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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+4 more
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Steady flows of an incompressible homogeneous chemically reacting fluid are described by a coupled system, consisting of the generalized Navier--Stokes equations and convection - diffusion equation with diffusivity dependent on the concentration and the ...
Abbatiello, Anna+2 more
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Generalizations of Hölder inequality and some related results on time scales
In this paper, we establish some generalizations and refinements of the Hölder inequality on time scales via the diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals.
Guangsheng Chen+2 more
semanticscholar +1 more source
Sharp inequalities for one-sided Muckenhoupt weights
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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The diamond integral reverse Hölder inequality and related results on time scales
In this paper, we establish reverse Hölder’s inequality on time scales via diamond integral, which is defined as an ‘approximate’ symmetric integral on time scales.
Guangsheng Chen, Cheng-Dong Wei
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Zeros for the Gradients of Weakly A-Harmonic Tensors
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
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A Fatou theorem for $F$-harmonic functions
In this paper we study a class of functions that appear naturally in some equidistribution problems and that we call $F$-harmonic. These are functions of the universal cover of a closed and negatively curved which possess an integral representation ...
Alvarez, Sébastien
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The Hölder Inequality for KMS States [PDF]
We prove a Hölder inequality for KMS States, which generalise a well-known trace-inequality. Our results are based on the theory of non-commutative Lp-spaces.
C. Jäkel, Florian Robl
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
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
We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
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