Results 191 to 200 of about 54,206 (225)

Approximate incidence geometry in the plane. [PDF]

Res Math Sci
Orponen T.
europepmc   +1 more source

Coexistence and extinction in flow-kick systems: An invasion growth rate approach. [PDF]

J Math Biol
Schreiber SJ.
europepmc   +1 more source

Inequalities for Three-times Differentiable Arithmetic-Harmonically Functions

Turkish Journal of Analysis and Number Theory, 2019
In this work, by using an integral identity together with both the Holder integral inequality and the power-mean integral inequality we establish several new inequalities for three-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means.
Kerim Bekar
exaly   +2 more sources

Inequalities involving arithmetic functions

Lithuanian Mathematical Journal
This paper presents a brief survey of the most important and the most remarkable inequalities involving the basic arithmetic functions.
Stoyan Dimitrov
exaly   +4 more sources

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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.
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +2 more sources

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
openaire   +1 more source