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A new improvement of Hölder inequality via isotonic linear functionals [PDF]
AIMS Mathematics, 2020 In this paper, a new improvement of celebrated Hölder inequality using isotonic linear functionals is established. An important feature of the new inequality obtained here is that many existing inequalities related to the Hölder inequality can be ...
İmdat İşcan
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New refinements for integral and sum forms of Hölder inequality [PDF]
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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A Hölder-Type Inequality for the C0 Distance and Anosov–Katok Pseudo-Rotations [PDF]
International mathematics research notices, 2023 We prove a Hölder-type inequality for Hamiltonian diffeomorphisms relating the $C^0$ norm, the $C^0$ norm of the derivative, and the Hofer/spectral norm. We obtain as a consequence that sufficiently fast convergence in Hofer/spectral metric forces $C^0$
Dušan Joksimović, Sobhan Seyfaddini
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Triple Diamond-Alpha integral and Hölder-type inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we first introduce the definition of triple Diamond-Alpha integral for functions of three variables. Therefore, we present the Hölder and reverse Hölder inequalities for the triple Diamond-Alpha integral on time scales, and then we obtain ...
Jing-Feng Tian
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Extensions and demonstrations of Hölder’s inequality
Journal of Inequalities and Applications, 2019 In this paper, we present some new extensions of Hölder’s inequality and give a condition under which the equality holds. We also show that many existing inequalities related to the Hölder inequality are particular cases of the inequalities presented. At
Fei Yan, Qin Gao
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Variants of the Hölder Inequality and its Inverses [PDF]
Canadian mathematical bulletin, 1977 This paper presents variants of the Holder inequality for integrals of functions (as well as for sums of real numbers) and its inverses. In these contexts, all possible transliterations and some extensions to more than two functions are also mentioned.
Chung‐Lie Wang
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Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator [PDF]
HeliyonConvexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman +4 more
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A Generalization of Hölder Inequality
, 2000 In this paper, we generalize the well-known Holder inequality and give a condition at which the equality holds.
Xianjing Yang
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Matriceal Lebesgue spaces and Hölder inequality [PDF]
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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The sharp constant in the reverse Hölder inequality for Muckenhoupt weights [PDF]
, 2003 Coifman and Fefferman proved that the “reverse Holder inequality” is fulfilled for any weight satisfying the Muckenhoupt condition. In order to illustrate the power of the Bellman function technique, Nazarov, Volberg, and Treil showed (among other things)
Vasily Vasyunin
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