficiently stimulate B lymphocytes from the spleen, which rapidly secrete anti-FMDV TI antibodies. The secretion of these antibodies depends on the presence of IL-6 and IL-10. In contrast, B lymphocytes from lymph-nodes are unable to produce anti-FMDV antibodies upon stimulation with infected DCs. CD9+ B lymphocytes CD9+ in the spleen are the main producers of TI anti-FMDV antibodies and of the secretion of IL-10. Indeed, splenectomy switches the mode of activation of the anti-FMDV immune response from a TI to a TD way. Functional depletion of marginal zone B lymphocytes significantly inhibits the secretion of anti-FMDV antibodies after infection, indicating that this subset of B lymphocytes plays a critical role in the early immune response against this virus. In contrast, DCs loaded with 4 inactivated FMDV are poor stimulators of B lympocytes. In addition, they do not induce the secretion of IL-10 upon co-culture with splenocytes. Altogether, these results indicate that while early after infection with FMDV DCs become potent stimulators of B lymphocytes, their ability to stimulate T lymphocytes is impaired. Thus, during the early immune response against FMDV, a selective suppression of the immune compartment involved in TD responses is established. In contrast, the immune compartment in charge of the production of TI protective antibodies is efficiently stimulated.Fil: Ostrowski, Matías. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina

    Generalizations of Ostrowski type inequalities via Hermite polynomials

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    We 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)

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    Based 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

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    In 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

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    In 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

    Greek medicine and the Hippocratic revolution. Critical-historical approach

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    Ostrowski, Janusz. Greek medicine and the Hippocratic revolution. Critical-historical approach. Journal of Education, Health and Sport. 2022;12(8):1190-1197. eISSN 2391-8306. DOI http://dx.doi.org/10.12775/JEHS.2022.12.08.103 https://apcz.umk.pl/JEHS/article/view/JEHS.2022.12.08.103 https://zenodo.org/record/7025199 The journal has had 40 points in Ministry of Education and Science of Poland parametric evaluation. Annex to the announcement of the Minister of Education and Science of December 21, 2021. No. 32343. Has a Journal's Unique Identifier: 201159. Scientific disciplines assigned: Physical Culture Sciences (Field of Medical sciences and health sciences); Health Sciences (Field of Medical Sciences and Health Sciences). Punkty Ministerialne z 2019 - aktualny rok 40 punktów. Załącznik do komunikatu Ministra Edukacji i Nauki z dnia 21 grudnia 2021 r. Lp. 32343. Posiada Unikatowy Identyfikator Czasopisma: 201159. Przypisane dyscypliny naukowe: Nauki o kulturze fizycznej (Dziedzina nauk medycznych i nauk o zdrowiu); Nauki o zdrowiu (Dziedzina nauk medycznych i nauk o zdrowiu). © The Authors 2022; This article is published with open access at Licensee Open Journal Systems of Nicolaus Copernicus University in Torun, Poland Open Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author (s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non commercial license Share alike. (http://creativecommons.org/licenses/by-nc-sa/4.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited. The authors declare that there is no conflict of interests regarding the publication of this paper. Received: 02.08.2022. Revised: 07.08.2022. Accepted: 26.08.2022. GREEK MEDICINE AND THE HIPPOCRATIC REVOLUTION Critical-historical approach MEDYCYNA GRECKA I REWOLUCJA HIPOKRATESA Ujęcie krytyczno-historyczne Janusz Ostrowski Centrum Medyczne Kształcenia Podyplomowego w Warszawie Abstract Greek civilization contributed a lot to the development of all areas of social life, culture, philosophy and science, including medicine. In the field of medicine, she also drew on the preceding civilizations, mainly Egyptian and Babylonian. Greek medicine, starting from the mythical Asclepius, through the already historical asclepiades, the classical, Hippocratic period with Hippocrates at the forefront, ending with the post-hippocratic period, was a transitional period to subsequent important periods in the development of medicine. The classical period contributed to the reduction of the importance of the supranaturalist factor, which was in force in asplepions in favor of recognizing natural causes considered to be the cause of diseases. Some of the principles presented by the main representative of this period, Hippocrates, especially aphorisms or the medical oath have survived to this day. Other theories underwent natural changes in later periods. Key words: Greek medicine, Hippocratic revolutio
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