Results 11 to 20 of about 780,579 (248)
Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
Abstract and Applied Analysis, 2014 We establish some new generalizations and refinements of the local fractional integral Hölder’s inequality and some related results on fractal space.
Guang-Sheng Chen +3 more
doaj +2 more sources
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
doaj +2 more sources
Generalizations of Hölder's inequality
International Journal of Mathematics and Mathematical Sciences, 2001 Some generalized Hölder's inequalities for positive as well as negative exponents are obtained.
Wing-Sum Cheung
doaj +2 more sources
A New Refinement of Generalized Hölder’s Inequality and Its Application
Journal of Function Spaces and Applications, 2013 We present a new refinement of generalized Hölder’s inequality due to Vasić and Pečarić. Moreover, the obtained result is used to improve Beckenbach-type inequality due to Wang.
Jingfeng Tian
doaj +2 more sources
A Direct Link between Rényi-Tsallis Entropy and Hölder's Inequality-Yet Another Proof of Rényi-Tsallis Entropy Maximization. [PDF]
Entropy (Basel), 2019 The well-known Hölder’s inequality has been recently utilized as an essential tool for solving several optimization problems. However, such an essential role of Hölder’s inequality does not seem to have been reported in the context of generalized entropy,
Tanaka HA, Nakagawa M, Oohama Y.
europepmc +2 more sources
Hölder's inequality and its reverse—A probabilistic point of view [PDF]
Mathematische Nachrichten, 2022 In this article, we take a probabilistic look at Hölder's inequality, considering the ratio of terms in the classical Hölder inequality for random vectors in Rn$\mathbb {R}^n$ .
Lorenz Frühwirth, J. Prochno
semanticscholar +1 more source
More on Hölder's Inequality and It's Reverse via the Diamond-Alpha Integral
Symmetry, 2020 In this paper, we investigate some new generalizations and refinements for Hölder’s inequality and it’s reverse on time scales through the diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals, which are ...
M. Zakarya +3 more
semanticscholar +1 more source
Holder's inequality for roots of symmetric operator spaces [PDF]
, 2015 We prove a version of Holder's inequality with a constant for p-th roots of symmetric operator spaces of operators affiliated to a semifinite von Neumann algebra factor, and with constant equal to 1 for strongly symmetric operator spaces.
K. Dykema, A. Skripka
semanticscholar +1 more source
Extensions of Hölder’s Inequality via Pseudo-Integral
Mathematical Problems in Engineering, 2018 Hölder’s inequality and its various extensions are playing very important roles in many branches of modern mathematics and physics. In this paper, we present some extensions of Hölder’s inequality via pseudo-integral.
Jing-feng Tian, M. Ha
semanticscholar +1 more source
Local Central Limit Theorem for diffusions in a degenerate and unbounded Random Medium [PDF]
, 2015 We study a symmetric diffusion $X$ on $\mathbb{R}^d$ in divergence form in a stationary and ergodic environment, with measurable unbounded and degenerate coefficients.
Chiarini, Alberto +1 more
core +2 more sources