Hölder’s Inequality, Minkowski’s Inequality and Their Variants

Inequalities ◽  
2012 ◽  
pp. 95-105 ◽  
Author(s):  
Zdravko Cvetkovski
Keyword(s):  
Hölder’S Inequality ◽  
Minkowski’S Inequality ◽  
Hölder's Inequality

scholarly journals On Lp Space Formed by Real-Valued Partial Functions

2010 ◽  
Vol 18 (3) ◽  
pp. 159-169
Author(s):  
Yasushige Watase ◽  
Noboru Endou ◽  
Yasunari Shidama
Keyword(s):  
Banach Space ◽  
Hölder’S Inequality ◽  
Minkowski’S Inequality ◽  
Partial Functions ◽  
Lp Space ◽  
Hölder's Inequality ◽  
Absolute Value ◽  
Integrable Functions

On Lp Space Formed by Real-Valued Partial Functions This article is the continuation of [31]. We define the set of Lp integrable functions - the set of all partial functions whose absolute value raised to the p-th power is integrable. We show that Lp integrable functions form the Lp space. We also prove Minkowski's inequality, Hölder's inequality and that Lp space is Banach space ([15], [27]).

scholarly journals On Some Inequalities for the Chaudhry-Zubair Extension of the Gamma Function

2019 ◽  
pp. 1-9
Author(s):  
Monica Atogpelge Atugba ◽  
Kwara Nantomah
Keyword(s):  
Gamma Function ◽  
Hölder’S Inequality ◽  
Minkowski’S Inequality ◽  
Young’S Inequality ◽  
Hölder's Inequality ◽  
Analytical Tools ◽  
Young's Inequality

By applying the classical Holder's inequality, Young's inequality, Minkowski's inequality and some other analytical tools, we establish some inequalities involving the Chaudhry-Zubair extension of the gamma function. The established results serve as generalizations of some known results in the literature.

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.

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