Sharp bounds for finitely many embedded eigenvalues of perturbed Stark type operators
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DOI: 10.1002/mana.201800517
Abstract: For perturbed Stark operators $Hu=-u^{\prime\prime}-xu+qu$, the author has proved that $\limsup_{x\to \infty}{x}^{\frac{1}{2}}|q(x)|$ must be larger than $\frac{1}{\sqrt{2}}N^{\frac{1}{2}}$ in order to create $N$ linearly independent eigensolutions in $L^2(\mathbb{R}^+)$. In this paper, we apply generalized Wigner-von Neumann… read more here.
Keywords: sharp bounds; perturbed stark; finitely many; embedded eigenvalues ... See more keywords
Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions
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DOI: 10.1002/mana.202000196
Abstract: We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex‐valued potentials in dimensions one, two and three. read more here.
Keywords: bounds eigenvalues; operators complex; eigenvalues biharmonic; complex potentials ... See more keywords
Sharp bounds for the Lambert W function
Sign Up to like & getrecommendations! Published in 2018 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2018.1528247
Abstract: ABSTRACT In this paper, sharp lower and upper bounds for the branch of Lambert W function are provided by means of functional analysis methods and monotonicity properties. read more here.
Keywords: lambert function; function; sharp bounds; bounds lambert ... See more keywords
Sharp Bounds of Local Fractional Metric Dimensions of Connected Networks
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DOI: 10.1109/access.2020.3025018
Abstract: Metric dimension is a distance based parameter which is used to determine the locations of machines (or robots) with respect to minimum consumption of time, shortest distance among the destinations and lesser number of the… read more here.
Keywords: fractional metric; bounds local; metric dimensions; local fractional ... See more keywords
Sharp Bounds for Mutual Covering
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DOI: 10.1109/tit.2019.2919720
Abstract: A fundamental tool in network information theory is the covering lemma, which lower bounds the probability that there exists a pair of random variables; among a given number of independently generated candidates, falling within a… read more here.
Keywords: covering lemma; mutual covering; joint distribution; probability ... See more keywords
Sharp bounds on the relative treatment effect for ordinal outcomes.
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DOI: 10.1111/biom.13148
Abstract: For ordinal outcomes, the average treatment effect is often ill-defined and hard to interpret. Echoing Agresti and Kateri, we argue that the relative treatment effect can be a useful measure, especially for ordinal outcomes, which… read more here.
Keywords: sharp bounds; ordinal outcomes; treatment; relative treatment ... See more keywords
Sharp $L^p$-bounds for the martingale maximal function
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DOI: 10.2748/tmj/1520564421
Abstract: The paper studies sharp weighted L inequalities for the martingale maximal function. Proofs exploit properties of certain special functions of four variables and self-improving properties of Ap weights. read more here.
Keywords: sharp bounds; maximal function; bounds martingale; martingale maximal ... See more keywords
Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions
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DOI: 10.3390/axioms11080369
Abstract: The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to… read more here.
Keywords: logarithmic coefficients; bounds second; hankel determinant; sharp bounds ... See more keywords
Sharp bounds for Sándor-Yang means in terms of quadratic mean
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DOI: 10.7153/jmi-2018-12-87
Abstract: In the article, we find the best possible parameters α , β , λ , μ ∈ (1/2,1) such that the double inequalities Q[αa+(1−α)b,αb+(1−α)a] < RQA(a,b) < Q[βa+(1−β)b,βb+(1−β)a], Q[λa+(1−λ)b,λb+(1−λ)a] < RAQ(a,b) < Q[μa+(1−μ)b,μb+(1−μ)a] hold for… read more here.
Keywords: sharp bounds; quadratic mean; yang means; means terms ... See more keywords
Sharp bounds on the sinc function via the Fourier series method
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DOI: 10.7153/jmi-2019-13-33
Abstract: In this paper we provide sharp bounds on the sinc function using the Fourier series method. Refinements of some remarkable trigonometric inequalities involving sinc function are given as well. Mathematics subject classification (2010): 41A21, 42B05,… read more here.
Keywords: sharp bounds; sinc function; series method; bounds sinc ... See more keywords