Results 11 to 20 of about 891 (278)

Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space

open access: yesAbstract 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   +1 more source

Generalizations of Ostrowski type inequalities via F-convexity

open access: yesAIMS Mathematics, 2022
The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions.
Alper Ekinci   +3 more
doaj   +1 more source

Generalizations and refinements of three-tuple Diamond-Alpha integral Hölder’s inequality on time scales

open access: yesJournal 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
doaj   +1 more source

Some new generalizations of Hardy's integral inequality

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.
S. K. Sunanda, C. Nahak, S. Nanda
doaj   +1 more source

Generalizations of Hölder's inequality

open access: yesInternational 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   +1 more source

Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces [PDF]

open access: yes, 2014
We introduce a new notion called fractional stochastic nonlocal condition, and then we study approximate controllability of class of fractional stochastic nonlinear differential equations of Sobolev type in Hilbert spaces.
Baleanu, Dumitru   +2 more
core   +2 more sources

Refinements of Hardy-Type Inequalities

open access: yesAbstract and Applied Analysis, 2013
Using Hu Ke's inequality, which is a sharped Hölder's inequality, we present some new refinements of Hardy-type inequalities proposed by Imoru.
Jingfeng Tian, Yang-Xiu Zhou
doaj   +1 more source

Relating phase field and sharp interface approaches to structural topology optimization [PDF]

open access: yes, 2013
A phase field approach for structural topology optimization which allows for topology changes and multiple materials is analyzed. First order optimality conditions are rigorously derived and it is shown via formally matched ...
Harald Garcke   +4 more
core   +4 more sources

Refinements of Generalized Hölder’s Inequalities

open access: yesJournal of Applied Mathematics, 2014
We present some new versions of generalized Hölder’s inequalities. The results are used to improve Minkowski’s inequality and a Beckenbach-type inequality.
Jingfeng Tian   +2 more
doaj   +1 more source

A New Refinement of Generalized Hölder’s Inequality and Its Application

open access: yesJournal 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   +1 more source

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