Results 21 to 30 of about 891 (278)
On Logarithmic Convexity for Differences of Power Means
Journal of Inequalities and Applications, 2008 We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained.
Slavko Simic
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Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space
Journal of Function Spaces and Applications, 2013 Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.
Guang-Sheng Chen
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Some Dynamic Inequalities of Hilbert’s Type
Journal of Function Spaces, 2020 This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of
A. M. Ahmed +3 more
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On Gaussian Brunn-Minkowski inequalities [PDF]
, 2008 In this paper, we are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrard inequality for $m$ Borel or convex sets based on a previous work by Borell. Our method also
Barthe, Franck, Huet, Nolwen
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On an inverse to the Hölder inequality
International Journal of Mathematics and Mathematical Sciences, 1997 An extension is given for the inverse to Hölder's inequality obtained recently by Zhuang.
J. Pecaric, C. E. M. Pearce
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Extensions and demonstrations of Hölder’s inequality
Journal of Inequalities and Applications, 2019 In this paper, we present some new extensions of Hölder’s inequality and give a condition under which the equality holds. We also show that many existing inequalities related to the Hölder inequality are particular cases of the inequalities presented. At
Fei Yan, Qin Gao
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Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions
Journal of Function SpacesIn this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established.
Shanhe Wu
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Reconciliation of discrete and continuous versions of some dynamic inequalities synthesized on time scale calculus [PDF]
, 2020 summary:The aim of this paper is to synthesize discrete and continuous versions of some dynamic inequalities such as Radon's Inequality, Bergström's Inequality, Schlömilch's Inequality and Rogers-Hölder's Inequality on time scales in comprehensive ...
Sahir, Muhammad Jibril Shahab
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Molecular Oncology, EarlyView.The cancer problem is increasing globally with projections up to the year 2050 showing unfavourable outcomes in terms of incidence and cancer‐related deaths. The main challenges are prevention, improved therapeutics resulting in increased cure rates and enhanced health‐related quality of life.
Ulrik Ringborg +43 more
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Applying an Ethical Lens to the Treatment of People With Multiple Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT The practice of neurology requires an understanding of clinical ethics for decision‐making. In multiple sclerosis (MS) care, there are a wide range of ethical considerations that may arise. These involve shared decision‐making around selection of a disease‐modifying therapy (DMT), risks and benefits of well‐studied medications in comparison to
Methma Udawatta, Farrah J. Mateen
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