Results 31 to 40 of about 15,446 (259)
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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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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Flows driven by Banach space-valued rough paths [PDF]
, 2013 We show in this note how the machinery of C^1-approximate flows devised in the work "Flows driven by rough paths", and applied there to reprove and extend most of the results on Banach space-valued rough differential equations driven by a finite ...
A. Deya +13 more
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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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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 +2 more
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Weak observability estimates for 1-D wave equations with rough coefficients [PDF]
, 2013 In this paper we prove observability estimates for 1-dimensional wave equations with non-Lipschitz coefficients. For coefficients in the Zygmund class we prove a "classical" observability estimate, which extends the well-known observability results in ...
Fanelli, Francesco, Zuazua, Enrique
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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 +5 more
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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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