LAUSR

The Turán-Type Inequality in the Space L0 on the Unit Interval

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1 Published in 2021 at "Analysis Mathematica"

DOI: 10.1007/s10476-021-0097-3

Abstract: Let P(x) be an arbitrary algebraic polynomial of degree n with all zeros in the unit interval −1 ≤ x ≤ 1. We establish the Turan-type inequality ‖P″‖0 ≥ n(e/4)‖P‖0, where $${\left\| f \right\|_0} =… read more here.

Keywords: tur type; inequality; type inequality; unit interval ... See more keywords

Sharp Bohr type inequality

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0 Published in 2020 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2020.124147

Abstract: This article is devoted to the sharp improvement of the classical Bohr inequality for bounded analytic functions defined on the unit disk. We also prove two other sharp versions of the Bohr inequality by replacing… read more here.

Keywords: sharp bohr; type inequality; bohr type; inequality ... See more keywords

A von Neumann type inequality for an annulus

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3 Published in 2022 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.125714

Abstract: Let Ar = {r < |z| < 1} be an annulus. We consider the class of operators Fr := {T ∈ B(H) : rT(T) + TT ∗ ≤ r2 + 1, σ(T ) ⊂ Ar}… read more here.

Keywords: type inequality; neumann type; inequality annulus; von neumann ... See more keywords

POSITIVE CENTRE SETS OF CONVEX CURVES AND A BONNESEN TYPE INEQUALITY

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0 Published in 2018 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s0004972718001284

Abstract: We consider the positive centre sets of regular $n$ -gons, rectangles and half discs, and conjecture a Bonnesen type inequality concerning positive centre sets which is stronger than the classical isoperimetric inequality. read more here.

Keywords: positive centre; type inequality; bonnesen type; centre sets ... See more keywords

On the property of multivariate generalized hyperbolic distribution and the Stein-type inequality

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0 Published in 2018 at "Communications in Statistics - Theory and Methods"

DOI: 10.1080/03610926.2017.1390134

Abstract: ABSTRACT This note consists of two parts . In the first part, we provide a pedagogic review on the multivariate generalized hyperbolic (MGH) distribution. We show that this probability family is close under margining, conditioning,… read more here.

Keywords: multivariate generalized; type inequality; stein type; generalized hyperbolic ... See more keywords

A Hölder-Type Inequality for the C0 Distance and Anosov–Katok Pseudo-Rotations

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2 Published in 2022 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnad103

Abstract: We prove a Hölder-type inequality for Hamiltonian diffeomorphisms relating the $C^0$ norm, the $C^0$ norm of the derivative, and the Hofer/spectral norm. We obtain as a consequence that sufficiently fast convergence in Hofer/spectral metric forces… read more here.

Keywords: pseudo rotations; anosov katok; lder type; type inequality ... See more keywords

A WEIGHTED MAXIMAL WEAK‐TYPE INEQUALITY

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0 Published in 2020 at "Mathematika"

DOI: 10.1112/mtk.12065

Abstract: Let w be a dyadic Ap weight (1 ≤ p < ∞) and let MD be the dyadic Hardy-Littlewood maximal function on Rd. The paper contains the proof of the estimate w ({ x ∈… read more here.

Keywords: weak type; type inequality; weighted maximal; maximal weak ... See more keywords

A new Hermite–Hadamard type inequality for coordinate convex function

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1 Published in 2020 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-020-02428-3

Abstract: In the article, we establish a new Hermite–Hadamard type inequality for the coordinate convex function by constructing two monotonic sequences. The given result is the generalization and improvement of some previously obtained results. read more here.

Keywords: new hermite; type inequality; hadamard type; coordinate convex ... See more keywords

Rational Type Inequality with Applications to Voltera–Hammerstein Nonlinear Integral Equations

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0 Published in 2020 at "International Journal of Nonlinear Sciences and Numerical Simulation"

DOI: 10.1515/ijnsns-2018-0367

Abstract: Abstract The aim of this work is to establish fixed point theorems under rational type contractions in the framework of complex-valued metric spaces. These theorems extend and generalize some prominent results in the present literature.… read more here.

Keywords: inequality applications; type inequality; hammerstein; integral equations ... See more keywords

A note on the Nordhaus-Gaddum type inequality to the second largest eigenvalue of a graph

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1 Published in 2017 at "Applicable Analysis and Discrete Mathematics"

DOI: 10.2298/aadm1701123a

Abstract: Let G be a graph on n vertices and G¯ its complement. In this paper, we prove a Nordhaus-Gaddum type inequality to the second largest eigenvalue of a graph G, λ2(G), λ2(G) + λ2(G¯) ≤… read more here.

Keywords: second largest; type inequality; gaddum type; nordhaus gaddum ... See more keywords

A sharp Lp-Hardy type inequality on the n-sphere

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1 Published in 2020 at "Scienceasia"

DOI: 10.2306/scienceasia1513-1874.2020.090

Abstract: where the constant ( n−p p ) p is sharp. This inequality has been studied extensively in the Euclidean spaces (see [1–3]) due to its applications in different fields such as harmonic analysis, physics, spectral… read more here.

Keywords: type inequality; inequality sphere; geometry; sharp hardy ... See more keywords