scholarly journals A note on Hölder's inequality for matrix-valued measures

2017 ◽  
pp. 1183-1188
Author(s):  
Samantha Leorato
Keyword(s):  
Hölder’S Inequality ◽  
Hölder's Inequality

scholarly journals Hilbert-type inequalities for time scale nabla calculus

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
H. M. Rezk ◽  
Ghada AlNemer ◽  
H. A. Abd El-Hamid ◽  
Abdel-Haleem Abdel-Aty ◽  
Kottakkaran Sooppy Nisar ◽  
...  
Keyword(s):  
Time Scale ◽  
Hölder’S Inequality ◽  
Hölder's Inequality ◽  
Arbitrary Time ◽  
Hilbert Type

Abstract This paper deals with the derivation of some new dynamic Hilbert-type inequalities in time scale nabla calculus. In proving the results, the basic idea is to use some algebraic inequalities, Hölder’s inequality, and Jensen’s time scale inequality. This generalization allows us not only to unify all the related results that exist in the literature on an arbitrary time scale, but also to obtain new outcomes that are analytical to the results of the delta time scale calculation.

scholarly journals Some new generalizations of Hardy's integral inequality

2006 ◽  
Vol 2006 ◽  
pp. 1-15
Author(s):  
S. K. Sunanda ◽  
C. Nahak ◽  
S. Nanda
Keyword(s):  
Integral Inequality ◽  
Hölder’S Inequality ◽  
Hölder's Inequality

We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.

scholarly journals Extensions and Applications of Power-Type Aczél-Vasić-Pečarić’s Inequalities

2019 ◽  
Vol 2019 ◽  
pp. 1-8
Author(s):  
Kun Chen ◽  
Fei Yan ◽  
Hong-Ying Yue
Keyword(s):  
Hölder’S Inequality ◽  
Power Type ◽  
Hölder's Inequality

In this paper, we enrich and develop power-type Aczél-Vasić-Pečarić’s inequalities. First of all, we give some new versions of theorems and corollaries about Aczél-Vasić-Pečarić’s inequalities by quoting some lemmas. Moreover, in combination with Hölder’s inequality, we give some applications of the new version of Aczél-Vasić-Pečarić’s inequality and give its proof process.

Positive solutions of nth-order impulsive eigenvalue problems with an advanced argument

2017 ◽  
Vol 10 (04) ◽  
pp. 1750072
Author(s):  
Gaoli Lu ◽  
Meiqiang Feng
Keyword(s):  
Eigenvalue Problem ◽  
Positive Solutions ◽  
Eigenvalue Problems ◽  
Hölder’S Inequality ◽  
Transformation Technique ◽  
Hölder's Inequality ◽  
Advanced Argument

In this paper, we study a [Formula: see text]th-order impulsive eigenvalue problem with an advanced argument. We shall establish several criteria for the optimal intervals of the parameter [Formula: see text] so as to ensure existence of single or many positive solutions. Our methods are based on transformation technique, Hölder’s inequality and the eigenvalue theory.

scholarly journals Some Opial Dynamic Inequalities Involving Higher Order Derivatives on Time Scales

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Samir H. Saker
Keyword(s):  
Time Scales ◽  
Hölder’S Inequality ◽  
Higher Order ◽  
Chain Rule ◽  
Simple Consequence ◽  
Hölder's Inequality ◽  
Special Cases ◽  
Discrete Inequalities

We will prove some new Opial dynamic inequalities involving higher order derivatives on time scales. The results will be proved by making use of Hölder's inequality, a simple consequence of Keller's chain rule and Taylor monomials on time scales. Some continuous and discrete inequalities will be derived from our results as special cases.

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