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Weighted Nikol'skiĭ-type inequalities. II.

Publicationes Mathematicae Debrecen, 1996
It is proved that the weighted Nikolskiǐ-type inequality \[ |p_nw_\alpha|_p\leq cN_n(m,p,q)|p_nw_\alpha|_q\tag{1} \] where \[ w_\alpha(x)=|x|^{\alpha/2}\exp(-|x|^m)\;\;(x \in R), \;\alpha \geq 0 \;\;m>0, \] and \[ N_n(m,p,q)=\begin{cases} n^{(1/m)(1/p-1/q)} &\text{ if \(p\leq q\)},\\ n^{(1-1/m)(1/q-1/p)} &\text{ if \(p>q\) and \(m>1\)},\\ (\log(n+1 ...
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Weighted Steffensen's inequality

2020
Since its invention in 1918, Steffensen’s inequality is generalized in numerous directions under various settings. This book collects its most recent advances in generalizations. Under the vast diversities, in this book, Steffensen’s inequality is connected with the following notions: convex functions, higher order convexity, exponential convexity, h ...
Jakšetić, Julije, Pečarić, Josip, Perušić Pribanić, Anamarija, Smoljak Kalamir, Ksenija   +3 more
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Reverse Minkowski Inequalities Pertaining to New Weighted Generalized Fractional Integral Operators

Fractal and Fractional, 2022
Rozana Liko, Pshtiwan Mohammed, Artion Kashuri   +2 more
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Reducing Social Inequalities in Cancer: Setting Priorities for Research

Ca-A Cancer Journal for Clinicians, 2018
Salvatore Vaccarella, Joannie Lortet-Tieulent, Diana Sarfati   +2 more
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Exponential stability of time-delay systems via new weighted integral inequalities

Applied Mathematics and Computation, 2016
Le Van Hien, Hieu M Trinh
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Weighted inequalities for multilinear fractional integral operators

Collectanea Mathematica, 2009
Kabe Moen
exaly  

Weighted Hardy inequality

Suppose f, U and V are nonnegative measurable functions on (0,\(\infty)\), and \(\phi\) (x) is a nonnegative, continuous and monotonic function on (0,\(\infty)\). We define operators \(P_{\phi}\) and \(Q_{\phi}\) by \((1)\quad P_{\phi}f(x)=\phi (x)\int^{x}_{0}f(t)dt\) and \(Q_{\phi}f(x)=\phi (x)\int^{\infty}_{x}f(t)dt.\) Moreover, throughout the paper,
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Weighted Polynomial Inequalities with Doubling and A ∞ Weights

Constructive Approximation, 2000
Giuseppe Mastroianni
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Sharp weighted Trudinger–Moser and Caffarelli–Kohn–Nirenberg inequalities and their extremal functions

Nonlinear Analysis: Theory, Methods & Applications, 2018
Nguyen Lam, Guozhen Lu
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Finite-Time Passivity-Based Stability Criteria for Delayed Discrete-Time Neural Networks via New Weighted Summation Inequalities

IEEE Transactions on Neural Networks and Learning Systems, 2019
Ramasamy Saravanakumar, Sreten B Stojanovic, Choon K Ahn   +2 more
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