Results 21 to 30 of about 3,295 (245)

New Generalizations and Results in Shift-Invariant Subspaces of Mixed-Norm Lebesgue Spaces \({L_{\vec{p}}(\mathbb{R}^d)}\)

Mathematics, 2021
In this paper, we establish new generalizations and results in shift-invariant subspaces of mixed-norm Lebesgue spaces Lp→(Rd). We obtain a mixed-norm Hölder inequality, a mixed-norm Minkowski inequality, a mixed-norm convolution inequality, a ...
Junjian Zhao, Wei-Shih Du, Yasong Chen
doaj   +1 more source

Matriceal Lebesgue spaces and Hölder inequality

Journal of Function Spaces and Applications, 2005
We introduce a class of spaces of infinite matrices similar to the class of Lebesgue spaces Lp(T), 1≤p≤∞, and we prove matriceal versions of Hölder inequality.
Sorina Barza, Dimitri Kravvaritis, Nicolae Popa   +2 more
doaj   +1 more source

Generalizations of some q-integral inequalities of Hölder, Ostrowski and Grüss type

AIMS Mathematics, 2023
This paper investigates some well-known inequalities for $ q $-$ h $-integrals. These include Hölder, Ostrowski, Grüss and Opial type inequalities.
Da Shi , Ghulam Farid, Abd Elmotaleb A. M. A. Elamin , Wajida Akram, Abdullah A. Alahmari , B. A. Younis   +5 more
doaj   +1 more source

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
doaj   +1 more source

Triple Diamond-Alpha integral and Hölder-type inequalities

Journal of Inequalities and Applications, 2018
In this paper, we first introduce the definition of triple Diamond-Alpha integral for functions of three variables. Therefore, we present the Hölder and reverse Hölder inequalities for the triple Diamond-Alpha integral on time scales, and then we obtain ...
Jing-Feng Tian
doaj   +1 more source

Approximately two-dimensional harmonic ( p 1 , h 1 ) $(p_{1},h_{1})$ - ( p 2 , h 2 ) $(p_{2},h_{2})$ -convex functions and related integral inequalities

Journal of Inequalities and Applications, 2020
The aim of this study is to introduce the notion of two-dimensional approximately harmonic ( p 1 , h 1 ) $(p_{1},h_{1})$ - ( p 2 , h 2 ) $(p_{2},h_{2})$ -convex functions. We show that the new class covers many new and known extensions of harmonic convex
Saad Ihsan Butt, Artion Kashuri, Muhammad Nadeem, Adnan Aslam, Wei Gao   +4 more
doaj   +1 more source

Zeros for the Gradients of Weakly A-Harmonic Tensors

Journal of Applied Mathematics, 2014
The Caccioppoli inequality of weakly A-harmonic tensors has been proved, which can be used to consider the weak reverse Hölder inequality, regularity property, and zeros of weakly A-harmonic tensors.
Yuxia Tong, Jiantao Gu, Shenzhou Zheng
doaj   +1 more source

Developing evidence‐based, cost‐effective P4 cancer medicine for driving innovation in prevention, therapeutics, patient care and reducing healthcare inequalities

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, Joachim von Braun, Julio Celis, Anton Berns, Michael Baumann, Tit Albreht, Nancy Abou‐Zeid, Vanderlei Bagnato, Christian Brandts, Chien‐Jen Chen, Massimiliano di Pietro, Manjit Dosanjh, Thomas Dubois, Alexander Eggermont, Angelika Eggert, Ingemar Ernberg, Sara Faithfull, Johannes Förner, Stefan Fröhling, Manuel Heitor, Leroy Hood, Wei Jiang, Bengt Jönsson, Ravi Kannan, Maria Leptin, Su Li, Peter Lindgren, Douglas Lowy, Jun Ma, Alex Markham, Péter Nagy, Simon Oberst, M. Iqbal Parker, Danielle Rodin, Kevin Ryan, Joachim Schüz, Richard Sullivan, Josep Tabernero, Peter Turkson, Oliver Várhelyi, Harold Varmus, Chijie Wang, Elisabete Weiderpass, Nils Wilking   +43 more
wiley   +1 more source

Conjugate functions, L^{p}-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity [PDF]

Opuscula Mathematica, 2014
For \(h:(0,\infty )\rightarrow \mathbb{R}\), the function \(h^{\ast }\left( t\right) :=th(\frac{1}{t})\) is called \((\ast)\)-conjugate to \(h\). This conjugacy is related to the Hölder and Minkowski inequalities.
Janusz Matkowski
doaj   +1 more source

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
wiley   +1 more source