Results 21 to 30 of about 466,326 (231)

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

Journal 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

A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications

Journal of Function Spaces, 2022
In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means.
Zaid Mohammed Mohammed Mahdi Sayed, Muhammad Adil Khan, Shahid Khan, Josip Pečarić   +3 more
doaj   +1 more source

Generalized Hölder Inequality in Herz-Morrey Spaces with Variable Exponent

Science and Technology Indonesia
The paper investigates the conditions for the generalized Hölder’s inequality with a variable exponent in Herz-Morrey spaces. The main results are based on the exponent functions p(·) and α(·) .
Hairur Rahman, Corina Karim
doaj   +1 more source

On Logarithmic Convexity for Differences of Power Means

Journal of Inequalities and Applications, 2008
We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained.
Slavko Simic
doaj   +1 more source

Some Dynamic Inequalities of Hilbert’s Type

Journal of Function Spaces, 2020
This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of
A. M. Ahmed, Ghada AlNemer, M. Zakarya, H. M. Rezk   +3 more
doaj   +1 more source

Extensions and demonstrations of Hölder’s inequality

Journal of Inequalities and Applications, 2019
In this paper, we present some new extensions of Hölder’s inequality and give a condition under which the equality holds. We also show that many existing inequalities related to the Hölder inequality are particular cases of the inequalities presented. At
Fei Yan, Qin Gao
doaj   +1 more source

A stability version of Hölder's inequality for 0 < p < 1 [PDF]

, 2008
We use a refinement of Holder's inequality for 1 < p < to obtain the corresponding refinement when r (0,1). This in turn allows us to sharpen the reverse triangle inequality on the nonnegative functions in Lr, for r (0, 1).
Aldaz, J.M.
core   +1 more source

Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions

Journal of Function Spaces
In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established.
Shanhe Wu
doaj   +1 more source

Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space

Journal of Function Spaces and Applications, 2013
Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.
Guang-Sheng Chen
doaj   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source