Results 31 to 40 of about 15,768 (236)
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
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Interpolation between H\" older and Lebesgue spaces with applications
, 2018 Classical interpolation inequality of the type $\|u\|_{X}\leq C\|u\|_{Y}^{\theta}\|u\|_{Z}^{1-\theta}$ is well known in the case when $X$, $Y$, $Z$ are Lebesgue spaces. In this paper we show that this result may be extended by replacing norms $\|\cdot\|_{
Molchanova, Anastasia +2 more
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New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals
Cumhuriyet Science Journal, 2023 In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity.
Ayşe Nur Altunok, Tuba Tunç
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Confirmation of Lagrange Hypothesis for Twisted Elastic Rod
, 2011 The history of structural optimization as an exact science begins possibly with the celebrated Lagrange problem: to find a curve which by its revolution about an axis in its plane determines the rod of greatest efficiency.
GH Hardy +6 more
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
New refinement of the Jensen inequality associated to certain functions with applications
Journal of Inequalities and Applications, 2020 This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory.
Muhammad Adil Khan +2 more
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Sharp inequalities for one-sided Muckenhoupt weights
, 2016 Let $A_\infty ^+$ denote the class of one-sided Muckenhoupt weights, namely all the weights $w$ for which $\mathsf M^+:L^p(w)\to L^{p,\infty}(w)$ for some $p>1$, where $\mathsf M^+$ is the forward Hardy-Littlewood maximal operator.
Hagelstein, Paul A. +2 more
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A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
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Hölder Continuity of a Parametric Generalized Variational Inequality
Abstract and Applied Analysis, 2014 By using the classic metric projection method, we obtain sufficient conditions for Hölder continuity of the nonunique solution mapping for a parametric generalized variational inequality with respect to data perturbation. The result is different from the
Li-na Wang, Xiao-bing Li
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Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges
Advanced Functional Materials, EarlyView.Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
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