Results 281 to 290 of about 756,055 (325)

AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES

Fractals, 2021
The purpose of this work is to investigate some inequalities for generalized [Formula: see text]-convexity on fractal sets [Formula: see text], which are associated with Simpson-like inequalities. To this end, an improved version of Hölder inequality and
C. Luo, Yuping Yu, T. Du
semanticscholar   +1 more source

A Communicating-Vessels Proof of Hölder’s Inequality

The American mathematical monthly, 2021
Hölder’s inequality receives a variety of proofs in the literature. This note gives a new derivation, interpreting the inequality as the tendency of still water to settle in the lowest potential energy.
M. Levi, T. Tokieda
semanticscholar   +1 more source

A Weak Reverse Hölder Inequality for Caloric Measure

Journal of Geometric Analysis, 2018
Following a result of Bennewitz–Lewis for non-doubling harmonic measure, we prove a criterion for non-doubling caloric measure to satisfy a weak reverse Hölder inequality on an open set $$\Omega \subset \mathbb {R}^{n+1}$$ Ω ⊂ R n + 1 , assuming as a ...
Alyssa Genschaw, S. Hofmann
semanticscholar   +1 more source

Some applications of the Hölder inequality for mixed sums

, 2015
We use the Hölder inequality for mixed exponents to prove some optimal variants of the generalized Hardy–Littlewood inequality for m-linear forms on $$\ell _{p}$$ℓp spaces with mixed exponents. Our results extend recent results of Araujo et al.
N. Albuquerque   +4 more
semanticscholar   +1 more source

More on reverse of Holder's integral inequality

, 2020
In 2012, Sulaiman [7] proved integral inequalities concerning reverse of Holder's. In this paper two results are given. First one is further improvement of the reverse H\"{o}lder inequality.
Bouharket Benaissa, H. Budak
semanticscholar   +1 more source

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