Results 21 to 30 of about 478,319 (244)

Advancements in Convex Analysis Through Inverse Cosine Function with Applications [PDF]

Sahand Communications in Mathematical Analysis
In this article, we introduce a new class of convex functions called $\alpha$-inverse cosine convex functions ($\alpha$-ICCF), which extends the traditional classes.
Atika Imran, Muhammad Samraiz, Saima Naheed   +2 more
doaj   +1 more source

Generalized matrix version of reverse Hölder inequality [PDF]

, 2011
A generalized matrix version of reverse Cauchy–Schwarz/Hölder inequality is proved.
Mandeep Singh, Rupinderjit Kaur, Jaspal Singh Aujla, Singh, Mandeep, Singh Aujla, Jaspal, Kaur, Rupinderjit   +5 more
core   +1 more source

Sharp reverse Hölder inequality for Cp weights and applications [PDF]

, 2020
We prove an appropriate sharp quantitative reverse Hölder inequality for the $C_p$ class of weights fromwhich we obtain as a limiting case the sharp reverse Hölder inequality for the $A_\infty$ class of weights (Hytönen in Anal PDE 6:777–818, 2013 ...
Canto, J.
core   +1 more source

On an inverse to the Hölder inequality

International Journal of Mathematics and Mathematical Sciences, 1997
An extension is given for the inverse to Hölder's inequality obtained recently by Zhuang.
J. Pecaric, C. E. M. Pearce
doaj   +1 more source

Approximately two-dimensional harmonic ( p 1 , h 1 ) $(p_{1},h_{1})$ - ( p 2 , h 2 ) $(p_{2},h_{2})$ -convex functions and related integral inequalities

Journal of Inequalities and Applications, 2020
The aim of this study is to introduce the notion of two-dimensional approximately harmonic ( p 1 , h 1 ) $(p_{1},h_{1})$ - ( p 2 , h 2 ) $(p_{2},h_{2})$ -convex functions. We show that the new class covers many new and known extensions of harmonic convex
Saad Ihsan Butt, Artion Kashuri, Muhammad Nadeem, Adnan Aslam, Wei Gao   +4 more
doaj   +1 more source

Triple Diamond-Alpha integral and Hölder-type inequalities

Journal of Inequalities and Applications, 2018
In this paper, we first introduce the definition of triple Diamond-Alpha integral for functions of three variables. Therefore, we present the Hölder and reverse Hölder inequalities for the triple Diamond-Alpha integral on time scales, and then we obtain ...
Jing-Feng Tian
doaj   +1 more source

Zeros for the Gradients of Weakly A-Harmonic Tensors

Journal of Applied Mathematics, 2014
The Caccioppoli inequality of weakly A-harmonic tensors has been proved, which can be used to consider the weak reverse Hölder inequality, regularity property, and zeros of weakly A-harmonic tensors.
Yuxia Tong, Jiantao Gu, Shenzhou Zheng
doaj   +1 more source

Conjugate functions, L^{p}-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity [PDF]

Opuscula Mathematica, 2014
For \(h:(0,\infty )\rightarrow \mathbb{R}\), the function \(h^{\ast }\left( t\right) :=th(\frac{1}{t})\) is called \((\ast)\)-conjugate to \(h\). This conjugacy is related to the Hölder and Minkowski inequalities.
Janusz Matkowski
doaj   +1 more source

On the refinements of some important inequalities via ( p , q ) $(p,q)$ -calculus and their applications

Journal of Inequalities and Applications, 2021
We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
doaj   +1 more source

New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals

Cumhuriyet Science Journal, 2023
In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity.
Ayşe Nur Altunok, Tuba Tunç
doaj   +1 more source