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Novel versions of Hölder's-Like and related inequalities with newly defined LP space, and their applications over fuzzy domain [PDF]
HeliyonIt is widely recognized that fuzzy number theory relies on the characteristic function. However, within the fuzzy realm, the characteristic function transforms into a membership function contingent upon the interval [0,1].
Xiangting Shi +4 more
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Advances in Ostrowski-Mercer Like Inequalities within Fractal Space
Fractal and Fractional, 2023 The main idea of the current investigation is to explore some new aspects of Ostrowski’s type integral inequalities implementing the generalized Jensen–Mercer inequality established for generalized s-convexity in fractal space.
Miguel Vivas-Cortez +4 more
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Upper tails and independence polynomials in random graphs [PDF]
, 2017 The upper tail problem in the Erd\H{o}s--R\'enyi random graph $G\sim\mathcal{G}_{n,p}$ asks to estimate the probability that the number of copies of a graph $H$ in $G$ exceeds its expectation by a factor $1+\delta$.
Bhattacharya, Bhaswar B. +3 more
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Certain Properties of the Modified Degenerate Gamma Function
Journal of Mathematics, 2021 In this paper, we prove some inequalities satisfied by the modified degenerate gamma function which was recently introduced. The tools employed include Holder’s inequality, mean value theorem, Hermite–Hadamard’s inequality, and Young’s inequality.
Kwara Nantomah
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Generalizations of Shannon type inequalities via diamond integrals on time scales
Journal of Inequalities and Applications, 2023 The paper generalizes Shannon-type inequalities for diamond integrals. It includes two-dimensional Hölder’s inequality and Cauchy–Schwartz’s inequality, which help to prove weighted Grüss’s inequality for diamond integrals.
Muhammad Bilal +3 more
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Multidimensional potential Burgers turbulence [PDF]
, 2015 We consider the multidimensional generalised stochastic Burgers equation in the space-periodic setting: $ \partial \mathbf{u}/\partial t+$ $(\nabla f(\mathbf{u}) \cdot \nabla)$ $\mathbf{u} -\nu \Delta \mathbf{u}=$ $\nabla \eta,\quad t \geq 0,\ \mathbf ...
Boritchev, Alexandre
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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
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A New Reversed Version of a Generalized Sharp Hölder's Inequality and Its Applications
Abstract and Applied Analysis, 2013 We present a new reversed version of a generalized sharp Hölder's inequality which is due to Wu and then give a new refinement of Hölder's inequality. Moreover, the obtained result is used to improve the well-known Popoviciu-Vasić inequality.
Jingfeng Tian, Xi-Mei Hu
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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
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Journal of Inequalities and Applications, 2019 In this paper, based on the existing Hölder’s inequality, some new three-tuple diamond-alpha integral Hölder’s inequalities on time scales are proposed and the related theorems and corollaries are given.
Fei Yan, Jianfeng Wang
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