Results 11 to 20 of about 15,768 (236)

Regularity estimates for fractional orthotropic p-Laplacians of mixed order

Advances in Nonlinear Analysis, 2022
We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
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Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms

Advanced Nonlinear Studies, 2023
We establish the Caccioppoli inequality, a reverse Hölder inequality in the spirit of the classic estimate of Meyers, and construct the fundamental solution for linear elliptic differential equations of order 2m2m with certain lower order terms.
Barton Ariel E., Duffy Michael J.
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New refinements for integral and sum forms of Hölder inequality

Journal of Inequalities and Applications, 2019
In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application.
İmdat İşcan
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Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means

Advances in Difference Equations, 2021
In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
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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
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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
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A note on the Fourier transform in Hölder spaces [PDF]

, 2016
En este artículo, se estudia la acotación de la transformada periódica de Fourier desde espacios de Lebesgue a Espacios Hölder. Par- ticularmente, se generaliza un resultado clásico de Bernstein.
Cardona Sanchez, Duvan
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Advancements in Convex Analysis Through Inverse Cosine Function with Applications [PDF]

Sahand Communications in Mathematical Analysis
In this article, we introduce a new class of convex functions called $\alpha$-inverse cosine convex functions ($\alpha$-ICCF), which extends the traditional classes.
Atika Imran, Muhammad Samraiz, Saima Naheed   +2 more
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On the Minkowski-H\"{o}lder type inequalities for generalized Sugeno integrals with an application [PDF]

, 2015
In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-H\"{o}lder type inequality for the generalized upper Sugeno integral in the case of functions belonging to a wider class than ...
Boczek, Michał, Kaluszka, Marek
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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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