Results 201 to 210 of about 53,918 (234)

Inequalities for Concentration Functions of Convolutions of Arithmetic Distributions and Distributions with Bounded Densities

Theory of Probability & Its Applications, 1988
See the review in Zbl 0624.60031.
B. A. Rogozin
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On generalization of Hermite–Hadamard–Mercer inequalities for interval-valued functions with generalized geometric–arithmetic convexity

International Journal of Geometric Methods in Modern Physics
In this paper, we introduce a new convexity notion for inter-valued functions, known as Geometrically–Arithmetically Cr-[Formula: see text]-convex functions (abbreviated as GA-Cr-[Formula: see text]-CFs) and explore its properties. The family of GA-Cr-[Formula: see text]-CFs simultaneously covers the family of GA-CFs, GA-[Formula: see text]-CFs and GA-
Asfand Fahad, Youhua Qian, Zammad Ali, Awais Younus   +3 more
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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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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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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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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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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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Exploring properties and inequalities for geometrically arithmetically-Cr-convex functions with Cr-order relative entropy

Information Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asfand Fahad, Yuanheng Wang, Zammad Ali, Riaz Hussain, Shigeru Furuichi   +4 more
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The role of m6A modification in the biological functions and diseases

Signal Transduction and Targeted Therapy, 2021
Baiyang Liu, Cui-Ping Yang, Yongbin Chen
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The Arithmetic Optimization Algorithm

Computer Methods in Applied Mechanics and Engineering, 2021
Laith Mohammad Abualigah, Ali H Diabat, Seyedali Mirjalili   +2 more
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