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 Certain Properties of the Modified Degenerate Gamma Function

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Kwara Nantomah
Keyword(s):  
Gamma Function ◽  
Hölder’S Inequality ◽  
Mean Value ◽  
Mean Value Theorem ◽  
Young’S Inequality ◽  
Hölder's Inequality ◽  
Hadamard’S Inequality ◽  
Parameter Variations ◽  
Young's Inequality

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. By some parameter variations, the established results reduce to the corresponding results for the classical gamma function.

scholarly journals Jessen's functional, its properties and applications

2012 ◽  
Vol 20 (1) ◽  
pp. 225-248
Author(s):  
Neda Lovričević ◽  
Josip Pečarić ◽  
Mario Krnić
Keyword(s):  
Linear Functional ◽  
Geometric Mean ◽  
Hölder’S Inequality ◽  
Young’S Inequality ◽  
Hölder's Inequality ◽  
Power Means ◽  
Young's Inequality

AbstractIn this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results, known from the literature. In particular, we obtain the whole series of refinements and converses of numerous classical inequalities such as the arithmetic-geometric mean inequality, Young's inequality and 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 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.

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