Results 21 to 30 of about 3,710 (260)

New midpoint type Hermite-Hadamard-Mercer inequalities pertaining to Caputo-Fabrizio fractional operators

Alexandria Engineering Journal, 2023
The objective of the current article is to incorporate the concepts of convexity and Jensen-Mercer inequality with the Caputo-Fabrizio fractional integral operator.
Soubhagya Kumar Sahoo, Y.S. Hamed, Pshtiwan Othman Mohammed, Bibhakar Kodamasingh, Kamsing Nonlaopon   +4 more
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Lower bound estimates of blow-up time for a quasilinear hyperbolic equation with superlinear sources

Comptes Rendus. Mécanique, 2020
This paper deals with the lower bound for blow-up solutions to a quasilinear hyperbolic equation with strong damping. An inverse Hölder inequality with a correction constant is employed to overcome the difficulty caused by the failure of the embedding ...
Zu, Ge, Li, Fang
doaj   +1 more source

Sharp reverse Hölder inequality for Cp weights and applications [PDF]

, 2020
We prove an appropriate sharp quantitative reverse Hölder inequality for the $C_p$ class of weights fromwhich we obtain as a limiting case the sharp reverse Hölder inequality for the $A_\infty$ class of weights (Hytönen in Anal PDE 6:777–818, 2013 ...
Canto, J.
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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
doaj   +1 more source

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.
doaj   +1 more source

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
doaj   +1 more source

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

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
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

On reverse Hölder and Minkowski inequalities [PDF]

, 2020
In the paper, we give new improvements of the reverse Hölder and Minkowski integral inequalities. These new results in special case yield the Pólya-Szegö’s inequality and reverse Minkowski’s inequality, respectively ...
Cheung, WS, Zhao, CJ
core   +1 more source