Results 171 to 180 of about 1,052 (202)

Geographical barriers and multimorbidity in quilombola territories of the amazon region. [PDF]

PLoS One
Aquino LS, Fernandes da Silva EM, Aguiar VV, Fernandes Filho CF, de Oliveira SMS, Quaresma TC, Gomes Conde VM, do Nascimento Martins NV, Honorato MM, do Nascimento VB, Barros Conde GA, de Paula Fernandes F, Valentim LA.   +12 more
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Inequalities for Concentration Functions of Convolutions of Arithmetic Distributions and Distributions with Bounded Densities

Theory of Probability and Its Applications, 1988
See the review in Zbl 0624.60031.
B A Rogozin
exaly   +2 more sources

Divisor function, inequalities and arithmetic progressions

International Journal of Number Theory, 2018
In this paper, we prove some inequalities about the partial sums [Formula: see text] and [Formula: see text], where [Formula: see text] is the divisor function.
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Some integral inequalities for arithmetically and geometrically convex functions of two variables

2022
A real convex function \(f\) is expressed by the arithmetic mean: if \(\mathcal{A}_\lambda(a,b)=\lambda a+(1-\lambda)b\) is the (weighted) arithmetic mean of two real numbers \(a\) and \(b\), then a function \(f\) is convex if and only if \(f(\mathcal{A}_\lambda(x,y))\leq \mathcal{A}_\lambda(f(x),f(y))\) for all \(x,y\) in the domain of \(f\).
Darvish, Vahid, Roushan, Tahere A, Georgiev, Svetlin G, Dragomir, Sever S   +3 more
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ON CERTAIN INEQUALITIES ABOUT ARITHMETIC FUNCTIONS WHICH USE THE EXPONENTIAL DIVISORS

International Journal of Number Theory, 2012
The purpose of this paper is to present several inequalities for the arithmetic functions σ(e) and τ(e). Among these, we have the following: [Formula: see text], for all n ≥ 6, [Formula: see text], for all n ≥ 1. We also prove that if the number [Formula: see text] is an e-perfect number, then it has at least one exponent ai equal with 2.
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Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions

Analysis, 2013
Summary: The authors introduce the notion of a geometric-arithmetically \(s\)-convex function, establish some Hermite-Hadamard type inequalities of this kind of functions, and apply their inequalities in order to construct inequalities for special means.
Shuang, Ye, Yin, Hong-Ping, Qi, Feng
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Constants in inequalities for mean values of some periodic arithmetic functions

Moscow University Mathematics Bulletin, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inequalities of Hermite-Hadamard type for \(n\)-times differentiable arithmetic-harmonically functions

2022
Summary: In this work, by using an integral identity together with both the Hölder and the power-mean integral inequalities we establish several new inequalities for \(n\)-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means.
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A sharp inequality of Halász type for the mean value of a multiplicative arithmetic function

Mathematika, 1995
The author considers complex-valued multiplicative functions \(g\), satisfying \(|g|\leq 1\), and \(g(p)\in {\mathcal D}\) for all primes \(p\), where \({\mathcal D}\) is a fixed, closed, convex proper subset of \(\Delta= \{z\in \mathbb{C}\), \(|z|\leq 1\}\), containing the point 0, with perimeter \(L({\mathcal D})\). The author is interested in \[ K_0
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